13 citations · 13 across the 3 of their papers we have counts for
3 papers
math.DS2005
An introduction to joinings in ergodic theory
Thierry De La Rue
Since their introduction by Furstenberg in 1967, joinings have proved a very powerful tool in ergodic theory. We present here some aspects of the use of joinings in the study of me…
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).…