Entropy and Its Variational Principle for Locally Compact Metrizable Systems

André Caldas, Mauro Patrão

For a given topological dynamical system $(X,T)$ over a compact set $X$ with a metric $d$, the "variational principle" states that \begin{equation*} \sup_μh_μ(T) = h(T) = h_d(T), \…