Problem 43

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Definition of Gibbs measures for homeomorphisms? Relation to equilibrium states?

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SymDyn
Thermo

Comments

Submitted by BrianMarcus on Mon, 11/14/2016 - 15:01

see Meyerovitch [1]

References

  1. [meyerovitch2013gibbs] Meyerovitch T.  2013.  Gibbs and equilibrium measures for some families of subshifts. Ergodic Theory and Dynamical Systems. 33:934–953.

Submitted by Vaughn Climenhaga on Sat, 07/15/2017 - 11:46

[1] seems relevant.

References

  1. [HaydnRuelle1992] Haydn N.TA, Ruelle D..  1992.  Equivalence of {G}ibbs and equilibrium states for homeomorphisms satisfying expansiveness and specification. Comm. Math. Phys.. 148:155–167.

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