Zobrazeno 1 - 10 of 42 pro vyhledávání: '"Thierry de la Rue"'
1
Classification of Backward Filtrations and Factor Filtrations: Examples from Cellular Automata
Autor: Paul Lanthier, Thierry de la Rue
Publikováno v: Ergodic Theory and Dynamical Systems
Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP), In press
We consider backward filtrations generated by processes coming from deterministic and probabilistic cellular automata. We prove that these filtrations are standard in the classical sense of Vershik’s theory, but we also study them from another poin
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0e543577e5e2377a233fe7e3893c2cc8
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2
On Furstenberg systems of aperiodic multiplicative functions of Matomaki, Radziwill and Tao
Autor: Thierry de la Rue, Mariusz Lemańczyk, Aleksander Gomilko
Publikováno v: Journal of modern dynamics
Journal of modern dynamics, American Institute of Mathematical Sciences, 2021, 17, pp.529-555. ⟨10.3934/jmd.2021018⟩
It is shown that in a class of counterexamples to Elliott's conjecture by Matomäki, Radziwiłł, and Tao [23] the Chowla conjecture holds along a subsequence.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b3c1229b6b70e60e472649f33a43f81d
http://arxiv.org/abs/2006.09958
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3
Ergodic Poisson splittings
Autor: Emmanuel Roy, Thierry de la Rue, Elise Janvresse
Publikováno v: Ann. Probab. 48, no. 3 (2020), 1266-1285
Annals of Probability
Annals of Probability, Institute of Mathematical Statistics, 2020, 48 (3), pp.1266-1285. ⟨10.1214/19-AOP1390⟩
International audience; 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 i
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f8a2c3f010120cb8c9e282e152483b71
https://projecteuclid.org/euclid.aop/1592359228
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4
Möbius disjointness for models of an ergodic system and beyond
Autor: Joanna Kułaga-Przymus, El Houcein El Abdalaoui, Mariusz Lemańczyk, Thierry de la Rue
Publikováno v: Israël Journal of Mathematics
Israël Journal of Mathematics, Hebrew University Magnes Press, 2018, 228 (2), pp.707-751. ⟨10.1007/s11856-018-1784-z⟩
Israel Journal of Mathematics
Israel Journal of Mathematics, 2018, 228 (2), pp.707-751. ⟨10.1007/s11856-018-1784-z⟩
Given a topological dynamical system $(X,T)$ and an arithmetic function $\boldsymbol{u}\colon\mathbb{N}\to\mathbb{C}$, we study the strong MOMO property (relatively to $\boldsymbol{u}$) which is a strong version of $\boldsymbol{u}$-disjointness with
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::75feace2d173ba44498c99e33fd6384f
https://doi.org/10.1007/s11856-018-1784-z
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5
Dynamical Systems of Probabilistic Origin: Gaussian and Poisson Systems
Autor: Elise Janvresse, Emmanuel Roy, Thierry de la Rue
Publikováno v: Encyclopedia of Complexity and Systems Science
Encyclopedia of Complexity and Systems Science, 2020, 978-3-642-27737-5. ⟨10.1007/978-3-642-27737-5_725-1⟩
Encyclopedia of Complexity and Systems Science ISBN: 9783642277375
International audience
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4f6e88300f5a7c788826a70c76607ec8
https://hal.archives-ouvertes.fr/hal-02451104/file/spo-springer_revision.pdf
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7
Nearly finite Chacon Transformation
Autor: Emmanuel Roy, Elise Janvresse, Thierry de la Rue
Publikováno v: Annales Henri Lebesgue
Annales Henri Lebesgue, UFR de Mathématiques-IRMAR, 2019, 2, pp.369-414. ⟨10.5802/ahl.21⟩
International audience; 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 po
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::40a55b10ce71906c7b192667d74b3f19
https://hal.archives-ouvertes.fr/hal-01586869v2/document
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8
Invariant measures for Cartesian powers of Chacon infinite transformation
Autor: Thierry de la Rue, Elise Janvresse, Emmanuel Roy
Publikováno v: Israël Journal of Mathematics
Israël Journal of Mathematics, Hebrew University Magnes Press, 2018, 224, pp.1-37
International audience; 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
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f7b19b7e33aa2680a5f01d66ea418878
https://hal.archives-ouvertes.fr/hal-01158060v3/document
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9
Automorphisms with quasi-discrete spectrum, multiplicative functions and average orthogonality along short intervals
Autor: Mariusz Lemańczyk, El Houcein El Abdalaoui, Thierry de la Rue
Publikováno v: International Mathematics Research Notices
International Mathematics Research Notices, Oxford University Press (OUP), 2017, 2017 (14), pp.4350-4368
International audience; We show that Sarnak's conjecture on M\"obius disjointness holds in every uniquely ergodic modelof a quasi-discrete spectrum automorphism. A consequence of this result is that, for each non constant polynomial $P\in\R[x]$ with
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f36a68609cbdf6dfba1eff21accd0768
https://hal.archives-ouvertes.fr/hal-01176039
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10
On typicality of translation flows which are disjoint with their inverse
Autor: Krzysztof Frączek, Przemysław Berk, Thierry de la Rue
Publikováno v: Journal of the Institute of Mathematics of Jussieu
Journal of the Institute of Mathematics of Jussieu, Cambridge University Press (CUP), 2020, 19 (5), pp.1677-1737. ⟨10.1017/S1474748018000531⟩
In this paper we prove that the set of translation structures for which the corresponding vertical translation flows are disjoint with its inverse contains a $G_{\unicode[STIX]{x1D6FF}}$-dense subset in every non-hyperelliptic connected component of
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::462c2c7b5ca2f29b212463332bcde704
http://arxiv.org/abs/1703.09111
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