Research

Publications

  1. From the totally asymmetric simple exclusion process to the KPZ fixed point,
    with J.Quastel, PCMI lecture notes, 2017.
  2. Convergence of finite-range weakly asymmetric exclusion processes on a circle,
    with J.Quastel, in preparation.
  3. KPZ universality of variants of TASEP,
    with J.Quastel and D.Remenik, in preparation.
  4. The KPZ fixed point,
    with J.Quastel and D.Remenik, 2016.
  5. Space-time discrete KPZ equation,
    with G.Cannizzaro, accepted to Communications in Mathematical Physics, 2016.
  6. Discretisations of rough stochastic PDEs,
    with M.Hairer, accepted to Annals of Probability, 2015.
  7. Optimal rate of convergence of the stochastic Burgers-type equations,
    with M.Hairer, Stoch. PDE: Anal. Comp., 3, no. 4, (2015), 1-36.
  8. Discretisations of rough stochastic PDEs. Ph.D. theis, University of Warwick, 2016.
  9. On risk estimation of homogeneous finite Markov chains with unknown parameters,
    with Yu.Kharin, Vestnik of Belarusian State University, 2010.
  10. On forecasting of discrete time series based on Markov chains,
    with Yu.Kharin, A.Pyatlitski, Economics, modeling, forecasting, Minsk, 2008.

Simulations

    In my spare time I have developed a Java-framework for simulation of time-evolving models, which can be displayed as applets or stand-alone applications. The source code and an IntelliJ IDEA project can be downloaded from the repository. In order to run the jar-files one needs the JRE 8 with JavaFX.
  1. Simulation of TASEP
    This application is similar to the applet developed by Patrik Ferrari. A description of the model and relevant references can be found on his web-page.