5 papers
Stationary measures for log-gamma polymer on a strip and in half-space
Wlodek Bryc, Jacek Wesolowski
We study stationary measures of the log-gamma polymer on a finite diagonal strip and in a half-space. We establish the phase diagram for the stationary measure on the strip. To thi…
Free Askey--Wilson functionals and geometric last passage percolation on a strip
Wlodek Bryc, Kamil Szpojankowski, Jacek Wesolowski
Barraquand, Corwin, and Yang arXiv:2306.05983 established that geometric last passage percolation (LPP) on a strip of has a unique stationary measure. Building on th…
Limits of Random Motzkin paths with KPZ related asymptotics
Wlodzimierz Bryc, Alexey Kuznetsov, Jacek Wesolowski
We study Motzkin paths of length with general weights on the edges and end points. We investigate the limit behavior of the initial and final segments of the random Motzkin pat…
Asymptotic normality through factorial cumulants and partitions identities
Konstancja Bobecka, Pawel Hitczenko, Fernando Lopez-Blazquez +2
In the paper we develop an approach to asymptotic normality through factorial cumulants. Factorial cumulants arise in the same manner from factorial moments, as do (ordinary) cumul…
Bridges of quadratic harnesses
W. Bryc, J. Wesolowski
Quadratic harnesses are typically non-homogeneous Markov processes with time-dependent state space. Using an appropriately defined affine transformation we show that all bridges of…