[ABE-L] Próximo seminário (online) de probabilidade - IM-UFRJ - 26 de abril

[Maria Eulalia Vares]

*Probability Webinar -   IM-UFRJ *



Dear colleagues,

Our next online seminar will be held on Monday, *April 26*, from *3 p.m. to
4 p.m*. (Rio de Janeiro local time)

The GoogleMeet link for the seminar is  https://meet.google.com/uew-ehhn-kby


Speaker:   *Leonardo T. Rolla (**IMAS-Conicet and*  *University of Warwick)
*

Title: *Soliton decomposition of the Box-Ball System*

Abstract: The Box-Ball System is a cellular automaton introduced by
Takahashi and Satsuma as a discrete counterpart of the Korteweg & de Vries
(KdV) differential equation. Both systems exhibit solitons, solitary waves
that conserve shape and speed even after collision with other solitons. A
configuration is a binary function on the integers representing boxes which
may contain one ball or be empty. A carrier visits successively boxes from
left to right, picking balls from occupied boxes and depositing one ball,
if carried, at each visited empty box. Conservation of solitons suggests
that this dynamics has many spatially-ergodic invariant measures besides
the i.i.d. distribution. Building on Takahashi-Satsuma identification of
solitons, we provide a soliton decomposition of the ball configurations and
show that the dynamics reduces to a hierarchical translation of the
components, finally obtaining an explicit recipe to construct a rich family
of invariant measures. We also consider the a.s. asymptotic speed of
solitons of each size. An extended version of this abstract, references,
simulations, and the slides, all can be found at
https://mate.dm.uba.ar/~leorolla/bbs-abstract.pdf.

This is a joint work with Pablo A. Ferrari, Chi Nguyen, Minmin Wang.



All the talks are held in English.

The videos of the online seminars held in 2020 are available at
http://www.dme.ufrj.br/?page_id=2885

For the 2021 series, a few days after each meeting the video should be
available at http://www.dme.ufrj.br/?page_id=3027



Thanks for circulating this information.

Sincerely,
Organizers: Guilherme Ost and Maria Eulalia Vares
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