Large derivatives, backward contraction and invariant densities

Speaker(s)

Juan Rivera Letelier

Affiliation

Universidad Catolica del Norte

Date

Oct. 12, 2007, 10:15 a.m.

Room

room 5840

Seminar

Seminar of Dynamical Systems Group

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We will discuss the dynamics of smooth maps of the interval with finitely many non-flat critical points. We will show that if for such a map the derivatives of the iterates are sufficiently large at each critical value (depending on the number of critical points and their orders), then this map posses an abolutely continuous invariant measure. This is a joint work with H. Bruin, W. Shen and S. van Strien.

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