re An Introduction To React With Ionic By feedproxy.google.com Published On :: Mon, 04 May 2020 10:30:00 +0000 The Ionic Framework is an open-source UI toolkit for building fast, high-quality applications using web technologies with integrations for popular frameworks like Angular and React. Ionic enables cross-platform development using either Cordova or Capacitor, with the latter featuring support for desktop application development using Electron. In this article, we will explore Ionic with the React integration by building an app that displays comics using the Marvel Comics API and allows users to create a collection of their favorites. Full Article
re Meet SmashingConf Live: Our New Interactive Online Conference By feedproxy.google.com Published On :: Tue, 05 May 2020 12:50:00 +0000 In these strange times when everything is connected, it’s too easy to feel lonely and detached. Yes, everybody is just one message away, but there is always something in the way — deadlines to meet, Slack messages to reply, or urgent PRs to review. Connections need time and space to grow, just like learning, and conferences are a great way to find that time and that space. In fact, with SmashingConfs, we’ve always been trying to create such friendly and inclusive spaces. Full Article
re Reducing Design Risk By feedproxy.google.com Published On :: Thu, 07 May 2020 10:30:00 +0000 Lean, agile, do more with less. Again, and again, design culture urges us to move quickly and trim research and design operations to the point where design becomes a mere thread in the larger corporate spool. Author and designer Nikki Anderson explains the consequences of this pressure to conduct research at lightning speed: “When we’re asked to synthesize at the speed of light, user research becomes a way for teams to take a shortcut — to invent assumptions based on quickly made correlations, opinions, and quotes. Full Article
re How To Build A Vue Survey App Using Firebase Authentication And Database By feedproxy.google.com Published On :: Fri, 08 May 2020 11:00:00 +0000 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. Full Article
re The Canon EOS R5 release gets closer as it passes Bluetooth certification By feedproxy.google.com Published On :: Thu, 07 May 2020 17:25:13 +0000 We’re a big step closer to a Canon EOS R5 release announcement now, as Nokishita Tweets that it has passed its Bluetooth certification. The belief is that the EOS R5 was originally scheduled to ship in July, and Canon Rumors reports that they’ve been told that’ll still happen. With lockdowns still in effect in much […] The post The Canon EOS R5 release gets closer as it passes Bluetooth certification appeared first on DIY Photography. Full Article DIY Bluetooth Canon EOS R5 Certification EOS R5
re Aputure announces new LS-60D daylight and LX-60X bicolour LED lights By feedproxy.google.com Published On :: Thu, 07 May 2020 19:57:32 +0000 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. Full Article news Aputure Gear Announcement Light Storm LS 60D LS 60X
re Photography Life makes all their paid premium courses free By feedproxy.google.com Published On :: Fri, 08 May 2020 09:10:59 +0000 Photography Life has just contributed to the selection of online courses that you can take for free. While their premim courses are normally paid $150 per course, you can now access them free of charge. The founders have released them on YouTube, available for everyone to watch. The Photography Life team came to the decision […] The post Photography Life makes all their paid premium courses free appeared first on DIY Photography. Full Article news Course free class online courses Photography Life
re #COVIDwear: a hilarious photo series showing quarantine fashion of remote workers By feedproxy.google.com Published On :: Fri, 08 May 2020 12:04:34 +0000 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. Full Article Inspiration Alex Workman Chelsea Workman Coronavirus COVID-19 funny portraits quarantine self-isolation The Workmans
re Watch YouTube’s most informed sock puppet teach you how to shoot with manual exposure By feedproxy.google.com Published On :: Fri, 08 May 2020 17:29:41 +0000 For those who’ve never seen TheCrafsMan SteadyCraftin on YouTube, you’re in for a treat – even if you already understand everything contained within this 25-minute video. For those who have, you know exactly what to expect. I’ve been following this rather unconventional channel for a while now. It covers a lot of handy DIY and […] The post Watch YouTube’s most informed sock puppet teach you how to shoot with manual exposure appeared first on DIY Photography. Full Article Tutorials exposure Exposure Triangle photography basics SteadyCraftin TheCraftsMan
