期刊： ANNALS OF PROBABILITY, 2021; 49 (3)
We consider a Poisson equation in R-d for the elliptic operator corresponding to an ergodic diffusion process. Optimal regularity and smoothness with ......
期刊： ANNALS OF PROBABILITY, 2021; 49 (2)
In this article, we study the smallest gaps of the circular beta-ensemble (C beta E) on the unit circle, where beta is any positive integer. The main ......
期刊： ANNALS OF PROBABILITY, 2021; 49 (2)
We are interested in the nearly supercritical regime in a family of maxtype recursive models studied by Collet, Eckman, Glaser and Martin (Comm. Math.......
期刊： ANNALS OF PROBABILITY, 2021; 49 (1)
This article focuses on the characterization of global multiple Schramm-Loewner evolutions (SLE). The chordal SLE describes the scaling limit of a sin......
期刊： ANNALS OF PROBABILITY, 2020; 48 (5)
We show that the number of maximal paths in directed last-passage percolation on the hypercubic lattice Z(d) (d >= 2) in which weights take finitel......
期刊： ANNALS OF PROBABILITY, 2019; 47 (1)
Given two probability measures mu and nu in "convex order" on R-d, we study the profile of one-step martingale plans pi on R-d x R-d that optimize the......
期刊： ANNALS OF PROBABILITY, 2019; 47 (1)
An exchangeable pair approach is commonly taken in the normal and nonnormal approximation using Stein's method. It has been successfully used to ident......
期刊： ANNALS OF PROBABILITY, 2019; 47 (2)
We first consider deterministic immersions of the d-dimensional sphere into high dimensional Euclidean spaces, where the immersion is via spherical ha......
期刊： ANNALS OF PROBABILITY, 2019; 47 (3)
Let U and V be two independent N by N random matrices that are distributed according to Haar measure on U(N). Let Sigma be a nonnegative deterministic......
期刊： ANNALS OF PROBABILITY, 2019; 47 (5)
We introduce a notion of strong differential subordination of noncommutative semimartingales, extending Burkholder's definition from the classical cas......
期刊： ANNALS OF PROBABILITY, 2019; 47 (5)
For a contraction C-0-semigroup on a separable Hilbert space, the decay rate is estimated by using the weak Poincare inequalities for the symmetric an......
期刊： ANNALS OF PROBABILITY, 2019; 47 (5)
For a given quasi-regular positivity preserving coercive form, we construct a family of (sigma-finite) distribution flows associated with the semigrou......
期刊： ANNALS OF PROBABILITY, 2019; 47 (6)
We extend the weak universality of KPZ in [An analytic BPHZ theorem for regularity structures (2016)] to weakly asymmetric interface models with gener......
期刊： ANNALS OF PROBABILITY, 2018; 46 (1)
We study the lattice approximations to the dynamical Phi(4)(3) model by paracontrolled distributions proposed in [Forum Math. Pi 3 (2015) e6]. We prov......
期刊： ANNALS OF PROBABILITY, 2018; 46 (2)
We consider biased random walks in positive random conductances on the d-dimensional lattice in the zero-speed regime and study their scaling limits. ......
