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Video Shows a Man Screaming 'Fake Pandemic' at a Florida Officer

A nearly two-minute, profanity-laced tirade at a code officer at a Miami Beach grocery store is the latest example of mounting tensions in the US over wearing masks to stem the spread of the coronavirus.




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Coronavirus is Shutting Down the Meat Supply Chain

The United States faces a major meat shortage due to virus infections at processing plants. It means millions of pigs could be put down without ever making it to table. This is what the predicament looks like on a Minnesota farm. ... According to the Minnesota Pork Producers Association, an estimated 10,000 pigs are being euthanised every day in the state. ... [Farmer Mike Boerboom:] "On the same day that we're euthanising pigs - and it's a horrible day - is the same day that a grocery store 10 miles away may not get a shipment of pork. It's just that the supply chain is broken at this point."




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Mysterious Sharks Dance Away Bethel's COVID-19 Blues

A couple of mysterious sharks have caught the fancy of the town. Maybe it's the cabin fever finally setting in, or perhaps this is what happens when you go too long without washing your mask, but Bethelites are going wild for two people in inflatable shark suits who pop up randomly around town.




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More Than 1,000 Workers at Tyson Plant Have Coronavirus

More than 1,000 workers at the Tyson Foods plant in Waterloo have tested positive for the coronavirus, a county public health leader said Thursday -- more than double the number Gov. Kim Reynolds had said were infected the day before.




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Roy Horn of 'Siegfried and Roy' Dies of COVID-19 Complications

Roy Horn, famed tiger handler and co-star of the magic duo known as Siegfried and Roy, died of complications from the coronavirus in a hospital in Las Vegas on Friday. He was 75 years old. "Today, the world has lost one of the greats of magic, but I have lost my best friend," Siegfried Fischbacher said in a statement. "From the moment we met, I knew Roy and I, together, would change the world." "There could be no Siegfried without Roy, and no Roy without Siegfried." This is a developing story. Please check back for updates.




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DHS: Secret Service has 11 Current Virus Cases

According to the DHS document, along with the 11 active cases there are 23 members of the Secret Service who have recovered from COVID-19 and an additional 60 employees who are self-quarantining. No details have been provided about which members of the Secret Service are infected or if any have recently been on detail with the president or vice president.




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Redefine Creativity – A conversation with Kevin Rose

Today I’m sitting down with investor, serial entrepreneur and all around good human, Kevin Rose. If you’re a long timer listener, you might remember Kevin was part of 30 Days of Genius. Now the tables are turned and I’m in the hot seat as a guest on his podcast, the Kevin Rose Show. Of course, it’s always fun sitting down with one of my long time homies to unpack some of my favorite topics, including: How to build your creative muscle and why it’s becoming more important Standing out and why you’re uniquely qualified. Forgetting the “shoulds” is a must do to uncork our richest lives and much more… Big shoutout to Kevin for having me on the show … and if you haven’t already, be sure to check out his podcast The Kevin Rose Show anywhere you listen to podcasts. Enjoy! FOLLOW KEVIN: instagram | twitter | website Listen to the Podcast Subscribe   This podcast is brought to you by CreativeLive. CreativeLive is the world’s largest hub for online creative education in photo/video, art/design, music/audio, craft/maker, money/life and the ability to make a living in any of those disciplines. They are high quality, highly curated classes taught by the world’s top […]

The post Redefine Creativity – A conversation with Kevin Rose appeared first on Chase Jarvis Photography.




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Choose Creativity – A Conversation with Jordon Harbinger

Recently sat down with my man Jordan Harbinger on his podcast The Jordan Harbinger Show. As a radio personality and a podcaster long before it was cool, Jordan is no stranger to the mic. It was a fun conversation and I hope you enjoy! A few of my fav topics: I share my framework for learning from the masters by deconstructing what they do and applying it My creative slumps and how I dug out How mindset matters and unwinding our self-limiting beliefs and much more … Big shoutout to Jordan for having me on the show … and if you haven’t already, be sure to check out his podcast The Jordan Harbinger Show anywhere you listen to podcasts. Enjoy! FOLLOW JORDAN: instagram| facebook | twitter | website Listen to the Podcast Subscribe   This podcast is brought to you by CreativeLive. CreativeLive is the world’s largest hub for online creative education in photo/video, art/design, music/audio, craft/maker, money/life and the ability to make a living in any of those disciplines. They are high quality, highly curated classes taught by the world’s top experts — Pulitzer, Oscar, Grammy Award winners, New York Times best selling authors and the best entrepreneurs of our […]

The post Choose Creativity – A Conversation with Jordon Harbinger appeared first on Chase Jarvis Photography.




