Vadim Gorin
About me
Integrable FRG

Two main directions of my research are:

  1. Asymptotic analysis of integrable stochastic systems through exact formulas and algebraic techniques.
  2. Development of robust methods for proving the universality of the known asymptotic behaviors.

The list of my publications is available at Google Scholar Citations, and at arXiv.

Keywords: Integrable probability, 2d statistical mechanics, random matrices, interacting particle systems, asymptotic representation theory, high-dimensional statistics.

Extended reviews:

  1. Lectures on integrable probability, 2012.
    Published in: Probability and Statistical Physics in St. Petersburg, Proceedings of Symposia in Pure Mathematics, Vol. 91, 155-214. AMS 2016.

  2. Lectures on random lozenge tilings, 2021.
    Published by Cambridge University Press as "Lectures on Random Lozenge Tilings" and can be ordered here. This pre‐publication version is free to view and download for personal use only. Not for re‐distribution, re‐sale or use in derivative works. © Vadim Gorin
    Note: I keep updating the online version, correcting the errors pointed by the readers.

  3. Six-vertex model and random matrix distributions, 2023.
Volume-weighted random lozenge tiling Uniformly random lozenge tiling: averaged Random lozenge tiling: Racah measure
Square-ice model Domino tiling Square-ice model:lines
Height function in an interacting particle system Sorting network Last Passage Percolation in Poission field

For sampling some of these pictures see Random Tilings Generator and its configuration file