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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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Adaptation, Self-Awareness and Art of the Side Hustle with Chris Guillebeau

Chris Guillebeau has traveled to 193 countries. And just to be clear, that is all of the countries recognized on the planet. He is the first person to do it before the age of 35. More importantly, he has built online businesses, side hustles, and mastered the art of a non-conforming lifestyle since he was 19 years old. There’s almost nobody better person equipped to talk about starting lots of businesses. He has a daily podcast called Side Hustle School where he’s featured more than 850 different side hustle businesses + featured many in his new book called 100 Side Hustles. Chris also started half a dozen or more himself, started one of my favorite conferences, The World Domination Summit, and is a New York Times bestselling author of books like the $100 Start Up and The Art of Non-Conformity and many others. This guy is a beast and he’s so savvy, so humble. In this episode: We go into details about some of Chris’ favorite side hustle businesses he’s come across in his podcast & writing this book – what are some of the most common traits and failures. Chris shares his experience with depression, how he’s faced it, […]

The post Adaptation, Self-Awareness and Art of the Side Hustle with Chris Guillebeau appeared first on Chase Jarvis Photography.




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Win the Morning. Win the Day with Tim Ferriss

In small, daily actions you’re creating outcomes for yourself and by extension, creating your life. My man Tim Ferriss is a master at deconstructing the work of others and de-stilling it into a working practice. In fact, he wrote his book Tools of Titans as a reference of some of the tactics, routines, and habits of billionaires. In this quick episode, he shares the 3 key themes he’s seen in over 200 hundred people he’s interviewed. Enjoy! FOLLOW TIM: 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 Win the Morning. Win the Day with Tim Ferriss appeared first on Chase Jarvis Photography.




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Finding Stillness in a Fast Paced World with Ryan Holiday

Ryan Holiday is described by the New York Times as popularizing stoicism, a philosophy of personal ethics which has been practiced by Kings, presidents, artists, writers, and entrepreneurs. His career started at 19 when he dropped out of college at 19 to work with author Robert Greene. Today, he’s a NYT Bestselling author, with 9 books under his belt, including his latest book: Stillness Is the Key which hit #1 on its first week. In this episode: Stillness isn’t a monk-like existence only reserved for the enlightened. Stillness is the idea of being still in a chaotic world and where our best work will come from. Ryan’s personal habits and process during the creation process to find stillness and it doesn’t include meditation. How to say no and build a practice around managing your time. Enjoy! FOLLOW RYAN: 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 […]

The post Finding Stillness in a Fast Paced World with Ryan Holiday appeared first on Chase Jarvis Photography.




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Dan Pink: If You Believe In It. Share It.

Dan Pink is a bestselling author and was the host & co-executive producer of “Crowd Control”, a television series about human behavior on National Geographic. He’s appeared frequently on NPR, PBS, ABC, CNN, and other TV/radio networks worldwide. His provocative books include Drive, A Whole New Mind, To Sell is Human, and his latest book, When: The Scientific Secrets of Perfect Timing. I love Dan’s books. He’s a ruthlessly practical thinker and in this episode he doesn’t hold back. We get into: How to see trends or unlikely connections across by absorbing and learning from a wide variety of sources, whether that’s audio programs, books, documentaries, or episodes of Silicon Valley. Using lists to track influences, sources, and even random ideas or curiosities to spark new ideas Selling isn’t a dirty word, it’s required to get our ideas out there. If we believe in our work, we have a moral obligation to share it. and so much more… Enjoy! FOLLOW DAN: 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 […]

The post Dan Pink: If You Believe In It. Share It. appeared first on Chase Jarvis Photography.




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Freaky Logo Friday. Logo Mash-Ups

What would happen if the logos of famous brands suddenly wake up in the bed of another? Thats what the new tumblr blog Logo Mashups explores. It makes us think in the in the connections they share and how they are constantly appealing to our consumer mind through the commons grounds of symbology and typography.




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Implementing Dark Mode In React Apps Using styled-components

One of the most commonly requested software features is dark mode (or night mode, as others call it). We see dark mode in the apps that we use every day. From mobile to web apps, dark mode has become vital for companies that want to take care of their users’ eyes. Dark mode is a supplemental feature that displays mostly dark surfaces in the UI. Most major companies (such as YouTube, Twitter, and Netflix) have adopted dark mode in their mobile and web apps.




