Siamak TAATI
Amercian University Beirut
Date(s) : 22/03/2024 iCal
11 h 00 min - 12 h 00 min
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
FRUMAM, St Charles (2ème étage)
Catégories