Computing invariant densities and metric entropy (Q1582997)

This paper deals with the absolutely continuous invariant measure \(\mu\) for a piecewise analytic expanding Markov map \(T\) of the interval. The authors present a method for accurately computing the Lyapunov exponent of \(\mu\). The authors construct atomic signed measures \(\mu_M\) supported on periodic orbits up to period \(M\), and prove that \(\int\log|T'|d\mu_M\to h(\mu)\) super-exponentially fast. Moreover they provide numerous examples.