Ergodic Theory and Dynamical Systems

Research Article

Fibonacci maps re(aℓ)visited

Gerhard Kellera1 and Tomasz Nowickia2

a1 University of Erlangen, FRG

a2 University of Warsaw, Poland


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.

(Received February 10 1993)

(Revised July 02 1993)


† Supported by the DFG.