The next OWPS will be on Wednesday, June 4,  from 13:00 to 15:00 UTC time. 

Title, abstract and the zoom link are below the signature and can be found on the website https://www.owprobability.org/one-world-probability-seminar.

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Scaling limits of a tagged soliton in the randomized box-ball system

Hayate Suda (Tokyo Institute of Technology)


The box-ball system (BBS) is a cellular automaton that exhibits the solitonic behavior. In recent years, with the rapid progress in the study of the hydrodynamics of integrable systems, there has been a growing interest in BBS with random initial distribution. In this talk, we consider the scaling limits for a tagged soliton in the BBS starting from certain stationary distribution.

This talk is based on a joint work with Stefano Olla and Makiko Sasada.

Probabilistic aspects of integrable systems

Makiko Sasada (University of Tokyo)


The KdV equation and the Toda lattice are classical integrable systems, with the box-ball system (BBS) as their ultra-discrete analogue. The BBS has been studied from various viewpoints such as tropical geometry, combinatorics, and cellular-automaton. Recently, probabilistic approaches to the BBS—such as the Pitman transform and analysis of i.i.d.-type invariant measures—have advanced rapidly and are also applicable to discrete KdV and Toda systems. Connections to Yang-Baxter maps have further deepened this research topic. In this talk, I will provide an overview of these developments.

This talk is based on joint works with David Croydon, Tsuyoshi Kato, Satoshi Tsujimoto, Ryosuke Uozumi, Hiroki Kondo and Sachiko Nakajima.

https://polimi-it.zoom.us/j/92945513591?pwd=zjtRwpHoO9kRyQuPPj4o186jXrvg1v.1

Meeting ID: 92945513591

Passcode: 131676