Publications
- A central limit theorem for the variation of the sum of digits. Ann. Inst. H. Poincaré Probab. Statist. 60 (2), 1125-1149, 2024. [Article] [HAL] [arXiv]
- On orthogonality to uniquely ergodic systems. 2024. [HAL] [arXiv]
- A note on Sarkak processes. 2024. [HAL] [arXiv]
- Confined Poisson extensions. 2024. [HAL] [arXiv]
- Joining properties of automorphisms disjoint with all ergodic systems. 2023. [HAL] [arXiv]
- Furstenberg systems of pretentious and MRT multiplicative functions. 2023. [HAL] [arXiv]
- On arithmetic functions orthogonal to deterministic sequences. Advances in Mathematics 428, 109138, 2023. [Article] [HAL] [arXiv]
- Dynamical systems of probabilistic origins: Gaussian and Poisson systems. In: Ergodic Theory, Encyclopedia of Complexity and Systems Science Series. Springer New York, p. 217-232, 2023. [Article] [HAL]
- Joinings in ergodic theory. In: Ergodic Theory, Encyclopedia of Complexity and Systems Science Series. Springer New York, p. 149-168, 2023. [Article] [HAL]
- Classification of Backward Filtrations and Factor Filtrations: Examples from Cellular Automata. Ergodic Theory and Dynamical Systems 42, no 9, p. 2890-2922, 2022. [Article] [HAL] [arXiv]
- On Furstenberg systems of aperiodic multiplicative functions of Matomaki, Radziwill and Tao. Journal of Modern Dynamics 17, p. 529-555, 2021. [Article] [HAL] [arXiv]
- Product of two staircase rank one transformations that is not loosely Bernoulli. Adam Kanigowski et Thierry de la Rue. Journal d'Analyse Mathématique 143, p. 535-553, 2021. [Article] [HAL] [arXiv]
- Ergodic Poisson splittings. Annals of Probability 48 (3), p. 1266-1285, 2020. [Article] [HAL] [arXiv]
- On typicality of translation flows which are disjoint with their inverse. Journal of the Institute of Mathematics of Jussieu, 19 (5), p. 1677-1737, 2020. [Article] [arXiv]
- Möbius orthogonality in density for zero entropy dynamical systems. Alexander Gomilko, Mariusz Lemańczyk et Thierry de la Rue. Pure and Applied Functional Analysis 5, no 6, p. 1357-1376, 2020. [Article] [HAL] [arXiv]
- Nearly finite Chacon transformation. Annales Henri Lebesgue 2, p. 369-414, 2019. [Article] [HAL] [arXiv]
- Möbius disjointness for models of an ergodic system and beyond. Israel Journal of Mathematics 228, p. 707-751, 2018. [Article] [arXiv]
- Invariant measures for Cartesian powers of Chacon infinite transformation. Israel Journal of Mathematics 224, p. 1-37, 2018. [Article] [HAL] [arXiv]
- Poisson suspensions and SuShis. Annales Scientifiques de l'École Normale Supérieure 50, no 6, p. 1301-1334, 2017. [Article] [HAL] [arXiv]
- The Chowla and the Sarnak conjectures from ergodic theory point of view. Discrete and Continuous Dynamical Systems. 37, no 6 p. 2899-2944, 2017. [Article] [HAL] [arXiv]
- Automorphisms with quasi-discrete spectrum, multiplicative functions and average orthogonality along short intervals. International Mathematics Research Notices 2017, issue 14 p. 4350–4368, 2017. [Article] [HAL] [arXiv]
- La fonction de Möbius à la rencontre des systèmes dynamiques. La Gazette des Mathématiciens 150 p. 31-40, 2016. [Article] [HAL]
- Standardness of monotonic Markov filtrations. Markov Processes and Related Fields 22, no 4, p. 697-736, 2016. [Article] [HAL] [arXiv]
- Weak limits of powers of Chacon's automorphism. Ergodic Theory and Dynamical Systems 35 p. 128-141, 2015. [Article] [HAL] [arXiv]
- A dynamical point of view on the set of B-free integers. International Mathematics Research Notices 2015, no 16, p. 7258-7286, 2015. [Article] [HAL] [arXiv]
- On spectral disjointness of powers for rank-one transformations and Möbius orthogonality. Journal of Functional Analysis. 266 p. 284-317, 2014. [Article] [HAL] [arXiv]
- La prévision des longues suites de succès. Quadrature. 92 p. 38-42, 2014. [PDF]
- Dynamics of lambda-continued fractions and beta-shifts. Discrete and Continuous Dynamical Systems 33, no 4, p. 1477-1498, 2013. [HAL] [arXiv]
- Averaging along Uniform Random Integers. Uniform Distribution Theory 7, no 2 (2012), p. 61-76. [HAL] [arXiv]
- Zero Krengel Entropy does not kill Poisson Entropy. Annales de l'IHP, Probab. Stat. 48, no2 (2012), p. 368-376. [PDF] [HAL] [arXiv]
- Around King's Rank-One Theorems: Flows and $\mathbb{Z}^n$-Actions. in Contemporary Mathematics 567 (2012), p. 143-161. [HAL] [arXiv]
- Poisson suspensions and entropy for infinite transformations. Tran. Amer. Math. Soc.. 362 (2010), p. 3069-3094. [PDF] [DjVu] [HAL] [arXiv]
- Almost-sure growth rate of generalized random Fibonacci sequences. Annales de l'IHP, Probab. Stat., 46, no1 (2010), p. 135-158. [HAL] [PDF] [arXiv]
- Brain perfusion heterogeneity measurement based on Random Walk algorithm: Choice and influence of inner parameters. Computerized Medical Imaging and Graphics 34, issue 4 (2010), p. 289-297.
