4 papers · 1 filter
Invariant measures for half-space geometric LPP: classification and the one force--one solution principle
Sayan Das, Evan Sorensen, Zongrui Yang
We prove a complete characterization of the extremal invariant measures for half-space geometric last-passage percolation with an arbitrary boundary parameter. This is the first re…
Pinning in non-critical half-space geometric last passage percolation
Sayan Das, Evgeni Dimitrov, Zongrui Yang
We study a symmetrized (half-space) version of geometric last passage percolation with a boundary parameter that interpolates between subcritical, critical, and supercritical b…
From asymmetric simple exclusion processes with open boundaries to stationary measures of open KPZ fixed point: the shock region
Yizao Wang, Zongrui Yang
We continue the investigation of limit fluctuations of stationary measures of the asymmetric simple exclusion processes with open boundaries (open ASEP), complementing the recent r…
Large deviation principle for the stationary measures of open asymmetric simple exclusion processes
Milind Hegde, Zongrui Yang
We consider the stationary measure of the asymmetric simple exclusion process (ASEP) on a finite interval in with open boundaries. Fixing all the jump rates and lettin…