arxiv:2301.00547v2 [math.PR] 4 Apr 2023 Page 1 arxiv:2301.00547v2 [math.PR] 4 Apr 2023
THE KPZ EQUATION AND THE DIRECTED LANDSCAPE XUAN WU Abstract. This paper …

Abstract Barraquand and Le Doussal (Europhys. Lett. 137 (2022) 61003) introduced a family
of stationary measures for the (conjectural) KPZ fixed point on an interval with Neumann …

In this paper we consider the stochastic six-vertex model in the quadrant started with step
initial data. After a long time T, it is known that the one-point height function fluctuations are …

Consider a sequence of Gibbsian line ensembles, whose lowest labeled curves (ie, the
edge) have tight one-point marginals. Then, given certain technical assumptions on the …

For the exactly solvable model of exponential last passage percolation on ℤ2, consider the
geodesic Γ n joining (0, 0) and (n, n) for large n. It is well known that the transversal …

A Bernoulli Gibbsian line ensemble L=(L 1,…, LN) is the law of the trajectories of N− 1
independent Bernoulli random walkers L 1,…, LN− 1 with possibly random initial and …

We study the partition functions associated with non-intersecting polymers in a random
environment. By considering paths in series and in parallel, the partition functions carry …

We study the one-dimensional discrete time totally asymmetric simple exclusion process
with parallel update rules on a spatially periodic domain. A multi-point space-time joint …

We obtain a new relation between the distributions μ t at different times t≥ 0 of the
continuous-time totally asymmetric simple exclusion process (TASEP) started from the step …

First passage percolation (FPP) on Z d or R d is a canonical model of a random metric space
where the standard Euclidean geometry is distorted by random noise. Of central interest is …