Mathematical Research Letters

Volume 14, Issue 5, September 2007 pp. 721-730.

Generic expanding maps without absolutely continuous invariant $\sigma$-finite measure

Authors: Artur Avila (1) and Jairo Bochi (2)
Author institution: Université Pierre et Marie Curie (1) and Universidade Federal do Rio Grande do Sul (2)

Summary: We show that a $C^1$-generic expanding map of the circle has no absolutely continuous invariant $\sigma$-finite measure.

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