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.