English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

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

Entropy formula for systems with inducing schemes