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Readability Algorithms Should Be Tools, Not Targets

The web is awash with words. They’re everywhere. On websites, in emails, advertisements, tweets, pop-ups, you name it. More people are publishing more copy than at any point in history. That means a lot of information, and a lot of competition. In recent years a slew of ‘readability’ programs have appeared to help us tidy up the things we write. (Grammarly, Readable, and Yoast are just a handful that come to mind.




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Smashing Podcast Episode 15 With Phil Smith: How Can I Build An App In 10 Days?

In this episode of the Smashing Podcast, we’re talking about building apps on a tight timeline. How can you quickly turn around a project to respond to an emerging situation like COVID-19? Drew McLellan talks to Phil Smith to find out. Show Notes CardMedic React Native React Native for Web Expo Apiary Phil’s company amillionmonkeys Phil’s personal blog and Twitter Weekly Update Getting Started With Nuxt Implementing Dark Mode In React Apps Using styled-components How To Succeed In Wireframe Design Mirage JS Deep Dive: Understanding Mirage JS Models And Associations (Part 1) Readability Algorithms Should Be Tools, Not Targets Transcript Drew McLellan: He is director of the full-stack web development studio amillionmonkeys, where he partners with business owners and creative agencies to build digital products that make an impact.




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How To Build A Vue Survey App Using Firebase Authentication And Database

In this tutorial, you’ll be building a Survey App, where we’ll learn to validate our users form data, implement Authentication in Vue, and be able to receive survey data using Vue and Firebase (a BaaS platform). As we build this app, we’ll be learning how to handle form validation for different kinds of data, including reaching out to the backend to check if an email is already taken, even before the user submits the form during sign up.




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Aputure announces new LS-60D daylight and LX-60X bicolour LED lights

Aputure’s been coming pretty thick and fast on the announcements lately, and now they’ve announced their new Light Storm 60D daylight and 60X bi-colour adjustable focusing LED lights. As the name suggests, these are 60 Watt LEDs, and everything is built inside the head, meaning there’s no external control unit to have to deal with. […]

The post Aputure announces new LS-60D daylight and LX-60X bicolour LED lights appeared first on DIY Photography.









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eagereyesTV: What is Data? Part 1, File Formats and Intent

We all use data all the time, but what exactly is data? How do different programs know what to do with our data? How is visualizing data different from other uses of data? And isn’t everything inside a computer data in the end? The latest episode of eagereyesTV looks at what data is and what […]




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eagereyesTV: What Is Data? Part 2, Are Images Data?

Visualization turns data into images, but are images themselves data? There are often claims that they are, but then you mostly see the images themselves without much additional data. In this video, I look at image browsers, a project classifying selfies along a number of criteria, and the additional information stored in HEIC that makes […]




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Corners Picks *** Sunday *** 17 September 2017

We have a new preview on https://www.007soccerpicks.com/sunday-matches/corners-picks-sunday-17-september-2017/

Corners Picks *** Sunday *** 17 September 2017

MATCH CORNERS PICKS To return: ??? USD Odds: 1.55 Stake: 100 USD   Starting in   Teams   Our Prediction Odds Chelsea - Arsenal Soccer: Premier League OVER 9.5 CORNERS 1.55




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Half Time Picks *** Sunday *** 17 September 2017

We have a new preview on https://www.007soccerpicks.com/sunday-matches/half-time-picks-sunday-17-september-2017/

Half Time Picks *** Sunday *** 17 September 2017

HALF TIME PICKS To return: ??? USD Odds: 7.43 Stake: 100 USD   Starting in   Teams   Half Time Our Pick Odds Alaves - Villarreal Soccer: Spain - LaLiga HALF TIME X 2.01 Zenit Petersburg - Ufa Soccer: Russia -…




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Goals Scored Picks *** Sunday *** 17 September 2017

We have a new preview on https://www.007soccerpicks.com/sunday-matches/goals-scored-picks-sunday-17-september-2017/

