5 papers
A Remark on Downlink Massive Random Access
Yuchen Liao, Wenyi Zhang
In downlink massive random access (DMRA), a base station transmits messages to a typically small subset of active users, selected randomly from a massive number of total users. Exp…
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…
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…
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…