re Quand la moitié du centre-ville disparaît dans la brume By feedproxy.google.com Published On :: Wed, 04 Mar 2020 04:05:48 +0000 Rimouski, Bas-St-Laurent, Québec Full Article Hiver Paysage Rimouski brume hiver rimouski
re Après les nuages, on retrouve toujours la lumière By feedproxy.google.com Published On :: Tue, 07 Apr 2020 22:39:57 +0000 St-Donat, Bas-St-Laurent, Québec Full Article aérienne Paysage St-Donat campagne lumière rural
re Un lac éphémère au village By feedproxy.google.com Published On :: Tue, 14 Apr 2020 14:08:44 +0000 St-Donat, Bas-St-Laurent, Québec Full Article aérienne Paysage Printemps St-Donat fonte printemps village
re Surprise… un peu de neige dans les arbres By feedproxy.google.com Published On :: Mon, 20 Apr 2020 23:18:32 +0000 St-Donat, Bas-St-Laurent, Québec Full Article aérienne Paysage Printemps St-Donat mont printemps route
re À l’ombre de la montagne By feedproxy.google.com Published On :: Fri, 01 May 2020 22:40:44 +0000 St-Donat, Bas-St-Laurent, Québec Full Article aérienne Paysage Printemps St-Donat montagne rural village
re Légère inondation By feedproxy.google.com Published On :: Sun, 03 May 2020 00:13:42 +0000 St-Donat, Bas-St-Laurent, Québec Full Article aérienne Paysage Printemps St-Donat eau riviere village
re Légère inondation II By feedproxy.google.com Published On :: Mon, 04 May 2020 22:21:29 +0000 St-Donat, Bas-St-Laurent, Québec Full Article aérienne Paysage Printemps St-Donat printemps riviere village
re eagereyesTV Episode 2: Unit Charts, Dot Plots, ISOTYPE, and What Makes Them Special By eagereyes.org Published On :: Wed, 09 Oct 2019 07:17:21 +0000 Charts usually show values as visual properties, like the length in a bar chart, the location in a scatterplot, the area in a bubble chart, etc. Unit charts show values as multiples instead. One famous example of these charts is called ISOTYPE, and you may have seen them in information graphics as well. They’re an […] Full Article Blog 2019 eagereyesTV
re Paper: Evidence for Area as the Primary Visual Cue in Pie Charts By eagereyes.org Published On :: Thu, 17 Oct 2019 15:52:12 +0000 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 […] Full Article Blog 2019 paper pie charts
re eagereyesTV Episode 3: 3D Pie Charts For Science! By eagereyes.org Published On :: Mon, 21 Oct 2019 06:00:03 +0000 How do we read pie charts? This seems like a straightforward question to answer, but it turns out that most of what you’ve probably heard is wrong. We don’t actually know whether we use angle, area, or arc length. In a short paper at the VIS conference this week I’m presenting a study I ran […] Full Article Blog 2019 eagereyesTV pie charts
re eagereyesTV: What is Data? Part 1, File Formats and Intent By eagereyes.org Published On :: Wed, 06 Nov 2019 16:07:40 +0000 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 […] Full Article Blog 2019 data eagereyesTV
re Review: Alberto Cairo, How Charts Lie By eagereyes.org Published On :: Tue, 12 Nov 2019 05:07:05 +0000 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 […] Full Article Blog 2019 Book Reviews
re ISOTYPE Book: Young, Prager, There’s Work for All By eagereyes.org Published On :: Mon, 02 Dec 2019 01:54:26 +0000 This book from 1945 contains a very interesting mix of different charts made by the ISOTYPE Institute, some classic and some quite unusual. As a book about labor and unemployment, it also makes extensive use of Gerd Arntz’s famous unemployed man icon. Michael Young and Theodor Prager’s There’s Work for All is part of a […] Full Article ISOTYPE Books isotype
re eagereyesTV: What Is Data? Part 2, Are Images Data? By eagereyes.org Published On :: Mon, 16 Dec 2019 13:01:25 +0000 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 […] Full Article eagereyesTV
re In Praise of the Diagonal Reference Line By eagereyes.org Published On :: Tue, 24 Mar 2020 05:51:19 +0000 Annotations are what set visual communication and journalism apart from just visualization. They often consist of text, but some of the most useful annotations are graphical elements, and many of them are very simple. One type I have a particular fondness for is the diagonal reference line, which has been used to provide powerful context […] Full Article Blog 2020 COVID-19 Visual Communication
