Abstract
We prove that Pesin’s entropy formula holds generically within a broad subset of volume-preserving bi-Lipschitz homeomorphisms with respect to the Lipschitz–Whitney topology.
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Acknowledgements
The authors would like to thank the anonymous referees for the careful reading of the manuscript and for giving very helpful comments and suggestions. The authors were partially supported by FCT—‘Fundação para a Ciência e a Tecnologia’, through Centro de Matemática e Aplicações (CMA-UBI), Universidade da Beira Interior, Project UID/MAT/00212/2013. MB would like to thanks CMUP for providing the necessary conditions in which this work was also developed and also Edson de Faria for suggestions related to the Lipschitz–Whitney topology.
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Bessa, M., Silva, C.M. & Vilarinho, H. Stretching Generic Pesin’s Entropy Formula. J Stat Phys 173, 1523–1546 (2018). https://doi.org/10.1007/s10955-018-2163-1
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DOI: https://doi.org/10.1007/s10955-018-2163-1