Goals Scored Picks *** Sunday *** 17 September 2017

MATCH GOALS PICKS To return: ??? USD Odds: 6.44 Stake: 100 USD   Starting in   Teams   Our Prediction Odds Amiens - Marseille Soccer: France - Ligue 1 UNDER 2.5 1.85 AC Milan - Udinese Soccer: Italy - Serie A…




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Fulltime Result Picks *** Sunday *** 17 September 2017

We have a new preview on https://www.007soccerpicks.com/sunday-matches/fulltime-result-picks-sunday-17-september-2017/

Fulltime Result Picks *** Sunday *** 17 September 2017

FULLTIME PICKS To return: ??? USD Odds: 3.88 Stake: 100 USD   Starting in   Teams   Our Prediction Odds Waregem - Mouscron Soccer: Belgium - Jupiler League 1 1.61 Sassuolo - Juventus Soccer: Italy - Serie…




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Double Chance Picks *** Sunday *** 17 September 2017

We have a new preview on https://www.007soccerpicks.com/sunday-matches/double-chance-picks-sunday-17-september-2017/

Double Chance Picks *** Sunday *** 17 September 2017

DOUBLE CHANCE PICKS To return: ??? USD Odds: 2.80 Stake: 100 USD   Starting in   Teams   Our Prediction Odds Las Palmas - Ath Bilbao Soccer: Spain - LaLiga X2 1.45 Chievo - Atalanta Soccer: Italy - Serie…




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Both teams to score Picks *** Sunday *** 17 September 2017

We have a new preview on https://www.007soccerpicks.com/sunday-matches/teams-score-picks-sunday-17-september-2017/

Both teams to score Picks *** Sunday *** 17 September 2017

BOTH TEAMS TO SCORE To return: ??? USD Odds: 5.36 Stake: 100 USD   Starting in   Teams   BTS Our Pick Odds Tosno - Spartak Moscow Soccer: Russia - Premier League Both to score NO 1.53 Chelsea - Arsenal Soccer:…



  • both teams to score picks
  • both teams to score tips
  • Both teams to score
  • Sunday Matches

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Double Chance Picks *** Monday *** 18 September 2017

We have a new preview on https://www.007soccerpicks.com/monday-matches/double-chance-picks-monday-18-september-2017/

Double Chance Picks *** Monday *** 18 September 2017

DOUBLE CHANCE PICKS To return: ??? USD Odds: 2.03 Stake: 100 USD   Starting in   Teams   Our Prediction Odds Espanyol - Celta Vigo Soccer: Spain - LaLiga 1X 1.29 AFC Eskilstuna - Sundsvall Soccer: Sweden -…




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Fulltime Result Picks *** Monday *** 18 September 2017

We have a new preview on https://www.007soccerpicks.com/monday-matches/fulltime-result-picks-monday-18-september-2017/

Fulltime Result Picks *** Monday *** 18 September 2017

FULLTIME PICKS To return: ??? USD Odds: 3.77 Stake: 100 USD   Starting in   Teams   Our Prediction Odds Plzen - Zlin Soccer: Czech Republic - 1. Liga 1 1.39 Odd - Aalesund Soccer: Norway -…




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Both teams to score Picks *** Monday *** 18 September 2017

We have a new preview on https://www.007soccerpicks.com/monday-matches/teams-score-picks-monday-18-september-2017/

Both teams to score Picks *** Monday *** 18 September 2017

BOTH TEAMS TO SCORE To return: ??? USD Odds: 5.26 Stake: 100 USD   Starting in   Teams   BTS Our Pick Odds Lokomotiv Moscow - Amkar Soccer: Russia - Premier League Both to score NO 1.50 Astra - FC…



  • both teams to score picks
  • both teams to score tips
  • Both teams to score
  • Monday Matches

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Corners Picks *** Monday *** 18 September 2017

We have a new preview on https://www.007soccerpicks.com/monday-matches/corners-picks-monday-18-september-2017/

Corners Picks *** Monday *** 18 September 2017

MATCH CORNERS PICKS To return: ??? USD Odds: 1.55 Stake: 100 USD   Starting in   Teams   Our Prediction Odds Espanyol - Celta Vigo Soccer: Spain - LaLiga OVER 9.5 CORNERS 1.55




