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Contents of PMS, Vol. 27, Fasc. 1,
pages 139 - 149
 

AN ERDÖS-RÉNYI LAW FOR MIXING PROCESSES

Manfred Denker
Zakhar Kabluchko

Abstract: We prove a large deviation type result for y -mixing processes and derive an ergodic version of the Erdös-Rényi law. The result applies to expanding and Gibbs-Markov dynamical systems, including Gibbs measures and continued fractions.

2000 AMS Mathematics Subject Classification: 37A50, 60F15, 60F10, 37A05, 28D05.

Key words and phrases: Erdös-Rényi law, large deviation, Gibbs-Markov map.

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