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10 Breaths Back to Love with Kamal Ravikant

Kamal Ravikant was in a dark place. After four years of pouring his heart, soul, and money into his tech startup, it blew up. He lost everything – including himself. In a moment of desperation, a vow deep within came to the surface: to love himself. Though it was a bit of a foreign concept, he set out to undo the misery in his head through the lens of love. The practice Kamal formed became the self-published book: Love Yourself Like Your Life Depends on It. It sold over a half a million copies and is now newly expanded. In our conversation Kamal shares his ruthlessly practical way he unwound the negative thoughts and more importantly, made it last. In our conversation we explore: Mindset as a practice, including the 7 minute meditation Kamal uses to break old mental patterns Kamal shares his advice in getting unstuck, including giving yourself time to simply live Our brain is a monkey gone bananas. Pain, joy, loneliness, love are a universal part of the human condition such that no matter our individual circumstance we are all trying to tame it. and much more… Enjoy! FOLLOW KAMAL: instagram | twitter | website Listen to the Podcast […]

The post 10 Breaths Back to Love with Kamal Ravikant appeared first on Chase Jarvis Photography.




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The Code of the Extraordinary Mind with Vishen Lakhiani

Join me + bestselling author Vishen Lakhiani LIVE Tuesday April 7 at 6:30pm PST. Vishen Lakhiani is one of today’s most influential minds in the fields of education and human consciousness. He is the founder of Mindvalley University and its 2 million-strong student base and creator of the Quests learning platform: a next-generation method of online learning, which attains an unheard-of 60% completion rate on courses, in an industry where 8% is average. Vishen’s book, The Code of the Extraordinary Mind, made the New York Times Business Best Sellers List, and hit the coveted #1 spot on Amazon five times in 2017. Enjoy! FOLLOW VISHEN: instagram | facebook | website Listen to the Podcast coming soon … Subscribe   This podcast is brought to you by CreativeLive. CreativeLive is the world’s largest hub for online creative education in photo/video, art/design, music/audio, craft/maker, money/life and the ability to make a living in any of those disciplines. They are high quality, highly curated classes taught by the world’s top experts — Pulitzer, Oscar, Grammy Award winners, New York Times best selling authors and the best entrepreneurs of our times.

The post The Code of the Extraordinary Mind with Vishen Lakhiani appeared first on Chase Jarvis Photography.




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Ben Moon: Surf, Survival, and Life on the Road

Since we’re home, I’m working to bring more LIVE conversations to you from our living rooms. ???? Join me + adventure photographer / filmmaker Ben Moon at 12:30PM PST tomorrow. There will be a live chat, so please ask us some questions as well. See you there. You might know Ben from his adventure and lifestyle photography or his beautiful films. Surviving cancer in his 20s gradually shifted his artistic focus from capturing the pursuit of adventure to telling nuanced human stories that have inspired and impacted millions. Most notably, his personal story battling colorectal cancer and his special relationship with his dog Denali, which he shares in his beautiful viral short film, now turned book, Denali. ABOUT BEN Ben Moon is an adventure, lifestyle, and portrait photographer whose vibrant images have graced the pages of Patagonia catalogues for the past 18 years.  In recent years, he has shifted his focus to filmmaking. In 2015, he founded his production company, Moonhouse as a platform for collaboration with friends and creatives to bring a wide range of thought-provoking, impactful and cinematically beautiful stories to life on-screen. As a director, Ben’s unique ability to connect with his subjects paired with the talent […]

The post Ben Moon: Surf, Survival, and Life on the Road appeared first on Chase Jarvis Photography.




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Surviving + Thriving with Jasmine Star

If you missed my conversation with my dear friend photographer + entrepreneur Jasmine Star, we were LIVE on CreativeLive TV. CreativeLiveTV is a brand-new, free, 24/7 variety show, live-streamed from the very casual living rooms, studios, and kitchen tables of our worldwide community of legendary creators.  Worth checking out over at http://creativelive.com/tv. In this episode, we’re coming to you from our living rooms to chat about not just survive in these strange times, but to thrive. In particular, finding, participating, and growing your online community. Enjoy! FOLLOW JASMINE: instagram | twitter | website Listen to the Podcast Subscribe   Watch the Episode This podcast is brought to you by CreativeLive. CreativeLive is the world’s largest hub for online creative education in photo/video, art/design, music/audio, craft/maker, money/life and the ability to make a living in any of those disciplines. They are high quality, highly curated classes taught by the world’s top experts — Pulitzer, Oscar, Grammy Award winners, New York Times best selling authors and the best entrepreneurs of our times.

The post Surviving + Thriving with Jasmine Star appeared first on Chase Jarvis Photography.




