4 papers
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…
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…
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,…