Ergodic Theory: Probability and Ergodic Theory Workshops, February 15-18, 2007, Februrary 14-17, 2008, University of North Carolina, Chapel Hill

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Idris Assani
American Mathematical Soc., 2009 - Mathematics - 162 pages
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This book contains papers written by participants at the two Chapel Hill Ergodic Theory Workshops organized in February 2007 and 2008. The topics covered by these papers help to illustrate the interaction between ergodic theory and related fields such as harmonic analysis, number and probability theories.
 

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Contents

Injectivity of the DubinsFreedman construction of random distributions
1
A maximal inequality for the tail of the bilinear HardyLittlewood function
7
Almost sure convergence of weighted sums of independent random variables
13
Recurrence ergodicity and invariant measures for cocycles over a rotation
45
Examples of recurrent or transient stationary walks in Rd over a rotation of T2
71
A short proof of the unique ergodicity of horocyclic flows
85
Diffraction for sets of finite local complexity
91
Laws of iterated logarithm for weighted sums of iid random variables
113
Homeomorphic Bernoulli trial measures and ergodic theory
131
Distinguishing transformations by averaging methods
143
Some open problems
159
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