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A Viget Exploration: How Tech Can Help in a Pandemic

Viget Explorations have always been the result of our shared curiosities. They’re usually a spontaneous outcome of team downtime and a shared problem we’ve experienced. We use our Explorations to pursue our diverse interests and contribute to the conversations about building a better digital world.

As the COVID-19 crisis emerged, we were certainly experiencing a shared problem. As a way to keep busy and manage our anxieties, a small team came together to dive into how technology has helped, and, unfortunately, hindered the community response to the current pandemic.

We started by researching the challenges we saw: information overload, a lack of clarity, individual responsibility, and change. Then we brainstormed possible technical solutions that could further improve how communities respond to a pandemic. Click here to see our Exploration on some possible ways to take the panic out of pandemics.

While we aren’t currently pursuing the solutions outlined in the Exploration, we’d love to hear what you think about these approaches, as well as any ideas you have for how technology can help address the outlined challenges.

Please note, this Exploration doesn’t provide medical information. Visit the Center for Disease Control’s website for current information and COVID-19, its symptoms, and treatments.

At Viget, we’re adjusting to this crisis for the safety of our clients, our staff, and our communities. If you’d like to hear from Viget's co-founder, Brian Williams, you can read his article on our response to the situation.



  • News & Culture

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A Viget Glossary: What We Mean and Why it Matters - Part 1

Viget has helped organizations design and develop award-winning websites and digital products for 20 years. In that time, we’ve been lucky to create long-term relationships with clients like Puma, the World Wildlife Fund, and Privia Health, and, throughout our time working together, we’ve come to understand each others’ unique terminology. But that isn’t always the case when we begin work with new clients, and in a constantly-evolving industry, we know that new terminology appears almost daily and organizations have unique definitions for deliverables and processes.

Kicking off a project always initiates a flurry of activity. There are contracts to sign, team members to introduce, and new platforms to learn. It’s an exciting time, and we know clients are anxious to get underway. Amidst all the activity, though, there is a need to define and create a shared lexicon to ensure both teams understand the project deliverables and process that will take us from kickoff to launch.

Below, we’ve rounded up a few terms for each of our disciplines that often require additional explanation. Note: our definitions of these terms may differ slightly from the industry standard, but highlight our interpretation and use of them on a daily basis.

User Experience

Research

In UX, there is a proliferation of terms that are often used interchangeably and mean almost-but-subtly-not the same thing. Viget uses the term research to specifically mean user research — learning more about the users of our products, particularly how they think and behave — in order to make stronger recommendations and better designs. This can be accomplished through different methodologies, depending on the needs of the project, and can include moderated usability testing, stakeholder interviews, audience research, surveys, and more. Learn more about the subtleties of UX research vocabulary in our post on “Speaking the Same Language About Research”.

Wireframes

We use wireframes to show the priority and organization of content on the screen, to give a sense of what elements will get a stronger visual treatment, and to detail how users will get to other parts of the site. Wireframes are a key component of website design — think of them as the skeleton or blueprint of a page — but we know that clients often feel uninspired after reviewing pages built with gray boxes. In fact, we’ve even written about how to improve wireframe presentations. We remind clients that visual designers will step in later to add polish through color, graphics, and typography, but agreeing on the foundation of the page is an important and necessary first step.

Prototypes

During the design process, it’s helpful for us to show clients how certain pieces of functionality or animations will work once the site is developed. We can mimic interactivity or test a technical proof of concept by using a clickable prototype, relying on tools like Figma, Invision, or Principle. Our prototypes can be used to illustrate a concept to internal stakeholders, but shouldn’t be seen as a final approach. Often, these concepts will require additional work to prepare them for developer handoff, which means that prototypes quickly become outdated. Read more about how and when we use prototypes.

Navigation Testing (Treejack Testing)

Following an information architecture presentation, we will sometimes recommend that clients conduct navigation testing. When testing, we present a participant with the proposed navigation and ask them to perform specific tasks in order to see if they will be able to locate the information specified within the site’s new organization. These tests generally focus on two aspects of the navigation: the structure of the navigation system itself, and the language used within the system. Treejack is an online navigation testing tool that we like to employ when conducting navigation tests, so we’ll often interchange the terms “navigation testing” with “treejack testing”.

Learn more about Viget’s approach to user experience and research




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A Viget Glossary: What We Mean and Why It Matters - Part 2

In my last post, I defined terms used by our UX team that are often confused or have multiple meanings across the industry. Today, I’ll share our definitions for processes and deliverables used by our design and strategy teams.