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Asian Handicap Picks *** Monday *** 18 September 2017

We have a new preview on https://www.007soccerpicks.com/monday-matches/asian-handicap-picks-monday-18-september-2017/

Asian Handicap Picks *** Monday *** 18 September 2017

ASIAN HANDICAP PICKS To return: ??? USD Odds: 5.83 Stake: 100 USD   Starting in   Teams   Our Prediction goes for Odds Lokomotiv Moscow - Amkar Soccer: Russia - Premier League L. Moscow -0.5 1.55 Odd -…




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Goals Scored Picks *** Monday *** 18 September 2017

We have a new preview on https://www.007soccerpicks.com/monday-matches/goals-scored-picks-monday-18-september-2017/

Goals Scored Picks *** Monday *** 18 September 2017

MATCH GOALS PICKS To return: ??? USD Odds: 4.56 Stake: 100 USD   Starting in   Teams   Our Prediction Odds Astra - FC Viitorul Soccer: Romania - Liga 1 UNDER 2.5 1.60 Espanyol - Celta Vigo Soccer: Spain - LaLiga…




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Half Time Picks *** Monday *** 18 September 2017

We have a new preview on https://www.007soccerpicks.com/monday-matches/half-time-picks-monday-18-september-2017/

Half Time Picks *** Monday *** 18 September 2017

HALF TIME PICKS To return: ??? USD Odds: 8.39 Stake: 100 USD   Starting in   Teams   Half Time Our Pick Odds Espanyol - Celta Vigo Soccer: Spain - LaLiga HALF TIME X 2.07 Lokomotiv Moscow - Amkar Soccer: Russia…




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Goals Scored Picks *** Tuesday *** 19 September 2017

We have a new preview on https://www.007soccerpicks.com/tuesday-matches/goals-scored-picks-tuesday-19-september-2017/

Goals Scored Picks *** Tuesday *** 19 September 2017

MATCH GOALS PICKS To return: ??? USD Odds: 6.27 Stake: 100 USD   Starting in   Teams   Our Prediction Odds Burnley - Leeds Soccer: England - Carabao Cup OVER 2.5 2.00 Schalke - Bayern Munich Soccer: Germany -…




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Half Time Picks *** Tuesday *** 19 September 2017

We have a new preview on https://www.007soccerpicks.com/tuesday-matches/half-time-picks-tuesday-19-september-2017/

Half Time Picks *** Tuesday *** 19 September 2017

HALF TIME PICKS To return: ??? USD Odds: 6.93 Stake: 100 USD   Starting in   Teams   Half Time Our Pick Odds Crystal Palace - Huddersfield Soccer: England - Carabao Cup HALF TIME X 2.10 FC Augsburg - RB…




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Asian Handicap Picks *** Tuesday *** 19 September 2017

We have a new preview on https://www.007soccerpicks.com/tuesday-matches/asian-handicap-picks-tuesday-19-september-2017/

Asian Handicap Picks *** Tuesday *** 19 September 2017

ASIAN HANDICAP PICKS To return: ??? USD Odds: 4.08 Stake: 100 USD   Starting in   Teams   Our Prediction goes for Odds West Ham - Bolton Soccer: England - Carabao Cup West Ham -0.5 1.55 Bologna - Inter Soccer:…




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Double Chance Picks *** Tuesday *** 19 September 2017

We have a new preview on https://www.007soccerpicks.com/tuesday-matches/double-chance-picks-tuesday-19-september-2017/

Double Chance Picks *** Tuesday *** 19 September 2017

DOUBLE CHANCE PICKS To return: ??? USD Odds: 1.95 Stake: 100 USD   Starting in   Teams   Our Prediction Odds Bournemouth - Brighton Soccer: England - Carabao Cup 1X 1.20 Wolfsburg - SV Werder Bremen Soccer: Germany…




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Fulltime Result Picks *** Tuesday *** 19 September 2017

We have a new preview on https://www.007soccerpicks.com/tuesday-matches/fulltime-result-picks-tuesday-19-september-2017/

Fulltime Result Picks *** Tuesday *** 19 September 2017

FULLTIME PICKS To return: ??? USD Odds: 5.40 Stake: 100 USD   Starting in   Teams   Our Prediction Odds GAIS - Frej Soccer: Sweden - Superettan 1 1.82 Bologna - Inter Soccer: Italy - Serie…




