Browsing by Author "c1f90627-af55-450d-8450-6bcd5053e397"

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    • 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. ...