Creative

Brand Strategy

In our experience, we’ve found that the term brand strategy is used to cover a myriad of processes, documents, and deliverables. To us, a brand strategy defines how an organization communicates who they are, what they do and why in a clear and compelling way. Over the years, we’ve developed an approach to brand strategy work that emphasizes rigorous research, hands-on collaboration, and the definition of problems and goals. We work with clients to align on a brand strategy concept and, depending on the client and their goals, our final deliverables can range to include strategy definition, audience-specific messaging, identity details, brand elements, applications, and more. Take a look at the brand strategy work we’ve done for Fiscalnote, Swiftdine, and Armstrong Tire.

Content Strategy

A content strategy goes far beyond the words on a website or in an app. A strong content strategy dictates the substance, structure, and governance of the information an organization uses to communicate to its audience. It guides creating, organizing, and maintaining content so that companies can communicate who they are, what they do, and why efficiently and effectively. We’ve worked with organizations like the Washington Speakers Bureau, The Nature Conservancy, the NFL Players Association, and the Wildlife Conservation Society to refine and enhance their content strategies.

Still confused about the difference between brand and content strategy? Check out our flowchart.

Style Guide vs. Brand Guidelines

We often find the depth or fidelity of brand guidelines and style guides can vary greatly, and the terms can often be confused. When we create brand guidelines, they tend to be large documents that include in-depth recommendations about how a company should communicate their brand. Sections like “promise”, “vision”, “mission”, “values”, “tone”, etc. accompany details about how the brand’s logo, colors and fonts should be used in a variety of scenarios. Style guides, on the other hand, are typically pared down documents that contain specific guidance for organizations’ logos, colors and fonts, and don’t always include usage examples.

Design System

One question we get from clients often during a redesign or rebrand is, “How can I make sure people across my organization are adhering to our new designs?” This is where a design system comes into play. Design systems can range from the basic — e.g., a systematic approach to creating shared components for a single website — all the way to the complex —e.g., architecting a cross-product design system that can scale to accommodate hundreds of different products within a company. By assembling elements like color, typography, imagery, messaging, voice and tone, and interaction patterns in a central repository, organizations are able to scale products and marketing confidently and efficiently. When a design system is translated into code, we refer to that as a parts kit, which helps enforce consistency and improve workflow.

Comps or Mocks

When reviewing RFPs or going through the nitty-gritty of contracts with clients, we often see the terms mocks or comps used interchangeably to refer to the static design of pages or screens. Internally, we think of a mock-up as a static image file that illustrates proof-of-concept, just a step beyond a wireframe. A comp represents a design that is “high fidelity” and closer to what the final website will look like, though importantly, is not an exact replica. This is likely what clients will share with internal stakeholders to get approval on the website direction and what our front-end developers will use to begin building-out the site (in other words, converting the static design files into dynamic HTML, CSS, and JavaScript code).

If you're interested in joining our team of creative thinkers and visual storytellers who bring these concepts to life for our clients, we’re hiring in Washington, D.C. Durham, Boulder and Chattanooga. Tune in next week as we decipher the terms we use most often when talking about development.




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Wix Video — a great marketing tool for any website.

Increases time on page and boosts engagement with your site Thanks to the ever-increasing internet speeds, videos are in high demand. Right now, video is everywhere on social media, websites, and apps. We are watching them on all our screens, desktops, tablets, phones and smart TVs. It is expected a growth in video content up …

Wix Video — a great marketing tool for any website. Read More »




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Leaving Lightroom behind

As I stated in my Best of 2017 post, I didn’t get to take many photos this year – which also multiple times throughout the year made me think: why am I paying so much money for Lightroom for how […]




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#COVIDwear: a hilarious photo series showing quarantine fashion of remote workers

With the coronavirus pandemic, many folks switched to working online. Things like teaching, business meetings and other face-to-face activities have been replaced with video calls. Home has become both home and workplace, and admit it: your wardrobe totally reflects this. Creative duo The Workmans shows this “fashion crossover” in their latest photo series #COVIDwear. The […]

The post #COVIDwear: a hilarious photo series showing quarantine fashion of remote workers appeared first on DIY Photography.







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Paper: Evidence for Area as the Primary Visual Cue in Pie Charts

How we read pie charts is still an open question: is it angle? Is it area? Is it arc length? In a study I'm presenting as a short paper at the IEEE VIS conference in Vancouver next week, I tried to tease the visual cues apart – using modeling and 3D pie charts. The big […]




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Review: Alberto Cairo, How Charts Lie

Alberto Cairo’s new book, How Charts Lie, takes readers on a tour of how charts are used and misused, and teaches them how to not be misled. It’s a useful book for both makers and consumers of charts, in the news, business, and pretty much anywhere else. When Alberto started talking about the title on […]




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The Visual Evolution of the “Flattening the Curve” Information Graphic

