東京確率論セミナー

過去の記録 ~05/02次回の予定今後の予定 05/03~

開催情報 月曜日 16:00~17:30 数理科学研究科棟(駒場) 126号室
担当者 佐々田槙子、中島秀太(明治大学)、星野壮登(東京科学大学)
セミナーURL https://sites.google.com/view/tokyo-probability-seminar23/

2025年02月06日(木)

16:00-17:30   数理科学研究科棟(駒場) 126号室
15:15〜 2階のコモンルームでTea timeを行います。ぜひこちらにもご参加ください。
Jacek Wesolowski 氏 (Warsaw University of Technology)
Asymptotics of random Motzkin paths
[ 講演概要 ]
We study Motzkin paths of length L with general weights on the edges and end points. We investigate the limit behavior of the initial and final segments of the random Motzkin path viewed as a pair of processes starting from each of the two end points as L becomes large. Macroscopic limits of the resulting processes (under two different asymptotic regimes) appear to be non-Brownian parts of stationary measures for the KPZ equation and hypothetical KPZ fixed point on the half-line. The talk is based on a joint paper with W. Bryc (Univ. of Cincinnati) and A. Kuztetsov (York Univ., Toronto) - to appear in IMRN, available also on arXiv: https://arxiv.org/abs/2402.00265