19 citations · 29 across the 11 of their papers we have counts for
9 papers · 1 filter
The Airy line ensemble at the edge of uniform alternating sign matrices
Yuchen Liao
We prove that the height-level path ensemble of a uniform alternating sign matrix converges to the Airy line ensemble near every interior point of the north-west arctic arc. Under…
Periodic KPZ fixed point with general initial conditions
Jinho Baik, Yuchen Liao, Zhipeng Liu
We consider the relaxation-time-scale limit of the periodic totally asymmetric simple exclusion process (PTASEP) with general initial conditions. For every sequence of initial cond…
Multipoint distributions of the KPZ fixed point with compactly supported initial conditions
Yuchen Liao, Zhipeng Liu
The KPZ fixed point is a universal limiting space-time random field for the Kardar-Parisi-Zhang universality class. While the joint law of the KPZ fixed point at a fixed time has b…
Lower tail large deviations of the stochastic six vertex model
Sayan Das, Yuchen Liao, Matteo Mucciconi
In this paper, we study lower tail probabilities of the height function of the stochastic six-vertex model. We introduce a novel combinatorial approach to demon…
Large deviations for the -deformed polynuclear growth
Sayan Das, Yuchen Liao, Matteo Mucciconi
In this paper, we study large time large deviations for the height function of the -deformed polynuclear growth introduced in ABW22 [arXiv:2108.06018]. We sh…
Non-intersecting path constructions for TASEP with inhomogeneous rates and the KPZ fixed point
Elia Bisi, Yuchen Liao, Axel Saenz +1
We consider a discrete-time TASEP, where each particle jumps according to Bernoulli random variables with particle-dependent and time-inhomogeneous parameters. We use the combinato…
Moment Intermittency in the PAM with Asymptotically Singular Noise
Pierre Yves Gaudreau Lamarre, Promit Ghosal, Yuchen Liao
Let be a singular Gaussian noise on that is either white, fractional, or with the Riesz covariance kernel; in particular, there exists a scaling parameter s…
Rigidity of the Stochastic Airy Operator
Pierre Yves Gaudreau Lamarre, Promit Ghosal, Wenxuan Li +1
We prove that the spectrum of the stochastic Airy operator is rigid in the sense of Ghosh and Peres (Duke Math. J., 166(10):1789--1858, 2017) for Dirichlet and Robin boundary condi…
Multi-point distribution of discrete time periodic TASEP
Yuchen Liao
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 dis…