Communication has been quite a challenge during the COVID-19 pandemic, and data visualization hasn't been the most helpful given the low quality of the data – see Amanda Makulec's plea to think harder about making another coronavirus chart. A great example of how to do things right is the widely-circulated Flatten the Curve information graphic/cartoon. […]




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Resonances as Viscosity Limits for Exponentially Decaying Potentials. (arXiv:2005.01257v2 [math.SP] UPDATED)

We show that the complex absorbing potential (CAP) method for computing scattering resonances applies to the case of exponentially decaying potentials. That means that the eigenvalues of $-Delta + V - iepsilon x^2$, $|V(x)|leq e^{-2gamma |x|}$ converge, as $ epsilon o 0+ $, to the poles of the meromorphic continuation of $ ( -Delta + V -lambda^2 )^{-1} $ uniformly on compact subsets of $ extrm{Re},lambda>0$, $ extrm{Im},lambda>-gamma$, $arglambda > pi/8$.




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Solving an inverse problem for the Sturm-Liouville operator with a singular potential by Yurko's method. (arXiv:2004.14721v2 [math.SP] UPDATED)

An inverse spectral problem for the Sturm-Liouville operator with a singular potential from the class $W_2^{-1}$ is solved by the method of spectral mappings. We prove the uniqueness theorem, develop a constructive algorithm for solution, and obtain necessary and sufficient conditions of solvability for the inverse problem in the self-adjoint and the non-self-adjoint cases




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On the Asymptotic $u_0$-Expected Flooding Time of Stationary Edge-Markovian Graphs. (arXiv:2004.03660v4 [math.PR] UPDATED)

Consider that $u_0$ nodes are aware of some piece of data $d_0$. This note derives the expected time required for the data $d_0$ to be disseminated through-out a network of $n$ nodes, when communication between nodes evolves according to a graphical Markov model $overline{ mathcal{G}}_{n,hat{p}}$ with probability parameter $hat{p}$. In this model, an edge between two nodes exists at discrete time $k in mathbb{N}^+$ with probability $hat{p}$ if this edge existed at $k-1$, and with probability $(1-hat{p})$ if this edge did not exist at $k-1$. Each edge is interpreted as a bidirectional communication link over which data between neighbors is shared. The initial communication graph is assumed to be an Erdos-Renyi random graph with parameters $(n,hat{p})$, hence we consider a emph{stationary} Markov model $overline{mathcal{G}}_{n,hat{p}}$. The asymptotic "$u_0$-expected flooding time" of $overline{mathcal{G}}_{n,hat{p}}$ is defined as the expected number of iterations required to transmit the data $d_0$ from $u_0$ nodes to $n$ nodes, in the limit as $n$ approaches infinity. Although most previous results on the asymptotic flooding time in graphical Markov models are either emph{almost sure} or emph{with high probability}, the bounds obtained here are emph{in expectation}. However, our bounds are tighter and can be more complete than previous results.




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Weak-strong uniqueness for an elastic plate interacting with the Navier Stokes equation. (arXiv:2003.04049v2 [math.AP] UPDATED)

We show weak-strong uniqueness and stability results for the motion of a two or three dimensional fluid governed by the Navier-Stokes equation interacting with a flexible, elastic plate of Koiter type. The plate is situated at the top of the fluid and as such determines the variable part of a time changing domain (that is hence a part of the solution) containing the fluid. The uniqueness result is a consequence of a stability estimate where the difference of two solutions is estimated by the distance of the initial values and outer forces. For that we introduce a methodology that overcomes the problem that the two (variable in time) domains of the fluid velocities and pressures are not the same. The estimate holds under the assumption that one of the two weak solutions possesses some additional higher regularity. The additional regularity is exclusively requested for the velocity of one of the solutions resembling the celebrated Ladyzhenskaya-Prodi-Serrin conditions in the framework of variable domains.




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Stationary Gaussian Free Fields Coupled with Stochastic Log-Gases via Multiple SLEs. (arXiv:2001.03079v3 [math.PR] UPDATED)

Miller and Sheffield introduced a notion of an imaginary surface as an equivalence class of pairs of simply connected proper subdomains of $mathbb{C}$ and Gaussian free fields (GFFs) on them under conformal equivalence. They considered the situation in which the conformal transformations are given by a chordal Schramm--Loewner evolution (SLE). In the present paper, we construct processes of GFF on $mathbb{H}$ (the upper half-plane) and $mathbb{O}$ (the first orthant of $mathbb{C}$) by coupling zero-boundary GFFs on these domains with stochastic log-gases defined on parts of boundaries of the domains, $mathbb{R}$ and $mathbb{R}_+$, called the Dyson model and the Bru--Wishart process, respectively, using multiple SLEs evolving in time. We prove that the obtained processes of GFF are stationary. The stationarity defines an equivalence relation between GFFs, and the pairs of time-evolutionary domains and stationary processes of GFF will be regarded as generalizations of the imaginary surfaces studied by Miller and Sheffield.




