Browsing by Subject "KPZ universality class"

Now showing items 1-4 of 4

    • Extreme statistics of non-intersecting Brownian paths 
      Nguyen, Gia Bao; Remenik Zisis, Daniel (University of Washington, 2017)
      We consider finite collections of N non-intersecting Brownian paths on the line and on the half-line with both absorbing and reflecting boundary conditions (corresponding to Brownian excursions and reflected Brownian ...
    • Non-intersecting Brownian bridges and the Laguerre Orthogonal Ensemble 
      Nguyen, Gia Bao; Remenik Zisis, Daniel (Institute of Mathematical Statistics, 2017)
      We show that the squared maximal height of the top path amongNnon-intersecting Brownian bridges starting andending at the origin is distributed as the top eigenvalue of a random matrix drawn from the Laguerre Orthogonal ...
    • Renormalization Fixed Point of the KPZ Universality Class 
      Corwin, Iván; Quastel, Jeremy; Remenik Zisis, Daniel (Springer, 2015)
      The one dimensional Kardar–Parisi–Zhang universality class is believed to describe many types of evolving interfaces which have the same characteristic scaling exponents. These exponents lead to a natural renormalizati ...
    • Solution of the Kolmogorov equation for TASEP 
      Nica, Mihai; Quastel, Jeremy; Remenik Zisis, Daniel (Institute of Mathematical Statistics, USA, 2020)
      We provide a direct and elementary proof that the formula obtained in (Matetski, Quastel and Remenik (2016)) for the TASEP transition probabilities for general (one-sided) initial data solves the Kolmogorov backward equation. ...