Classical KMS Functionals and Phase Transitions in Poisson Geometry

Abstract

We study the convex cone of not necessarily smooth measures satisfying the classical KMS condition within the context of Poisson geometry. We discuss the general properties of KMS measures and its relation with the underlying Poisson geometry in analogy to Weinstein's seminal work in the smooth case. Moreover, by generalizing results from the symplectic case, we focus on the case of $b$-Poisson manifolds, where we provide an almost complete characterization of the convex cone of KMS measures.

arXiv comment47 pages

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Cited by in corpus (1)

• Classical and quantum KMS states on spin lattice systems