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math.DS2016
Criteria of Divergence Almost Everywhere in Ergodic Theory
Michel Weber
In this expository paper, we survey nowadays classical tools or criteria used in problems of convergence everywhere to build counterexamples: the Stein continuity principle, Bourga…
math.DS2014
Ergodic theorems with arithmetical weights
Christophe Cuny, Michel Weber
We prove that the divisor function counting the number of divisors of the integer , is a good weighting function for the pointwise ergodic theorem. For any measurable dyn…
math.DS2008
On an identity of Ky Fan
Michel Weber
We give several applications of an identity for sums of weakly stationary sequences due to Ky Fan.