Zhipeng Liu

most citedTASEP on a ring in sub-relaxation time scale

26 citations · 30 across the 4 of their papers we have counts for

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math.PR2022★ 1 cited

A conditional scaling limit of the KPZ fixed point with height tending to infinity at one location

Zhipeng Liu, Yizao Wang

We consider the asymptotic behavior of the KPZ fixed point ${H (x, t)}_{x \in R, t > 0}$ conditioned on $H (0, T) = L$ as $L$ goes to infinity. The main result is a…

math.PR2016★ 3 cited

Height fluctuations of stationary TASEP on a ring in relaxation time scale

Zhipeng Liu

We consider the totally asymmetric simple exclusion process on a ring with stationary initial conditions. The crossover between KPZ dynamics and equilibrium dynamics occurs when ti…

math.PR2016

Exact Sampling of the Infinite Horizon Maximum of a Random Walk Over a Non-linear Boundary

Jose Blanchet, Jing Dong, Zhipeng Liu

We present the first algorithm that samples $max_{n \geq 0} {S_{n} - n^{α}},$ where $S_{n}$ is a mean zero random walk, and $n^{α}$ with $α \in (1/2, 1)$ defines a nonliner boundary. We show…

math.PR2016★ 26 cited

TASEP on a ring in sub-relaxation time scale

Jinho Baik, Zhipeng Liu

Interacting particle systems in the KPZ universality class on a ring of size $L$ with $O (L)$ number of particles are expected to change from KPZ dynamics to equilibrium dynamics at…