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November 2013 Measures with maximum total exponent and generic properties of $C^{1}$ expanding maps
Takehiko Morita, Yusuke Tokunaga
Hiroshima Math. J. 43(3): 351-370 (November 2013). DOI: 10.32917/hmj/1389102580

Abstract

We show that a generic $C^{1}$ expanding map on a compact Riemannian manifold has a unique measure of maximum total exponent which is fully supported and of zero entropy. We also show that for $r\ge 2$ a generic $C^{r}$ expanding map does not have fully supported measures of maximum total exponent.

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Takehiko Morita. Yusuke Tokunaga. "Measures with maximum total exponent and generic properties of $C^{1}$ expanding maps." Hiroshima Math. J. 43 (3) 351 - 370, November 2013. https://doi.org/10.32917/hmj/1389102580

Information

Published: November 2013
First available in Project Euclid: 7 January 2014

zbMATH: 1347.37056
MathSciNet: MR3161322
Digital Object Identifier: 10.32917/hmj/1389102580

Subjects:
Primary: 137D35
Secondary: 37C20, 37C40

Rights: Copyright © 2013 Hiroshima University, Mathematics Program

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Vol.43 • No. 3 • November 2013
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