Trends in Dynamics

Title: Limit Distributions for Horocycle Flows
Speaker: Giovanni Forni
Speaker Info: University of Maryland
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We prove limit theorems for horocycle flows on compact surfaces of constant negative curvature. The argument is based on the construction of a special family of horocycle-invariant finitely additive Hoelder measures on rectifiable arcs. An asymptotic formula for time integrals for horocycle flows is obtained in terms of the finitely-additive measures, and limit theorems follow as a corollary of the asymptotic formula. This is joint work with A. Bufetov.
Date: Friday, April 29, 2011
Time: 11:20am-12:10pm
Where: Hardin Hall, Rebecca Crown Center, 633 Clark Street, Downstairs
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