Journal article
Pablo D. Carrasco, Cristina Lizana, Enrique Pujals, Carlos H. Vásquez
Nonlinearity, vol. 34(3), 2021, pp. 1612-1632
Nonlinearity, vol. 34(3), 2021, pp. 1612-1632
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APA
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Carrasco, P. D., Lizana, C., Pujals, E., & Vásquez, C. H. (2021). Invariance of entropy for maps isotopic to Anosov. Nonlinearity, 34(3), 1612–1632.
Chicago/Turabian
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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
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Carrasco, Pablo D., et al. “Invariance of Entropy for Maps Isotopic to Anosov.” Nonlinearity, vol. 34, no. 3, 2021, pp. 1612–32.
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@article{carrasco2021a,
title = {Invariance of entropy for maps isotopic to Anosov},
year = {2021},
issue = {3},
journal = {Nonlinearity},
pages = {1612-1632},
publisher = {},
volume = {34},
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.
