arXiv:0911.1153v1 [math.PR] 6 Nov 2009 Page 1 arXiv:0911.1153v1 [math.PR] 6 Nov 2009
Determinantal point processes Alexei Borodin ∗ Abstract We present a list of algebraic …

These are lecture notes for a mini-course given at the St. Petersburg School in Probability
and Statistical Physics in June 2012. Topics include integrable models of random growth …

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 establish a connection between two previously unrelated topics: a particular discrete
version of conformal geometry for triangulated surfaces, and the geometry of ideal polyhedra …

Graphs are usually represented as geometric objects drawn in the plane, consisting of
nodes and curves connecting them. The main message of this book is that such a …

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 …

The Discrete Gaussian model is the lattice Gaussian free field conditioned to be integer-
valued. In two dimensions and at sufficiently high temperature, we show that its macroscopic …

Proceedings of the International Congress of Mathematicians 2010 (ICM 2010) : Discrete
Complex Analysis and Probability Page 1 Proceedings of the International Congress of …

A Gelfand–Tsetlin scheme of depth NN is a triangular array with mm integers at level mm,
m= 1, ..., N m= 1,…, N, subject to certain interlacing constraints. We study the ensemble of …

The Discrete Gaussian model is the lattice Gaussian free field conditioned to be integer-
valued. In two dimensions and at sufficiently high temperature, we show that the scaling limit …