UCD School of Mathematics and Statistics Seminars

E. Mihailescu (Romanian Academy)

will speak on

Ergodic and geometric properties for systems with overlaps

Time: 4:15PM
Date: Tue 27th September 2016
Location: [map]

Abstract: I will present several recent results in the dynamics and ergodic theory of smooth transformations and their invariant probability measures on fractals with overlaps. Among the classes of maps considered there are hyperbolic endomorphisms, iterated function systems with overlaps, and maps on projective spaces. In this context we study the dimensions of these fractals and of the equilibrium measures supported on them, and some connections with exact dimensionality and 1-sided Bernoullicity.

(This talk is part of the Analysis series.)

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