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
Sharp metastability transition for two-dimensional bootstrap percolation with symmetric isotropic threshold rules [0.03%]
二维对称各向同性阈值规则的自展渗流的尖锐的元稳定性相变
Hugo Duminil-Copin,Ivailo Hartarsky
Hugo Duminil-Copin
We study two-dimensional critical bootstrap percolation models. We establish that a class of these models including all isotropic threshold rules with a convex symmetric neighbourhood, undergoes a sharp metastability transition. This extend...
The Brownian transport map [0.03%]
布朗运动传输映射
Dan Mikulincer,Yair Shenfeld
Dan Mikulincer
Contraction properties of transport maps between probability measures play an important role in the theory of functional inequalities. The actual construction of such maps, however, is a non-trivial task and, so far, relies mostly on the th...
P Gonçalves,M Jara,R Marinho et al.
P Gonçalves et al.
We study the scaling properties of the non-equilibrium stationary states (NESS) of a reaction-diffusion model. Under a suitable smallness condition, we show that the density of particles satisfies a law of large numbers with respect to the ...
Global well-posedness of the 2D nonlinear Schrödinger equation with multiplicative spatial white noise on the full space [0.03%]
带有乘性空间白噪声的二维非线性薛定谔方程在整个空间上的整体适定性问题
Arnaud Debussche,Ruoyuan Liu,Nikolay Tzvetkov et al.
Arnaud Debussche et al.
We consider the nonlinear Schrödinger equation with multiplicative spatial white noise and an arbitrary polynomial nonlinearity on the two-dimensional full space domain. We prove global well-posedness by using a gauge-transform introduced ...
March Boedihardjo,Thomas Strohmer,Roman Vershynin
March Boedihardjo
Differential privacy is a mathematical concept that provides an information-theoretic security guarantee. While differential privacy has emerged as a de facto standard for guaranteeing privacy in data sharing, the known mechanisms to achiev...
Harnack inequality and one-endedness of UST on reversible random graphs [0.03%]
可逆随机图上的UST的Harnack不等式和一端性
Nathanaël Berestycki,Diederik van Engelenburg
Nathanaël Berestycki
We prove that for recurrent, reversible graphs, the following conditions are equivalent: (a) existence and uniqueness of the potential kernel, (b) existence and uniqueness of harmonic measure from infinity, (c) a new anchored Harnack inequa...