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Corners Picks *** Tuesday *** 19 September 2017

We have a new preview on https://www.007soccerpicks.com/tuesday-matches/corners-picks-tuesday-19-september-2017/

Corners Picks *** Tuesday *** 19 September 2017

MATCH CORNERS PICKS To return: ??? USD Odds: 1.55 Stake: 100 USD   Starting in   Teams   Our Prediction Odds Valencia - Malaga Soccer: Spain - LaLiga OVER 9.5 CORNERS 1.55




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Both teams to score Picks *** Tuesday *** 19 September 2017

We have a new preview on https://www.007soccerpicks.com/tuesday-matches/teams-score-picks-tuesday-19-september-2017/

Both teams to score Picks *** Tuesday *** 19 September 2017

BOTH TEAMS TO SCORE To return: ??? USD Odds: 4.75 Stake: 100 USD   Starting in   Teams   BTS Our Pick Odds Schalke - Bayern Munich Soccer: Germany - Bundesliga Both to score YES 1.60 Leicester -…



  • both teams to score picks
  • both teams to score tips
  • Both teams to score
  • Tuesday Matches

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Regular Tur'an numbers of complete bipartite graphs. (arXiv:2005.02907v2 [math.CO] UPDATED)

Let $mathrm{rex}(n, F)$ denote the maximum number of edges in an $n$-vertex graph that is regular and does not contain $F$ as a subgraph. We give lower bounds on $mathrm{rex}(n, F)$, that are best possible up to a constant factor, when $F$ is one of $C_4$, $K_{2,t}$, $K_{3,3}$ or $K_{s,t}$ when $t>s!$.




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A Marstrand type slicing theorem for subsets of $mathbb{Z}^2 subset mathbb{R}^2$ with the mass dimension. (arXiv:2005.02813v2 [math.CO] UPDATED)

We prove a Marstrand type slicing theorem for the subsets of the integer square lattice. This problem is the dual of the corresponding projection theorem, which was considered by Glasscock, and Lima and Moreira, with the mass and counting dimensions applied to subsets of $mathbb{Z}^{d}$. In this paper, more generally we deal with a subset of the plane that is $1$ separated, and the result for subsets of the integer lattice follow as a special case. We show that the natural slicing question in this setting is true with the mass dimension.




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On the affine Hecke category. (arXiv:2005.02647v2 [math.RT] UPDATED)

We give a complete (and surprisingly simple) description of the affine Hecke category for $ ilde{A}_2$ in characteristic zero. More precisely, we calculate the Kazhdan-Lusztig polynomials, give a recursive formula for the projectors defining indecomposable objects and, for each coefficient of a Kazhdan-Lusztig polynomial, we produce a set of morphisms with such a cardinality.




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On the finiteness of ample models. (arXiv:2005.02613v2 [math.AG] UPDATED)

In this paper, we generalize the finiteness of models theorem in [BCHM06] to Kawamata log terminal pairs with fixed Kodaira dimension. As a consequence, we prove that a Kawamata log terminal pair with $mathbb{R}-$boundary has a canonical model, and can be approximated by log pairs with $mathbb{Q}-$boundary and the same canonical model.




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Arthur packets for $G_2$ and perverse sheaves on cubics. (arXiv:2005.02438v2 [math.RT] UPDATED)

This paper begins the project of defining Arthur packets of all unipotent representations for the $p$-adic exceptional group $G_2$. Here we treat the most interesting case by defining and computing Arthur packets with component group $S_3$. We also show that the distributions attached to these packets are stable, subject to a hypothesis. This is done using a self-contained microlocal analysis of simple equivariant perverse sheaves on the moduli space of homogeneous cubics in two variables. In forthcoming work we will treat the remaining unipotent representations and their endoscopic classification and strengthen our result on stability.




