Invariance of entropy for maps isotopic to Anosov

Journal article

Pablo D. Carrasco, Cristina Lizana, Enrique Pujals, Carlos H. Vásquez
Nonlinearity, vol. 34(3), 2021, pp. 1612-1632

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APA Click to copy
Carrasco, P. D., Lizana, C., Pujals, E., & Vásquez, C. H. (2021). Invariance of entropy for maps isotopic to Anosov. Nonlinearity, 34(3), 1612–1632. https://doi.org/10.1088/1361-6544/abdfb3

Chicago/Turabian Click to copy
Carrasco, Pablo D., Cristina Lizana, Enrique Pujals, and Carlos H. Vásquez. “Invariance of Entropy for Maps Isotopic to Anosov.” Nonlinearity 34, no. 3 (2021): 1612–1632.

MLA Click to copy
Carrasco, Pablo D., et al. “Invariance of Entropy for Maps Isotopic to Anosov.” Nonlinearity, vol. 34, no. 3, 2021, pp. 1612–32, doi:10.1088/1361-6544/abdfb3.

BibTeX Click to copy

@article{carrasco2021a,
  title = {Invariance of entropy for maps isotopic to Anosov},
  year = {2021},
  issue = {3},
  journal = {Nonlinearity},
  pages = {1612-1632},
  volume = {34},
  doi = {10.1088/1361-6544/abdfb3},
  author = {Carrasco, Pablo D. and Lizana, Cristina and Pujals, Enrique and Vásquez, Carlos H.}
}

e prove the topological entropy remains constant inside the class of partially hyperbolic diffeomorphisms of T^d with simple central bundle (that is, when it decomposes into one dimensional sub-bundles with controlled geometry) and such that their induced action on H_1( T^d ) is hyperbolic. In absence of the simplicity condition we construct a robustly transitive counter-example.