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Poisson Dixmier-Moeglin equivalence from a topological point of view. (arXiv:1908.06542v2 [math.RA] UPDATED)

In this paper, we provide some topological criteria for the Poisson Dixmier-Moeglin equivalence for $A$ in terms of the poset $({ m P. spec A}, subseteq)$ and the symplectic leaf or core stratification on its maximal spectrum. In particular, we prove that the Zariski topology of the Poisson prime spectrum and of each symplectic leaf or core can detect the Poisson Dixmier-Moeglin equivalence for any complex affine Poisson algebra. Moreover, we generalize the weaker version of the Poisson Dixmier-Moeglin equivalence for a complex affine Poisson algebra proved in [J. Bell, S. Launois, O.L. S'anchez, and B. Moosa, Poisson algebras via model theory and differential algebraic geometry, J. Eur. Math. Soc. (JEMS), 19(2017), no. 7, 2019-2049] to the general context of a commutative differential algebra.




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Equivariant Batalin-Vilkovisky formalism. (arXiv:1907.07995v3 [hep-th] UPDATED)

We study an equivariant extension of the Batalin-Vilkovisky formalism for quantizing gauge theories. Namely, we introduce a general framework to encompass failures of the quantum master equation, and we apply it to the natural equivariant extension of AKSZ solutions of the classical master equation (CME). As examples of the construction, we recover the equivariant extension of supersymmetric Yang-Mills in 2d and of Donaldson-Witten theory.




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Diophantine Equations Involving the Euler Totient Function. (arXiv:1902.01638v4 [math.NT] UPDATED)

We deal with various Diophantine equations involving the Euler totient function and various sequences of numbers, including factorials, powers, and Fibonacci sequences.




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A Forward-Backward Splitting Method for Monotone Inclusions Without Cocoercivity. (arXiv:1808.04162v4 [math.OC] UPDATED)

In this work, we propose a simple modification of the forward-backward splitting method for finding a zero in the sum of two monotone operators. Our method converges under the same assumptions as Tseng's forward-backward-forward method, namely, it does not require cocoercivity of the single-valued operator. Moreover, each iteration only requires one forward evaluation rather than two as is the case for Tseng's method. Variants of the method incorporating a linesearch, relaxation and inertia, or a structured three operator inclusion are also discussed.




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Effective divisors on Hurwitz spaces. (arXiv:1804.01898v3 [math.AG] UPDATED)

We prove the effectiveness of the canonical bundle of several Hurwitz spaces of degree k covers of the projective line from curves of genus 13<g<20.




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Expansion of Iterated Stratonovich Stochastic Integrals of Arbitrary Multiplicity Based on Generalized Iterated Fourier Series Converging Pointwise. (arXiv:1801.00784v9 [math.PR] UPDATED)

The article is devoted to the expansion of iterated Stratonovich stochastic integrals of arbitrary multiplicity $k$ $(kinmathbb{N})$ based on the generalized iterated Fourier series. The case of Fourier-Legendre series as well as the case of trigonotemric Fourier series are considered in details. The obtained expansion provides a possibility to represent the iterated Stratonovich stochastic integral in the form of iterated series of products of standard Gaussian random variables. Convergence in the mean of degree $2n$ $(nin mathbb{N})$ of the expansion is proved. Some modifications of the mentioned expansion were derived for the case $k=2$. One of them is based of multiple trigonomentric Fourier series converging almost everywhere in the square $[t, T]^2$. The results of the article can be applied to the numerical solution of Ito stochastic differential equations.




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Categorification via blocks of modular representations for sl(n). (arXiv:1612.06941v3 [math.RT] UPDATED)

Bernstein, Frenkel, and Khovanov have constructed a categorification of tensor products of the standard representation of $mathfrak{sl}_2$, where they use singular blocks of category $mathcal{O}$ for $mathfrak{sl}_n$ and translation functors. Here we construct a positive characteristic analogue using blocks of representations of $mathfrak{sl}_n$ over a field $ extbf{k}$ of characteristic $p$ with zero Frobenius character, and singular Harish-Chandra character. We show that the aforementioned categorification admits a Koszul graded lift, which is equivalent to a geometric categorification constructed by Cautis, Kamnitzer, and Licata using coherent sheaves on cotangent bundles to Grassmanians. In particular, the latter admits an abelian refinement. With respect to this abelian refinement, the stratified Mukai flop induces a perverse equivalence on the derived categories for complementary Grassmanians. This is part of a larger project to give a combinatorial approach to Lusztig's conjectures for representations of Lie algebras in positive characteristic.




