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Non-continuous weakly expanding skew-products of quadratic maps with two positive Lyapunov exponents

Published online by Cambridge University Press:  01 February 2008

DANIEL SCHNELLMANN
DANIEL SCHNELLMANN*
Affiliation:
Royal Institute of Technology (KTH), Department of Mathematics, S-100 44 Stockholm, Sweden (email: dansch@math.kth.se)
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Abstract

We study an extension of the Viana map where the base dynamics is a discontinuous expanding map, and prove the existence of two positive Lyapunov exponents.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 28 , Issue 1 , February 2008 , pp. 245 - 266
Copyright
Copyright © Cambridge University Press 2007

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