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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
FileFormat	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/
AggregatedSourceRepository	DSpace

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