Random matrix theory is a wide and growing field with a variety of concepts, results, and
techniques and a vast range of applications in mathematics and the related sciences. The …

A bstract Gravitational subsystems with boundaries carry the action of an infinite-
dimensional symmetry algebra, with potentially profound implications for the quantum theory …

arxiv:0910.3129v1 [math.PR] 16 Oct 2009 Lectures on dimers Page 1 arxiv:0910.3129v1 [math.PR]
16 Oct 2009 Lectures on dimers Richard Kenyon Contents 1 Overview 3 1.1 Dimer definitions …

Over the past 25 years, there has been an explosion of interest in the area of random tilings.
The first book devoted to the topic, this timely text describes the mathematical theory of …

We construct a family of stochastic growth models in 2+ 1 dimensions, that belong to the
anisotropic KPZ class. Appropriate projections of these models yield 1+ 1 dimensional …

We study the asymmetric six-vertex model in the quadrant with parameters on the stochastic
line. We show that the random height function of the model converges to an explicit …

Motivated by quantum quenches in spin chains, a one-dimensional toy-model of fermionic
particles evolving in imaginary-time from a domain-wall initial state is solved. The main …

We study random skew 3D partitions weighted by q vol and, specifically, the q→ 1
asymptotics of local correlations near various points of the limit shape. We obtain sine-kernel …

We provide the first tight bounds on the lower tail probability of the one-point distribution of
the Kardar–Parisi–Zhang (KPZ) equation with narrow wedge initial data. Our bounds hold …

We revisit the problem of determining the Arctic curve in the six-vertex model with domain
wall boundary conditions. We describe an alternative method, by which we recover the …