[Probabilidad-Estadistica-Seminario] Seminario de Probabilidad y Estadística

[seminarios en cmat.edu.uy]

Seminario de Probabilidad y Estadística
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Título: "Box ball systems, soliton components and hydrodynamics"

Expositor: Pablo Ferrari (UBA)

Resumen:
 
The    box -ball system is a transport cellular automaton of balls on the
integers introduced by Takahashi and Satsuma in 1990 as a discrete analogue of
the KdV equation. The dynamics conserves solitons, solitary waves travelling at
speed proportional to its size and conserve shape and speed even after colliding
with other solitons. A ball configuration has soliton components that are fully
conserved by the dynamics. The dynamic of each component is just a shift.

A random initial ball configuration with translation invariant distribution and
independent translation invariant components is invariant for the dynamics. The
soliton decomposition of a product measure with density less than 1/2 has
independent components, and those are explicitly described. In this case, the
decomposition is related to the tree induced by the random walk with increments
given by the ball configuration.

In the translation invariant case, the asymptotic speeds of solitons are
computed and shown to satisfy an universal system of linear equations
corresponding to the Generalized Gibbs Ensemble of conservative systems.

The talk will require familiarity with basic concepts in stochastic processes.
The talk is based on joint work with Chi Nguyen, Leo Rolla, Minmin Wang and
Davide Gabrielli.  arXiv 1806.02798, 1812.02437 and 1906.06405.
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Viernes 2/10 a las 10:30, https://salavirtual-udelar.zoom.us/j/2301522749

Contacto: Alejandro Cholaquidis - acholaquidis en hotmail.com
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Calendario:

http://www.cmat.edu.uy/~mordecki/ seminario /

para el próximo viernes y los restantes EXCEPTO EL VIERNES 9 /10, vamos  a usar
el link

https://salavirtual-udelar.zoom.us/j/2301522749

para el viernes 9 vamos a usar

https://us02web.zoom.us/j/3498487602
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