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  1. 3 Colloquium Mathematicum

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  1. 3 de la Rue T.

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  1. 1 2005

  2. 1 2004

  3. 1 2000

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1
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Sur la cohomologie dans les schémas de Bernoulli

100%
de la Rue T.
Colloquium Mathematicum
|
2000
|
tom 84/85
|
nr 1
23-28
EN
We introduce an invariant of cohomology in Bernoulli shifts, which is used to answer a question about cohomology of Hölder functions with finitary functions whose coding time is integrable. When restricted to the class of Hölder functions, this invariant even provides a criterion of cohomology.
2
Content available remote

An extension which is relatively twofold mixing but not threefold mixing

100%
de la Rue T.
Colloquium Mathematicum
|
2004
|
tom 101
|
nr 2
271-277
EN
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.
3
Content available remote

Sur les processus quasi-Markoviens et certains de leurs facteurs

100%
de la Rue T.
Colloquium Mathematicum
|
2005
|
tom 103
|
nr 2
215-230
EN
We study a class of stationary finite state processes, called quasi-Markovian, including in particular the processes whose law is a Gibbs measure as defined by Bowen. We show that, if a factor with integrable coding time of a quasi-Markovian process is maximal in entropy, then this factor splits off, which means that it admits a Bernoulli shift as an independent complement. If it is not maximal in entropy, then we can find a splitting finite extension of this factor, which generalizes a theorem of Rahe. In particular, this result applies to a factor of a hyperbolic automorphism of the torus generated by a partition which is regular enough.
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