4 problems

Invariant measures have been constructed for several half-space models, including geometric and exponential last-passage percolation, the inverse-gamma polymer, and the KPZ equatio…

For half-space geometric last-passage percolation, Dauvergne and Zhang constructed a family of jointly invariant measures, meaning invariant measures describing several functions s…

Half-space geometric last-passage percolation has invariant measures, and a family of such measures was constructed by Barraquand and Corwin. An extremal invariant measure means an…

Let $Z^{hs}(x,s\mid y,t)$ be the half-space polymer partition function with Dirichlet boundary conditions. For a real parameter $v<0$, let $Z^{\rm stat}_2(0,y;v,-v)$ denote the sta…