Author

C. E. Hedges

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Preprint Sep 2026

Finite Cores Exhaustion and the Failure of Strict Sequential-Pressure Approximation in Coded Shifts

Let $X=X(\mathcal{G})$ be a coded shift whose generating set uniquely represents its concatenation set. We prove that, for every continuous potential $\varphi$, the pressures of the finite-generator subshifts (the finite cores) converge to the sequential pressure $P_{\mathrm{seq}}(\varphi,\mathcal{G})$, the supremum of...

C. E. Hedges · 0 citations

Some Results in Thermodynamic Formalism

This dissertation investigates several key questions at the intersection of dynamical systems, computability theory, and thermodynamic formalism. In the symbolic setting, we establish novel results regarding the statistical properties of equilibrium states, deriving bounds on probabilities of configurations and relatin...

C. E. Hedges · 0 citations