[ABE-L] Próximo seminário de probabilidade - 20 de setembro -

[Maria Eulalia Vares]

*Probability Webinar -   IM-UFRJ *



Dear colleagues,

Our next online seminar will be held on Monday, *September 20, * from *3
p.m. to 4 p.m*. (Rio de Janeiro local time)

The Zoom link for the seminar is

https://us02web.zoom.us/j/83698166702?pwd=ejFxYmh3dVk5b3J3SG0wMWxEVnVrUT09


Speaker:  *Davide Gabrielli (Università dell'Aquila)*

Title: *Invariant measures of the Box Ball System with independent soliton
components*

 Abstract:   The Box-Ball System (BBS) is a one-dimensional cellular
automaton on the integer lattice. It is related to the Korteweg-de Vries
(KdV) equation and exhibits solitonic behaviour. It has been introduced by
Takahashi and Satsuma, who identified conserved quantities called solitons.
Ferrari, Nguyen, Rolla and Wang  codify a configuration of  balls  by a
double infinite array of integer numbers called the soliton components.
Building over this codification, we give an explicit construction of a
large family of invariant measures for the Box Ball System that are also
shift invariant, including  Markov and Bernoulli product measures. The
construction is based on the concatenation of i.i.d. excursions of the
associated walk trajectory. The corresponding random array of components
has a product distribution with geometric marginals of parameter depending
on the size of the solitons. The values of the parameters are obtained by a
recursive equation.

Joint work with P.A. Ferrari



All the talks are held in English.

The videos of the online seminars are available:

2020 -  http://www.dme.ufrj.br/?page_id=2885

2021-1  - http://www.dme.ufrj.br/?page_id=3027

For the second semester, a few days after each meeting the video should be
available at http://www.dme.ufrj.br/?page_id=3178

Thanks for circulating this information.

Sincerely,
Organizers: Guilherme Ost and Maria Eulalia Vares
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