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Solutions for nonlinear Fokker-Planck equations with measures as initial data and McKean-Vlasov equations. (arXiv:2005.02311v2 [math.AP] UPDATED)

One proves the existence and uniqueness of a generalized (mild) solution for the nonlinear Fokker--Planck equation (FPE) egin{align*} &u_t-Delta (eta(u))+{mathrm{ div}}(D(x)b(u)u)=0, quad tgeq0, xinmathbb{R}^d, d e2, \ &u(0,cdot)=u_0,mbox{in }mathbb{R}^d, end{align*} where $u_0in L^1(mathbb{R}^d)$, $etain C^2(mathbb{R})$ is a nondecreasing function, $bin C^1$, bounded, $bgeq 0$, $Din(L^2cap L^infty)(mathbb{R}^d;mathbb{R}^d)$ with ${ m div}, Din L^infty(mathbb{R}^d)$, and ${ m div},Dgeq0$, $eta$ strictly increasing, if $b$ is not constant. Moreover, $t o u(t,u_0)$ is a semigroup of contractions in $L^1(mathbb{R}^d)$, which leaves invariant the set of probability density functions in $mathbb{R}^d$. If ${ m div},Dgeq0$, $eta'(r)geq a|r|^{alpha-1}$, and $|eta(r)|leq C r^alpha$, $alphageq1,$ $alpha>frac{d-2}d$, $dgeq3$, then $|u(t)|_{L^infty}le Ct^{-frac d{d+(alpha-1)d}} |u_0|^{frac2{2+(m-1)d}},$ $t>0$, and the existence extends to initial data $u_0$ in the space $mathcal{M}_b$ of bounded measures in $mathbb{R}^d$. The solution map $mumapsto S(t)mu$, $tgeq0$, is a Lipschitz contractions on $mathcal{M}_b$ and weakly continuous in $tin[0,infty)$. As a consequence for arbitrary initial laws, we obtain weak solutions to a class of McKean-Vlasov SDEs with coefficients which have singular dependence on the time marginal laws.




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Almost invariant subspaces of the shift operator on vector-valued Hardy spaces. (arXiv:2005.02243v2 [math.FA] UPDATED)

In this article, we characterize nearly invariant subspaces of finite defect for the backward shift operator acting on the vector-valued Hardy space which is a vectorial generalization of a result of Chalendar-Gallardo-Partington (C-G-P). Using this characterization of nearly invariant subspace under the backward shift we completely describe the almost invariant subspaces for the shift and its adjoint acting on the vector valued Hardy space.




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Cameron-Liebler sets in Hamming graphs. (arXiv:2005.02227v2 [math.CO] UPDATED)

In this paper, we discuss Cameron-Liebler sets in Hamming graphs, obtain several equivalent definitions and present all classification results.




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Some Quot schemes in tilted hearts and moduli spaces of stable pairs. (arXiv:2005.02202v2 [math.AG] UPDATED)

For a smooth projective variety $X$, we study analogs of Quot functors in hearts of non-standard $t$-structures of $D^b(mathrm{Coh}(X))$. The technical framework is that of families of $t$-structures, as studied in arXiv:1902.08184. We provide several examples and suggest possible directions of further investigation, as we reinterpret moduli spaces of stable pairs, in the sense of Thaddeus (arXiv:alg-geom/9210007) and Huybrechts-Lehn (arXiv:alg-geom/9211001), as instances of Quot schemes.




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Nonlinear singular problems with indefinite potential term. (arXiv:2005.01789v3 [math.AP] UPDATED)

We consider a nonlinear Dirichlet problem driven by a nonhomogeneous differential operator plus an indefinite potential. In the reaction we have the competing effects of a singular term and of concave and convex nonlinearities. In this paper the concave term is parametric. We prove a bifurcation-type theorem describing the changes in the set of positive solutions as the positive parameter $lambda$ varies. This work continues our research published in arXiv:2004.12583, where $xi equiv 0 $ and in the reaction the parametric term is the singular one.




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Entropy and Emergence of Topological Dynamical Systems. (arXiv:2005.01548v2 [math.DS] UPDATED)

A topological dynamical system $(X,f)$ induces two natural systems, one is on the probability measure spaces and other one is on the hyperspace.

We introduce a concept for these two spaces, which is called entropy order, and prove that it coincides with topological entropy of $(X,f)$. We also consider the entropy order of an invariant measure and a variational principle is established.




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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$, $arglambda > pi/8$.