Title	Relative Gibbs measures and relative equilibrium measures
Creator	Taati, Siamak
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-05-17T11:30
Description	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 nice symbolic dynamics issues arise. The underlying lattice can be any countable amenable group.
Extent	52.0 minutes
Subject	Mathematics; Dynamical systems and ergodic theory; Group theory and generalizations; Dynamical systems
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Groningen
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-11-14
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0385505
URI	http://hdl.handle.net/2429/72279
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Researcher
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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Relative Gibbs measures and relative equilibrium measures Taati, Siamak

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