Probability Seminar: Difference between revisions

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'''Title: Scaling limit of soliton statistics of a multicolor box-ball system'''
'''Scaling limit of soliton statistics of a multicolor box-ball system'''


'''Abstract:''' The box-ball systems (BBS) are integrable cellular automata whose long-time behavior is characterized by the soliton solutions, and have rich connections to other integrable systems such as Korteweg-de Veris equation. Probabilistic analysis of BBS is an emerging topic in the field of integrable probability, which often reveals novel connection between the rich integrable structure of BBS and probabilistic phenomena such as phase transition and invariant measures. In this talk, we give an overview on the recent development in scaling limit theory of multicolor BBS with random initial configurations. Our analysis uses various methods such as modified Greene-Kleitman invariants for BBS, circular exclusion processes, Kerov–Kirillov–Reshetikhin bijection, combinatorial R, and Thermodynamic Bethe Ansatz.
'''Abstract:''' The box-ball systems (BBS) are integrable cellular automata whose long-time behavior is characterized by the soliton solutions, and have rich connections to other integrable systems such as Korteweg-de Veris equation. Probabilistic analysis of BBS is an emerging topic in the field of integrable probability, which often reveals novel connection between the rich integrable structure of BBS and probabilistic phenomena such as phase transition and invariant measures. In this talk, we give an overview on the recent development in scaling limit theory of multicolor BBS with random initial configurations. Our analysis uses various methods such as modified Greene-Kleitman invariants for BBS, circular exclusion processes, Kerov–Kirillov–Reshetikhin bijection, combinatorial R, and Thermodynamic Bethe Ansatz.

Revision as of 05:17, 5 September 2021


Fall 2021

Thursdays at 2:30 PM either in 901 Van Vleck Hall or on Zoom

We usually end for questions at 3:20 PM.

ZOOM LINK. Valid only for online seminars.

If you would like to sign up for the email list to receive seminar announcements then please join our group.

September 16, 2021, in person: Hanbayek Lyu (UW-Madison)

Scaling limit of soliton statistics of a multicolor box-ball system

Abstract: The box-ball systems (BBS) are integrable cellular automata whose long-time behavior is characterized by the soliton solutions, and have rich connections to other integrable systems such as Korteweg-de Veris equation. Probabilistic analysis of BBS is an emerging topic in the field of integrable probability, which often reveals novel connection between the rich integrable structure of BBS and probabilistic phenomena such as phase transition and invariant measures. In this talk, we give an overview on the recent development in scaling limit theory of multicolor BBS with random initial configurations. Our analysis uses various methods such as modified Greene-Kleitman invariants for BBS, circular exclusion processes, Kerov–Kirillov–Reshetikhin bijection, combinatorial R, and Thermodynamic Bethe Ansatz.

September 23, 2021, no seminar

September 30, 2021, in person: Marianna Russskikh (MIT)

October 7, 2021, ZOOM: Barbara Dembin (ETH Zurich)

October 14, 2021, TBA

October 21, 2021, ZOOM: Sumit Mukherjee (Columbia)

October 28, 2021, ZOOM: Wei-Kuo Chen (Minnesota)

November 4, 2021, TBA

November 11, 2021, in person: Lingfu Zhang (Prinecton)

November 18, 2021, TBA

November 25, 2021, no seminar

December 2, 2021, TBA

December 9, 2021, TBA

Past Seminars