re Goals Scored Picks *** Sunday *** 17 September 2017 By dataviz.tumblr.com Published On :: Sat, 16 Sep 2017 19:14:54 -0400 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… Full Article over 2.5 goals tips under 2.5 goals tips MATCH GOALS Sunday Matches
re Fulltime Result Picks *** Sunday *** 17 September 2017 By dataviz.tumblr.com Published On :: Sat, 16 Sep 2017 19:44:09 -0400 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… Full Article fulltime predictions fulltime tips and picks FULLTIME RESULT Sunday Matches
re Both teams to score Picks *** Sunday *** 17 September 2017 By dataviz.tumblr.com Published On :: Sat, 16 Sep 2017 19:52:01 -0400 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:… Full Article both teams to score picks both teams to score tips Both teams to score Sunday Matches
re Fulltime Result Picks *** Monday *** 18 September 2017 By dataviz.tumblr.com Published On :: Sun, 17 Sep 2017 19:02:01 -0400 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 -… Full Article fulltime predictions fulltime tips and picks FULLTIME RESULT Monday Matches
re Both teams to score Picks *** Monday *** 18 September 2017 By dataviz.tumblr.com Published On :: Sun, 17 Sep 2017 19:02:38 -0400 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… Full Article both teams to score picks both teams to score tips Both teams to score Monday Matches
re Goals Scored Picks *** Monday *** 18 September 2017 By dataviz.tumblr.com Published On :: Sun, 17 Sep 2017 19:06:27 -0400 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… Full Article over 2.5 goals tips under 2.5 goals tips MATCH GOALS Monday Matches
re Goals Scored Picks *** Tuesday *** 19 September 2017 By dataviz.tumblr.com Published On :: Mon, 18 Sep 2017 16:05:01 -0400 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 -… Full Article over 2.5 goals tips under 2.5 goals predictions MATCH GOALS Tuesday Matches
re Fulltime Result Picks *** Tuesday *** 19 September 2017 By dataviz.tumblr.com Published On :: Mon, 18 Sep 2017 16:05:34 -0400 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… Full Article fulltime picks fulltime predictions and tips FULLTIME RESULT Tuesday Matches
re Both teams to score Picks *** Tuesday *** 19 September 2017 By dataviz.tumblr.com Published On :: Mon, 18 Sep 2017 16:07:46 -0400 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 -… Full Article both teams to score picks both teams to score tips Both teams to score Tuesday Matches
re The entropy of holomorphic correspondences: exact computations and rational semigroups. (arXiv:2004.13691v1 [math.DS] CROSS LISTED) By arxiv.org Published On :: We study two notions of topological entropy of correspondences introduced by Friedland and Dinh-Sibony. Upper bounds are known for both. We identify a class of holomorphic correspondences whose entropy in the sense of Dinh-Sibony equals the known upper bound. This provides an exact computation of the entropy for rational semigroups. We also explore a connection between these two notions of entropy. Full Article
re Regular Tur'an numbers of complete bipartite graphs. (arXiv:2005.02907v2 [math.CO] UPDATED) By arxiv.org Published On :: 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 $t>s!$. Full Article
re 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) By arxiv.org Published On :: 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. Full Article
re Solutions for nonlinear Fokker-Planck equations with measures as initial data and McKean-Vlasov equations. (arXiv:2005.02311v2 [math.AP] UPDATED) By arxiv.org Published On :: 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. Full Article
re Resonances as Viscosity Limits for Exponentially Decaying Potentials. (arXiv:2005.01257v2 [math.SP] UPDATED) By arxiv.org Published On :: 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$, $arglambda > pi/8$. Full Article
