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pro vyhledávání: '"A, Janvresse"'
We prove a Central Limit Theorem for probability measures defined via the variation of the sum-of-digits function, in base $b\ge 2$. For $r\ge 0$ and $d \in \mathbb{Z}$, we consider $\mu^{(r)}(d)$ as the density of integers $n\in \mathbb{N}$ for whic
Externí odkaz:
http://arxiv.org/abs/2111.05030
In this paper we study splittings of a Poisson point process which are equivariant under a conservative transformation. We show that, if the Cartesian powers of this transformation are all ergodic, the only ergodic splitting is the obvious one, that
Externí odkaz:
http://arxiv.org/abs/1811.08174
We construct an infinite-measure preserving version of Chacon transformation, and prove that it has a property similar to Minimal Self-Joinings in finite measure: its Cartesian powers have as few invariant Radon measures as possible.
Externí odkaz:
http://arxiv.org/abs/1709.04292
Akademický článek
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Publikováno v:
The Annals of Probability, 2020 May 01. 48(3), 1266-1285.
Externí odkaz:
https://www.jstor.org/stable/26922948
In this paper, we prove that ergodic point processes with moments of all orders, driven by particular infinite measure preserving transformations, have to be a superposition of shifted Poisson processes. This rigidity result has a lot of implications
Externí odkaz:
http://arxiv.org/abs/1509.07802
We describe all boundedly finite measures which are invariant by Cartesian powers of an infinite measure preserving version of Chacon transformation. All such ergodic measures are products of so-called diagonal measures, which are measures generalizi
Externí odkaz:
http://arxiv.org/abs/1505.08033
We derive a practical standardness criterion for the filtration generated by a monotonic Markov process. This criterion is applied to show standardness of some adic filtrations.
Externí odkaz:
http://arxiv.org/abs/1501.02166
Publikováno v:
Ergod. Th. Dynam. Sys. 35 (2015) 128-141
We completely describe the weak closure of the powers of the Koopman operator associated to Chacon's classical automorphism. We show that weak limits of these powers are the ortho-projector to constants and an explicit family of polynomials. As a con
Externí odkaz:
http://arxiv.org/abs/1301.2904
Autor:
Coutet, Julien, Doche, Emmanuel, Guetard, Romain, Janvresse, Aurelien, Lavagne, Suzel, Lebosse, Pierre, Pastre, Antonin, Sarlotte, Michel, Moreau, Christian, Marc, François, Bayle, Franck
Publikováno v:
In Microelectronics Reliability September 2019 100-101