Évènement

Siamak Taati

Date(s) : 22/03/2024   iCal
11h00 - 12h00

In equilibrium statistical mechanics, the macroscopic states of a
system at thermal equilibrium are described by probability measures on
the space of microscopic states that maximize pressure.  For systems
whose microscopic states are symbolic configurations from a subshift,
Dobrushin, Lanford and Ruelle showed that under broad conditions,
global and local equilibrium conditions are equivalent, that is,
"equilibrium measures" are the same as (shift-invariant) "Gibbs
measures".  I will discuss some variants and generalizations of this
theorem, in particular, a broad generalization to systems in contact
with a random environment.  Some symbolic dynamics issues arise.  The
underlying lattice can be any countable amenable group.

This is joint work with Sebastián Barbieri, Ricardo Gómez-Aíza and
Brian Marcus (Nonlinearity, 2020).

Emplacement
Saint-Charles - FRUMAM (2ème étage)

Catégories

• Séminaire