1-3期

最新文章

• The effect of free boundary conditions on the Ising model in high dimensions AI翻译
  作者：Camia, Federico; Jiang, Jianping; Newman, Charles M.
  作者单位：New York University; New York University Abu Dhabi; Vrije Universiteit Amsterdam; Yanqi Lake Beijing Institute of Mathematical Sciences & Applications; New York University; New York University; NYU Shanghai
  摘要：We study the critical Ising model with free boundary conditions on finite domains in Z(d) with d >= 4. Under the assumption, so far only proved completely for high d, that the critical infinite volume two-point function is of order vertical bar x- y vertical bar(-(d-2)) for large vertical bar x-y vertical bar, we prove the same is valid on large finite cubes with free boundary conditions, as long as x, y are not too close to the boundary. This confirms a numerical prediction in the physics lit...
• Harry Kesten (1931-2019) AI翻译
  作者：Duminil-Copin, Hugo; Grimmett, Geoffrey R.
• Publications of Harry Kesten AI翻译
  作者：Kesten, Harry
• N-sided radial Schramm-Loewner evolution AI翻译
  作者：Healey, Vivian Olsiewski; Lawler, Gregory F.
  作者单位：University of Chicago; Texas State University System; Texas State University San Marcos
  摘要：We use the interpretation of the Schramm-Loewner evolution as a limit of path measures tilted by a loop term in order to motivate the definition of n-radial SLE going to a particular point. In order to justify the definition we prove that the measure obtained by an appropriately normalized loop term on n-tuples of paths has a limit. The limit measure can be described as n paths moving by the Loewner equation with a driving term of Dyson Brownian motion. While the limit process has been conside...
• Near-critical 2D percolation with heavy-tailed impurities, forest fires and frozen percolation AI翻译
  作者：van den Berg, Jacob; Nolin, Pierre
  作者单位：Centrum Wiskunde & Informatica (CWI); Vrije Universiteit Amsterdam; City University of Hong Kong
  摘要：We introduce a new percolation model on planar lattices. First, impurities (holes) are removed independently from the lattice. On the remaining part, we then consider site percolation with some parameter p close to the critical value p(c). The mentioned impurities are not only microscopic, but allowed to be mesoscopic (heavy-tailed, in some sense). For technical reasons (the proofs of our results use quite precise bounds on critical exponents in Bernoulli percolation), our study focuses on the...
• Motion by mean curvature in interacting particle systems AI翻译
  作者：Huang, Xiangying; Durrett, Rick
  作者单位：University of British Columbia; Duke University
  摘要：There are a number of situations in which rescaled interacting particle systems have been shown to converge to a reaction diffusion equation (RDE) with a bistable reaction term, see e.g., Cox et al. (Asterisque 349:1-127, 2013), Durrett (Ann Appl Prob 19:477-496, 2009, Electron J Probab 19:1-64, 2014), Durrett and Neuhauser (Ann Probab 22:289-333, 1994). These RDEs have traveling wave solutions. When the speed of the wave is nonzero, block constructions have been used to prove the existence or...
• How linear reinforcement affects Donsker's theorem for empirical processes (vol 178, pg 1173, 2020) AI翻译
  作者：Bertoin, Jean
  作者单位：University of Zurich
• Harry Kesten's work in probability theory AI翻译
  作者：Grimmett, Geoffrey R.
  作者单位：University of Cambridge; University of Melbourne; University of Bristol
  摘要：We survey the published work of Harry Kesten in probability theory, with emphasis on his contributions to random walks, branching processes, percolation, and related topics.
• Anchored expansion of Delaunay complexes in real hyperbolic space and stationary point processes AI翻译
  作者：Benjamini, Itai; Krauz, Yoav; Paquette, Elliot
  作者单位：Weizmann Institute of Science; Tel Aviv University; McGill University
  摘要：We give sufficient conditions for a discrete set of points in any dimensional real hyperbolic space to have positive anchored expansion. The first condition is an anchored bounded density property, ensuring not too many points can accumulate in large regions. The second is an anchored bounded vacancy condition, effectively ensuring there is not too much space left vacant by the points over large regions. These properties give as an easy corollary that stationary Poisson-Delaunay graphs have po...
• Isoperimetric profiles and random walks on some groups defined by piecewise actions AI翻译
  作者：Saloff-Coste, Laurent; Zheng, Tianyi
  作者单位：Cornell University; University of California System; University of California San Diego
  摘要：We study the isoperimetric and spectral profiles of certain families of finitely generated groups defined via actions on labelled Schreier graphs and simple gluing of such. In one of our simplest constructions-the pocket-extension of a group G-this leads to the study of certain finitely generated subgroups of the full permutation group S(G boolean OR{*}). Some sharp estimates are obtained while many challenging questions remain.