Browsing by Author "664e649b-c7df-4c80-91db-2d9e4c1e320e"

Now showing items 1-5 of 5

    • A Pfaffian Representation for Flat ASEP 
      Ortmann, Janosch; Quastel, Jeremy; Remenik Zisis, Daniel (Wiley, 2017)
      We obtain a Fredholm Pfaffian formula for an appropriate generating function of the height function of the asymmetric simple exclusion process starting from flat (periodic) initial data. Formal asymptotics lead to the GOE ...
    • Continuum Statistics of the Airy2 Process 
      Corwin, Ivan; Quastel, Jeremy; Remenik Zisis, Daniel (2013)
      We develop an exact determinantal formula for the probability that the Airy2 process is bounded by a function g on a finite interval. As an application, we provide a direct proof that sup(A2(x) − x2) is distributed as a ...
    • Endpoint Distribution of Directed Polymers in 1 + 1 Dimensions 
      Moreno Flores, Gregorio; Quastel, Jeremy; Remenik Zisis, Daniel (Springer, 2013)
      We give an explicit formula for the joint density of the max and argmax of the Airy2 process minus a parabola. The argmax has a universal distribution which governs the rescaled endpoint for large time or temperature of ...
    • One-sided reflected Brownian motions and the KPZ fixed point 
      Nica, Mihai; Quastel, Jeremy; Remenik Zisis, Daniel (Cambridge Univ., 2020)
      We consider the system of one-sided reflected Brownian motions that is in variational duality with Brownian last passage percolation. We show that it has integrable transition probabilities, expressed in terms of Hermite ...
    • 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. ...