Coding and entropy for piecewise continuous piecewise monotone transformations Original Research Article

We use ideas of symbolic dynamics to define the topological entropy h(S)h(S) for a piecewise continuous piecewise monotone interval map S by counting the n-addresses of S with respect to a suitable system of pairwise disjoint open intervals. It turns out that this definition yields the same value as Bowenʹs definition using (n,ε)(n,ε)-separated and (n,ε)(n,ε)-spanning sets.