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math.DS2026
Which Phases Are Thermodynamically Realizable? A Local Entropy Criterion
C. Evans Hedges
In the variational approach to statistical mechanics, equilibrium states are the rigorous analogues of thermodynamic phases; the question of which invariant measures can arise as e…
math.DS2025
On the Equivalence of Equilibrium and Freezing States in Dynamical Systems
C. Evans Hedges
This paper is concerned with freezing phase transitions in general dynamical systems. A freezing phase transition is one in which, for a given potential , there exists some inv…
math.DS2024
Bounds for Equilibrium States on Amenable Group Subshifts
C. Evans Hedges
We prove a result on equilibrium measures for potentials with summable variation on arbitrary subshifts over a countable amenable group. For finite configurations and , if $…