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Finite Cores Exhaustion and the Failure of Strict Sequential-Pressure Approximation in Coded Shifts
C. Evans Hedges
Let be a coded shift whose generating set uniquely represents its concatenation set. We prove that, for every continuous potential , the pressures of the fini…
A Local Characterization of Unique Equilibrium States
C. Evans Hedges
We study when a prescribed ergodic measure is the unique equilibrium state of a continuous potential. For continuous actions of countably infinite discrete amenable groups on compa…
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 inve…
Computability of Pressure for Subshifts on Countable Amenable Groups
C. Evans Hedges, Ronnie Pavlov
There are a variety of results in the literature proving forms of computability for topological entropy and pressure on subshifts. In this work, we prove two quite general results,…
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 $…