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Tokyo Probability Seminar
Seminar information archive ～04/24｜Next seminar｜Future seminars 04/25～
| Date, time & place | Monday 16:00 - 17:30 126Room #126 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | Makiko Sasada, Shuta Nakajima (Keio Univ.), Masato Hoshino (Science Tokyo), Masahisa Ebina (Science Tokyo) |
2026/04/27
14:00-17:30 Room #126 (Graduate School of Math. Sci. Bldg.)
Lectures start earlier. We are having teatime from 15:30 in Room#126. Please join us.
Clément Cosco (Université Paris Dauphine) 14:00-15:30
The maximum of 2d directed polymers. (Joint work with Shuta Nakajima and Ofer Zeitouni.)
TBA
Lectures start earlier. We are having teatime from 15:30 in Room#126. Please join us.
Clément Cosco (Université Paris Dauphine) 14:00-15:30
The maximum of 2d directed polymers. (Joint work with Shuta Nakajima and Ofer Zeitouni.)
[ Abstract ]
Directed polymers can be described as a tilting of the simple random walk, where some local random noise can attract or repel the trajectory of the walk. In the subcritical regime of the two-dimensional model, the partition function is known to be asymptotically approximated by a Gaussian log-correlated field. In a work in collaboration with Shuta Nakajima and Ofer Zeitouni, we could refine this result by proving that the maximum of the partition function field converges to that of a branching Brownian motion, which is the source of the log-correlation. In this talk, I will introduce the model as well as the objects related to it and present our result.
Subhro Ghosh (National University of Singapore) 16:00-17:30Directed polymers can be described as a tilting of the simple random walk, where some local random noise can attract or repel the trajectory of the walk. In the subcritical regime of the two-dimensional model, the partition function is known to be asymptotically approximated by a Gaussian log-correlated field. In a work in collaboration with Shuta Nakajima and Ofer Zeitouni, we could refine this result by proving that the maximum of the partition function field converges to that of a branching Brownian motion, which is the source of the log-correlation. In this talk, I will introduce the model as well as the objects related to it and present our result.
TBA
[ Abstract ]
TBA
TBA