re Approximate Two-Sphere One-Cylinder Inequality in Parabolic Periodic Homogenization. (arXiv:2005.00989v2 [math.AP] UPDATED) By arxiv.org Published On :: In this paper, for a family of second-order parabolic equation with rapidly oscillating and time-dependent periodic coefficients, we are interested in an approximate two-sphere one-cylinder inequality for these solutions in parabolic periodic homogenization, which implies an approximate quantitative propagation of smallness. The proof relies on the asymptotic behavior of fundamental solutions and the Lagrange interpolation technique. Full Article
re Complete reducibility: Variations on a theme of Serre. (arXiv:2004.14604v2 [math.GR] UPDATED) By arxiv.org Published On :: In this note, we unify and extend various concepts in the area of $G$-complete reducibility, where $G$ is a reductive algebraic group. By results of Serre and Bate--Martin--R"{o}hrle, the usual notion of $G$-complete reducibility can be re-framed as a property of an action of a group on the spherical building of the identity component of $G$. We show that other variations of this notion, such as relative complete reducibility and $sigma$-complete reducibility, can also be viewed as special cases of this building-theoretic definition, and hence a number of results from these areas are special cases of more general properties. Full Article
re Differentiating through Log-Log Convex Programs. (arXiv:2004.12553v2 [math.OC] UPDATED) By arxiv.org Published On :: We show how to efficiently compute the derivative (when it exists) of the solution map of log-log convex programs (LLCPs). These are nonconvex, nonsmooth optimization problems with positive variables that become convex when the variables, objective functions, and constraint functions are replaced with their logs. We focus specifically on LLCPs generated by disciplined geometric programming, a grammar consisting of a set of atomic functions with known log-log curvature and a composition rule for combining them. We represent a parametrized LLCP as the composition of a smooth transformation of parameters, a convex optimization problem, and an exponential transformation of the convex optimization problem's solution. The derivative of this composition can be computed efficiently, using recently developed methods for differentiating through convex optimization problems. We implement our method in CVXPY, a Python-embedded modeling language and rewriting system for convex optimization. In just a few lines of code, a user can specify a parametrized LLCP, solve it, and evaluate the derivative or its adjoint at a vector. This makes it possible to conduct sensitivity analyses of solutions, given perturbations to the parameters, and to compute the gradient of a function of the solution with respect to the parameters. We use the adjoint of the derivative to implement differentiable log-log convex optimization layers in PyTorch and TensorFlow. Finally, we present applications to designing queuing systems and fitting structured prediction models. Full Article
re Finite dimensional simple modules of $(q, mathbf{Q})$-current algebras. (arXiv:2004.11069v2 [math.RT] UPDATED) By arxiv.org Published On :: The $(q, mathbf{Q})$-current algebra associated with the general linear Lie algebra was introduced by the second author in the study of representation theory of cyclotomic $q$-Schur algebras. In this paper, we study the $(q, mathbf{Q})$-current algebra $U_q(mathfrak{sl}_n^{langle mathbf{Q} angle}[x])$ associated with the special linear Lie algebra $mathfrak{sl}_n$. In particular, we classify finite dimensional simple $U_q(mathfrak{sl}_n^{langle mathbf{Q} angle}[x])$-modules. Full Article
re Equivalence of classical and quantum completeness for real principal type operators on the circle. (arXiv:2004.07547v3 [math.AP] UPDATED) By arxiv.org Published On :: In this article, we prove that the completeness of the Hamilton flow and essential self-dajointness are equivalent for real principal type operators on the circle. Moreover, we study spectral properties of these operators. Full Article
re $L^p$-regularity of the Bergman projection on quotient domains. (arXiv:2004.02598v2 [math.CV] UPDATED) By arxiv.org Published On :: We relate the $L^p$-mapping properties of the Bergman projections on two domains in $mathbb{C}^n$, one of which is the quotient of the other under the action of a finite group of biholomorphic automorphisms. We use this relation to deduce the sharp ranges of $L^p$-boundedness of the Bergman projection on certain $n$-dimensional model domains generalizing the Hartogs triangle. Full Article
