Volodymyr Riabov
Volodymyr Riabov
We establish universal Gaussian fluctuations for the mesoscopic linear eigenvalue statistics in the vicinity of the cusp-like singularities of the limiting spectral density for Wigner-type random matrices. Prior to this work, the linear eig...
Phase transition for random walks on graphs with added weighted random matching [0.03%]
加权随机匹配图上随机游走的相变
Zsuzsanna Baran,Jonathan Hermon,Anđela Šarković et al.
Zsuzsanna Baran et al.
For a finite graph G = ( V , E ) let G ∗ be obtained by considering a random perfect matching of V and adding the corresponding edges to G with weight ε , while assigning weight 1 to the original edges of G. We consider whether...
Simon Gabriel,Tommaso Rosati,Nikos Zygouras
Simon Gabriel
This work considers the two-dimensional Allen-Cahn equation ∂ t u = 1 2 Δ u + m u - u 3 , u ( 0 , x ) = η ( x ) , ∀ ( t , x ) ∈ [ 0 , ∞ ) × R 2 , where the initial condition η is a tw...
Non-commutative [Formula: see text] spaces and Grassmann stochastic analysis [0.03%]
非交换[公式]空间和草曼诺维奇分析
Francesco De Vecchi,Luca Fresta,Maria Gordina et al.
Francesco De Vecchi et al.
We introduce a theory of non-commutative L p spaces suitable for non-commutative probability in a non-tracial setting and use it to develop stochastic analysis of Grassmann-valued processes, including martingale inequalities, stochastic in...
Diophantine conditions in the law of the iterated logarithm for lacunary systems [0.03%]
数论条件在亏格系统中的迭代对数定律中的应用
Christoph Aistleitner,Lorenz Frühwirth,Joscha Prochno
Christoph Aistleitner
It is a classical observation that lacunary function systems exhibit many properties which are typical for systems of independent random variables. However, it had already been observed by Erdős and Fortet in the 1950s that probability the...
Alice Callegaro,Matthew I Roberts
Alice Callegaro
We define a fragmentation process which involves rectangles breaking up into progressively smaller pieces at rates that depend on their shape. Long, thin rectangles are more likely to break quickly, whereas squares break more slowly. Each r...
From ABC to KPZ [0.03%]
从ABC到KPZ
G Cannizzaro,P Gonçalves,R Misturini et al.
G Cannizzaro et al.
We study the equilibrium fluctuations of an interacting particle system evolving on the discrete ring with N ∈ N points, denoted by T N , and with three species of particles that we name A, B and C, but such that at each site there ...
François Delarue,William R P Hammersley
François Delarue
The purpose of this work is to provide an explicit construction of a strong Feller semigroup on the space of probability measures over the real line that additionally maps bounded measurable functions into Lipschitz continuous functions, wi...
The dynamical Ising-Kac model in 3 D converges to [Formula: see text] [0.03%]
三维动力Ising-Kac模型收敛到[公式:参见原文]
P Grazieschi,K Matetski,H Weber
P Grazieschi
We consider the Glauber dynamics of a ferromagnetic Ising-Kac model on a three-dimensional periodic lattice of size ( 2 N + 1 ) 3 , in which the flipping rate of each spin depends on an average field in a large neighborhood of radius 	...
Superconcentration for minimal surfaces in first passage percolation and disordered Ising ferromagnets [0.03%]
第一通量渗流和带 disorder 的伊辛铁磁体中极小曲面的超级集中性
Barbara Dembin,Christophe Garban
Barbara Dembin
We consider the standard first passage percolation model on Z d with a distribution G taking two values 0