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math.PR2004
An extension which is relatively twofold mixing but not threefold mixing
Thierry De La Rue
We give an example of a dynamical system which is mixing relative to one of its factors, but for which relative mixing of order three does not hold.
math.PR2004★ 13 cited
Self-Similar Corrections to the Ergodic Theorem for the Pascal-Adic Transformation
Elise Janvresse, Thierry de la Rue, Yvan Velenik
Let T be the Pascal-adic transformation. For any measurable function g, we consider the corrections to the ergodic theorem sum_{k=0}^{j-1} g(T^k x) - j/l sum_{k=0}^{l-1} g(T^k x).…