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Fibonacci maps re(aℓ)visited

Published online by Cambridge University Press:  19 September 2008

Gerhard Keller  and
Tomasz Nowicki
Gerhard Keller
Affiliation:
University of Erlangen, FRG
Tomasz Nowicki
Affiliation:
University of Warsaw, Poland†
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Abstract

We prove that unimodal Fibonacci maps with negative Schwarzian derivative and a critical point of order ℓ have a finite absolutely continuous invariant measure if ℓ ∈ (1 ℓ1) where ℓ1 is some number strictly greater than 2. This extends results of Lyubich and Milnor for the case ℓ = 2.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 15 , Issue 1 , February 1995 , pp. 99 - 120
Copyright
Copyright © Cambridge University Press 1995

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