04.11.2026
Włodzimierz Bryc, University of Cincinnati
"Stationary measures for geometric last passage percolation on a strip and in half-space"
Abstract: Geometric last passage percolation on a strip of width \(N\) has a unique stationary measure, given by Barraquand, Corwin and Yang as a marginal of an explicit two-layer weight. I will describe two scaling limits of it. Thinning the bulk gives a pair of Poisson processes conditioned on a ballot event, with discrete Bessel marginals. Widening the strip gives a stationary measure of the half-space model, with family parameter \(s = \max\{1, c_1, c_2\}\) for all boundary parameters. The two limits turn out to be the same object seen at two scales, by Pitman's \(2M-X\) theorem.
Włodzimierz Bryc, University of Cincinnati
"Stationary measures for geometric last passage percolation on a strip and in half-space"
Abstract: Geometric last passage percolation on a strip of width \(N\) has a unique stationary measure, given by Barraquand, Corwin and Yang as a marginal of an explicit two-layer weight. I will describe two scaling limits of it. Thinning the bulk gives a pair of Poisson processes conditioned on a ballot event, with discrete Bessel marginals. Widening the strip gives a stationary measure of the half-space model, with family parameter \(s = \max\{1, c_1, c_2\}\) for all boundary parameters. The two limits turn out to be the same object seen at two scales, by Pitman's \(2M-X\) theorem.
Everyone is cordially invited!
B. Kołodziejek, W. Matysiak, K. Szpojankowski, J. Wesołowski