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On the asymptotic behavior of solutions to the Vlasov-Poisson system. (arXiv:2005.03617v1 [math.AP])

We prove small data modified scattering for the Vlasov-Poisson system in dimension $d=3$ using a method inspired from dispersive analysis. In particular, we identify a simple asymptotic dynamic related to the scattering mass.




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A Model for Optimal Human Navigation with Stochastic Effects. (arXiv:2005.03615v1 [math.OC])

We present a method for optimal path planning of human walking paths in mountainous terrain, using a control theoretic formulation and a Hamilton-Jacobi-Bellman equation. Previous models for human navigation were entirely deterministic, assuming perfect knowledge of the ambient elevation data and human walking velocity as a function of local slope of the terrain. Our model includes a stochastic component which can account for uncertainty in the problem, and thus includes a Hamilton-Jacobi-Bellman equation with viscosity. We discuss the model in the presence and absence of stochastic effects, and suggest numerical methods for simulating the model. We discuss two different notions of an optimal path when there is uncertainty in the problem. Finally, we compare the optimal paths suggested by the model at different levels of uncertainty, and observe that as the size of the uncertainty tends to zero (and thus the viscosity in the equation tends to zero), the optimal path tends toward the deterministic optimal path.




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On products of groups and indices not divisible by a given prime. (arXiv:2005.03608v1 [math.GR])

Let the group $G = AB$ be the product of subgroups $A$ and $B$, and let $p$ be a prime. We prove that $p$ does not divide the conjugacy class size (index) of each $p$-regular element of prime power order $xin Acup B$ if and only if $G$ is $p$-decomposable, i.e. $G=O_p(G) imes O_{p'}(G)$.




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Asymptotic behavior of Wronskian polynomials that are factorized via $p$-cores and $p$-quotients. (arXiv:2005.03516v1 [math.CA])

In this paper we consider Wronskian polynomials labeled by partitions that can be factorized via the combinatorial concepts of $p$-cores and $p$-quotients. We obtain the asymptotic behavior for these polynomials when the $p$-quotient is fixed while the size of the $p$-core grows to infinity. For this purpose, we associate the $p$-core with its characteristic vector and let all entries of this vector simultaneously tend to infinity. This result generalizes the Wronskian Hermite setting which is recovered when $p=2$.




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A reaction-diffusion system to better comprehend the unlockdown: Application of SEIR-type model with diffusion to the spatial spread of COVID-19 in France. (arXiv:2005.03499v1 [q-bio.PE])

A reaction-diffusion model was developed describing the spread of the COVID-19 virus considering the mean daily movement of susceptible, exposed and asymptomatic individuals. The model was calibrated using data on the confirmed infection and death from France as well as their initial spatial distribution. First, the system of partial differential equations is studied, then the basic reproduction number, R0 is derived. Second, numerical simulations, based on a combination of level-set and finite differences, shown the spatial spread of COVID-19 from March 16 to June 16. Finally, scenarios of unlockdown are compared according to variation of distancing, or partially spatial lockdown.




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Solving equations in dense Sidon sets. (arXiv:2005.03484v1 [math.CO])

We offer an alternative proof of a result of Conlon, Fox, Sudakov and Zhao on solving translation-invariant linear equations in dense Sidon sets. Our proof generalises to equations in more than five variables and yields effective bounds.




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The formation of trapped surfaces in the gravitational collapse of spherically symmetric scalar fields with a positive cosmological constant. (arXiv:2005.03434v1 [gr-qc])

Given spherically symmetric characteristic initial data for the Einstein-scalar field system with a positive cosmological constant, we provide a criterion, in terms of the dimensionless size and dimensionless renormalized mass content of an annular region of the data, for the formation of a future trapped surface. This corresponds to an extension of Christodoulou's classical criterion by the inclusion of the cosmological term.




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Filtered expansions in general relativity II. (arXiv:2005.03390v1 [math-ph])

This is the second of two papers in which we construct formal power series solutions in external parameters to the vacuum Einstein equations, implementing one bounce for the Belinskii-Khalatnikov-Lifshitz (BKL) proposal for spatially inhomogeneous spacetimes. Here we show that spatially inhomogeneous perturbations of spatially homogeneous elements are unobstructed. A spectral sequence for a filtered complex, and a homological contraction based on gauge-fixing, are used to do this.




