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Lyapunov spectrum for multimodal maps

Published online by Cambridge University Press:  19 March 2015

KATRIN GELFERT ,
FELIKS PRZYTYCKI  and
MICHAŁ RAMS
KATRIN GELFERT
Affiliation:
Instituto de Matemática, Universidade Federal do Rio de Janeiro, Cidade Universitária – Ilha do Fundão, Rio de Janeiro 21945-909, Brazil email [email protected]
FELIKS PRZYTYCKI
Affiliation:
Institute of Mathematics, Polish Academy of Sciences, ul. Śniadeckich 8, 00-956 Warszawa, Poland email [email protected], [email protected]
MICHAŁ RAMS
Affiliation:
Institute of Mathematics, Polish Academy of Sciences, ul. Śniadeckich 8, 00-956 Warszawa, Poland email [email protected], [email protected]
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Abstract

We study the dimension spectrum of Lyapunov exponents for multimodal maps of the interval and their generalizations. We also present related results for rational maps on the Riemann sphere.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 36 , Issue 5 , August 2016 , pp. 1441 - 1493
Copyright
© Cambridge University Press, 2015 

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