17 citations · 84 across the 16 of their papers we have counts for
5 papers · 1 filter
Infinite order phase transition in the slow bond TASEP
Sourav Sarkar, Allan Sly, Lingfu Zhang
In the slow bond problem the rate of a single edge in the Totally Asymmetric Simple Exclusion Process (TASEP) is reduced from 1 to for some small . J…
Shift-Invariance of the Colored TASEP and Finishing Times of the Oriented Swap Process
Lingfu Zhang
We prove a new shift-invariance property of the colored TASEP. From the shift-invariance of the colored stochastic six-vertex model (proved in Borodin-Gorin-Wheeler or Galashin), o…
Convergence of the Environment Seen from Geodesics in Exponential Last-Passage Percolation
James B. Martin, Allan Sly, Lingfu Zhang
A well-known question in planar first-passage percolation concerns the convergence of the empirical distribution of weights as seen along geodesics. We demonstrate this convergence…
Mean Field Behavior during the Big Bang Regime for Coalescing Random Walks
Jonathan Hermon, Shuangping Li, Dong Yao +1
In this paper we consider coalescing random walks on a general connected graph . We set up a unified framework to study the leading order of the decay rate of , the e…
Disjoint optimizers and the directed landscape
Duncan Dauvergne, Lingfu Zhang
We study maximal length collections of disjoint paths, or 'disjoint optimizers', in the directed landscape. We show that disjoint optimizers always exist, and that their lengths ca…