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Fluctuations of TASEP and LPP with general initial data

- Ivan Corwin, Zhipeng Liu, Dong Wang
- Mathematics
- 16 December 2014

We prove Airy process variational formulas for the one-point probability distribution of (discrete time parallel update) TASEP with general initial data, as well as last passage percolation from a… Expand

Multipoint distribution of periodic TASEP

- J. Baik, Zhipeng Liu
- MathematicsJournal of the American Mathematical Society
- 9 October 2017

The height fluctuations of the models in the KPZ class are expected to converge to a universal process. The spatial process at equal time is known to converge to the Airy process or its variations.… Expand

Fluctuations of TASEP on a Ring in Relaxation Time Scale

- J. Baik, Zhipeng Liu
- Mathematics
- 23 May 2016

We consider the totally asymmetric simple exclusion process on a ring with flat and step initial conditions. We assume that the size of the ring and the number of particles tend to infinity… Expand

Discrete Toeplitz/Hankel Determinants and the Width of Nonintersecting Processes

- J. Baik, Zhipeng Liu
- Mathematics
- 18 December 2012

We show that the ratio of a discrete Toeplitz/Hankel determinant and its continuous counterpart equals a Freholm determinant involving continuous orthogonal polynomials. This identity is used to… Expand

On logarithmically optimal exact simulation of max-stable and related random fields on a compact set

- Zhipeng Liu, J. Blanchet, A. Dieker, T. Mikosch
- MathematicsBernoulli
- 1 November 2019

Published in: Bernoulli DOI: 10.3150/18-BEJ1076 Publication date: 2019 Document version Peer reviewed version Document license: Other Citation for published version (APA): Liu, Z., Blanchet, J. H.,… Expand

TASEP on a Ring in Sub-relaxation Time Scale

- J. Baik, Zhipeng Liu
- Physics
- 29 August 2016

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 the so-called… Expand

Periodic TASEP with general initial conditions

- J. Baik, Zhipeng Liu
- MathematicsProbability Theory and Related Fields
- 20 December 2019

We consider the one-dimensional totally asymmetric simple exclusion process with an arbitrary initial condition in a spatially periodic domain, and obtain explicit formulas for the multi-point… Expand

Multi-time distribution of TASEP

- Zhipeng Liu
- Mathematics
- 23 July 2019

Recently Johansson and Rahman obtained the limiting multi-time distribution for the discrete polynuclear growth model, which is equivalent to discrete TASEP model with step initial condition. In this… Expand

On Optimal Exact Simulation of Max-Stable and Related Random Fields

- Zhipeng Liu, J. Blanchet, A. Dieker, T. Mikosch
- Mathematics, Computer Science
- 20 September 2016

TLDR

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

- Zhipeng Liu
- Physics
- 14 October 2016

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 time is proportional… Expand

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