Entropy formula for systems with inducing schemes

We obtain entropy formulas for Sinai–Ruelle–Bowen (SRB) measures with finite given by inducing schemes. In the first part of work, we Pesin formula class noninvertible systems whose SRB are Gibbs-Markov induced maps. second part, invertible maps Young sets, taking into account a classical compression technique along stable direction that allows reduction return map associated set to map. both cases, give applications our main results several classes dynamical singular where Ruelle and cannot be applied. also present examples schemes which inequality does not hold.