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A regularity criterion of the 3D MHD equations involving one velocity and one current density component in Lorentz. (arXiv:2005.03377v1 [math.AP])

In this paper, we study the regularity criterion of weak solutions to the three-dimensional (3D) MHD equations. It is proved that the solution $(u,b)$ becomes regular provided that one velocity and one current density component of the solution satisfy% egin{equation} u_{3}in L^{frac{30alpha }{7alpha -45}}left( 0,T;L^{alpha ,infty }left( mathbb{R}^{3} ight) ight) ext{ with }frac{45}{7}% leq alpha leq infty , label{eq01} end{equation}% and egin{equation} j_{3}in L^{frac{2eta }{2eta -3}}left( 0,T;L^{eta ,infty }left( mathbb{R}^{3} ight) ight) ext{ with }frac{3}{2}leq eta leq infty , label{eq02} end{equation}% which generalize some known results.




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Evaluating the phase dynamics of coupled oscillators via time-variant topological features. (arXiv:2005.03343v1 [physics.data-an])

The characterization of phase dynamics in coupled oscillators offers insights into fundamental phenomena in complex systems. To describe the collective dynamics in the oscillatory system, order parameters are often used but are insufficient for identifying more specific behaviors. We therefore propose a topological approach that constructs quantitative features describing the phase evolution of oscillators. Here, the phase data are mapped into a high-dimensional space at each time point, and topological features describing the shape of the data are subsequently extracted from the mapped points. We extend these features to time-variant topological features by considering the evolution time, which serves as an additional dimension in the topological-feature space. The resulting time-variant features provide crucial insights into the time evolution of phase dynamics. We combine these features with the machine learning kernel method to characterize the multicluster synchronized dynamics at a very early stage of the evolution. Furthermore, we demonstrate the usefulness of our method for qualitatively explaining chimera states, which are states of stably coexisting coherent and incoherent groups in systems of identical phase oscillators. The experimental results show that our method is generally better than those using order parameters, especially if only data on the early-stage dynamics are available.




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Asymptotics of PDE in random environment by paracontrolled calculus. (arXiv:2005.03326v1 [math.PR])

We apply the paracontrolled calculus to study the asymptotic behavior of a certain quasilinear PDE with smeared mild noise, which originally appears as the space-time scaling limit of a particle system in random environment on one dimensional discrete lattice. We establish the convergence result and show a local in time well-posedness of the limit stochastic PDE with spatial white noise. It turns out that our limit stochastic PDE does not require any renormalization. We also show a comparison theorem for the limit equation.




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Revised dynamics of the Belousov-Zhabotinsky reaction model. (arXiv:2005.03325v1 [nlin.CD])

The main aim of this paper is to detect dynamical properties of the Gy"orgyi-Field model of the Belousov-Zhabotinsky chemical reaction. The corresponding three-variable model given as a set of nonlinear ordinary differential equations depends on one parameter, the flow rate. As certain values of this parameter can give rise to chaos, the analysis was performed in order to identify different dynamics regimes. Dynamical properties were qualified and quantified using classical and also new techniques. Namely, phase portraits, bifurcation diagrams, the Fourier spectra analysis, the 0-1 test for chaos, and approximate entropy. The correlation between approximate entropy and the 0-1 test for chaos was observed and described in detail. Moreover, the three-stage system of nested subintervals of flow rates, for which in every level the 0-1 test for chaos and approximate entropy was computed, is showing the same pattern. The study leads to an open problem whether the set of flow rate parameters has Cantor like structure.




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Lorentz estimates for quasi-linear elliptic double obstacle problems involving a Schr"odinger term. (arXiv:2005.03281v1 [math.AP])

Our goal in this article is to study the global Lorentz estimates for gradient of weak solutions to $p$-Laplace double obstacle problems involving the Schr"odinger term: $-Delta_p u + mathbb{V}|u|^{p-2}u$ with bound constraints $psi_1 le u le psi_2$ in non-smooth domains. This problem has its own interest in mathematics, engineering, physics and other branches of science. Our approach makes a novel connection between the study of Calder'on-Zygmund theory for nonlinear Schr"odinger type equations and variational inequalities for double obstacle problems.




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A Chance Constraint Predictive Control and Estimation Framework for Spacecraft Descent with Field Of View Constraints. (arXiv:2005.03245v1 [math.OC])

Recent studies of optimization methods and GNC of spacecraft near small bodies focusing on descent, landing, rendezvous, etc., with key safety constraints such as line-of-sight conic zones and soft landings have shown promising results; this paper considers descent missions to an asteroid surface with a constraint that consists of an onboard camera and asteroid surface markers while using a stochastic convex MPC law. An undermodeled asteroid gravity and spacecraft technology inspired measurement model is established to develop the constraint. Then a computationally light stochastic Linear Quadratic MPC strategy is presented to keep the spacecraft in satisfactory field of view of the surface markers while trajectory tracking, employing chance based constraints and up-to-date estimation uncertainty from navigation. The estimation uncertainty giving rise to the tightened constraints is particularly addressed. Results suggest robust tracking performance across a variety of trajectories.