Abstract
AbstractWe give a sufficient condition for a unimodal map of the interval to have an invariant measure absolutely continuous with respect to the Lebesgue measure. Apart from some weak regularity assumptions, the condition requires positivity of the forward and backward Liapunov exponent of the critical point.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics
Reference13 articles.
1. Applications conservant une mesure absolument continue par rapport àdx sur [0, 1]
2. On combinations of stochastic and deterministic processes;Ulam;Bull. Amer. Math. Soc.,1947
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