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• W2949082300 abstract "We study skew-products of the form (x,omega)mapsto (Tx, omega+phi(x)) where T is a nonuniformly expanding map on a space X, preserving a (possibly singular) probability measure tildemu, and phi:Xto S^1 is a C^1 function. Under mild assumptions on tildemu and phi, we prove that such a map is exponentially mixing, and satisfies the central and local limit theorems. These results apply to a random walk related to the Farey sequence, thereby answering a question of Guivarc'h and Raugi." @default.
• W2949082300 created "2019-06-27" @default.
• W2949082300 creator A5033190149 @default.
• W2949082300 date "2007-03-22" @default.
• W2949082300 modified "2023-10-03" @default.
• W2949082300 title "Local limit theorem for nonuniformly partially hyperbolic skew-products, and Farey sequences" @default.
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• W2949082300 hasPublicationYear "2007" @default.
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