re Set-Theoretical Problems in Asymptology. (arXiv:2004.01979v3 [math.GN] UPDATED) By arxiv.org Published On :: In this paper we collect some open set-theoretic problems that appear in the large-scale topology (called also Asymptology). In particular we ask problems about critical cardinalities of some special (large, indiscrete, inseparated) coarse structures on $omega$, about the interplay between properties of a coarse space and its Higson corona, about some special ultrafilters ($T$-points and cellular $T$-points) related to finitary coarse structures on $omega$, about partitions of coarse spaces into thin pieces, and also about coarse groups having some extremal properties. Full Article
re Set theoretic Yang-Baxter & reflection equations and quantum group symmetries. (arXiv:2003.08317v3 [math-ph] UPDATED) By arxiv.org Published On :: Connections between set theoretic Yang-Baxter and reflection equations and quantum integrable systems are investigated. We show that set theoretic $R$-matrices are expressed as twists of known solutions. We then focus on reflection and twisted algebras and we derive the associated defining algebra relations for $R$-matrices being Baxterized solutions of the $A$-type Hecke algebra ${cal H}_N(q=1)$. We show in the case of the reflection algebra that there exists a "boundary" finite sub-algebra for some special choice of "boundary" elements of the $B$-type Hecke algebra ${cal B}_N(q=1, Q)$. We also show the key proposition that the associated double row transfer matrix is essentially expressed in terms of the elements of the $B$-type Hecke algebra. This is one of the fundamental results of this investigation together with the proof of the duality between the boundary finite subalgebra and the $B$-type Hecke algebra. These are universal statements that largely generalize previous relevant findings, and also allow the investigation of the symmetries of the double row transfer matrix. Full Article
re Three-point Functions in $mathcal{N}=4$ SYM at Finite $N_c$ and Background Independence. (arXiv:2002.07216v2 [hep-th] UPDATED) By arxiv.org Published On :: We compute non-extremal three-point functions of scalar operators in $mathcal{N}=4$ super Yang-Mills at tree-level in $g_{YM}$ and at finite $N_c$, using the operator basis of the restricted Schur characters. We make use of the diagrammatic methods called quiver calculus to simplify the three-point functions. The results involve an invariant product of the generalized Racah-Wigner tensors ($6j$ symbols). Assuming that the invariant product is written by the Littlewood-Richardson coefficients, we show that the non-extremal three-point functions satisfy the large $N_c$ background independence; correspondence between the string excitations on $AdS_5 imes S^5$ and those in the LLM geometry. Full Article
re Stationary Gaussian Free Fields Coupled with Stochastic Log-Gases via Multiple SLEs. (arXiv:2001.03079v3 [math.PR] UPDATED) By arxiv.org Published On :: 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. Full Article
re Quasistatic evolution for dislocation-free finite plasticity. (arXiv:1912.10118v2 [math.AP] UPDATED) By arxiv.org Published On :: We investigate quasistatic evolution in finite plasticity under the assumption that the plastic strain is compatible. This assumption is well-suited to describe the special case of dislocation-free plasticity and entails that the plastic strain is the gradient of a plastic deformation map. The total deformation can be then seen as the composition of a plastic and an elastic deformation. This opens the way to an existence theory for the quasistatic evolution problem featuring both Lagrangian and Eulerian variables. A remarkable trait of the result is that it does not require second-order gradients. Full Article
re Regularized vortex approximation for 2D Euler equations with transport noise. (arXiv:1912.07233v2 [math.PR] UPDATED) By arxiv.org Published On :: We study a mean field approximation for the 2D Euler vorticity equation driven by a transport noise. We prove that the Euler equations can be approximated by interacting point vortices driven by a regularized Biot-Savart kernel and the same common noise. The approximation happens by sending the number of particles $N$ to infinity and the regularization $epsilon$ in the Biot-Savart kernel to $0$, as a suitable function of $N$. Full Article