- Growth rate for the expected value of a generalized random Fibonacci sequence. J. Phys. A: Math. Theor. 42 (2009), 085005. [PDF] [Accès au Journal]
- Joinings in Ergodic Theory. In Encyclopedia of Complexity and Systems Science (Ed. Robert A. Meyers), Springer, 2009.
- Notes on Austin's multiple ergodic theorem. 2009. [HAL] [arXiv]
- Transposition game. 2009. [HAL] [arXiv]
- A Class of pairwise-independent Joinings. Ergodic Theory and Dynamical Systems. 28 (2008), p. 1545-1557. [PDF] [DjVu]
- How to clean a dirty floor: Probabilistic potential theory and the Dobrushin uniqueness theorem. Markov Processes and Related Fields. 14, no 1 (2008), p. 1-78. [arXiv] [DjVu]
- Development and Validation of the Random Walk Algorithm: Application to the Classification of Diffuse Heterogeneity in Brain SPECT Perfusion Images. Journal of Computer Assisted Tomography 32, issue 4 (2008), p. 651-659. [Abstract]
- How do random Fibonacci sequences grow? Probability Theory and Related Fields. 142, nos 3-4 (2008), p. 619-648. [PDF] [DjVu]
- 2-fold and 3-fold mixing: why 3-dot-type counterexamples are impossible in one dimension. Bulletin of the Brazilian Mathematical Society. 37, no 4 (2006), p. 503-521. [PDF] [DjVu]
- A note on domino shuffling. The Electronic Journal of Combinatorics 13, no 1 (2006). [Accès au Journal] [HAL]
- An introduction to joinings in ergodic theory. Discrete and Continuous Dynamical Systems 15, no 1 (2006), p. 121-142. [PDF]
- Sur les processus quasi-markoviens et certains de leurs facteurs. Colloquium Mathematicum. 103 (2005), p. 215-230. [Résumé] [PDF]
- Weak mixing of maps with bounded cutting parameter. New York Journal of Mathematics. 11 (2005), p. 81-87. [Accès au Journal]
- Pinning by a sparse potential. Stochastic Processes and their Applications. 115 (2005), p. 1323-1331. [PDF]
- Self-Similarity in the Corrections to the Ergodic Theorem for the Pascal-Adic Transformation. Stochastics and Dynamics. 5 (2005), p. 1-25. [Résumé] [PDF] [Exposé] [Exposé avec notes]
- An extension which is relatively twofold mixing but not threefold mixing. Colloquium Mathematicum 101 (2004), p. 271-277. [Résumé] [PDF]
- The Pascal Adic Transformation is Loosely Bernoulli. Annales de l'IHP, Probab. Stat., 40 (2004), p. 133-139. [Résumé] [PDF]
- From Uniform Distribution to Benford's Law. Journal of Applied Probability 41 (2004), p. 1203-1210. [Résumé] [Accès au journal] [PDF]
- Quelques aspects de la théorie ergodique. document de synthèse présenté pour l'Habilitation à Diriger des Recherches, Université de Rouen, mai 2004. [PDF]
- Weak disjointness of measure preserving dynamical systems. Ergodic Theory and Dynamical Systems 23 (2003), p. 1173-1198. [HAL] [Accès au journal]
- Une transformation générique peut être insérée dans un flot. Annales de l'IHP, Probab. Stat., 39 (2003), p. 121-134. [Résumé] [PDF]
- Examples and counterexamples to almost-sure convergence of bilateral martingales. New-York Journal of Mathematics 8 (2002), p. 133-144. [Résumé] [Accès au journal] [PDF]
- Vitesse de dispersion pour une classe de martingales. Annales de l'IHP, Probab. Stat., 38 (2002), p. 465-474. [Résumé] [PDF]
- Sur la cohomologie dans les schémas de Bernoulli. Colloquium Mathematicum 84/85 Part 1 (2000), p. 23-28. [Résumé] [PDF]
- L'ergodicité induit un type spectral maximal équivalent à la mesure de Lebesgue. Annales de l'IHP, Probab. Stat., 34 (1998), p. 249-263. [Résumé] [PDF]
- L'induction ne donne pas toutes les mesures spectrales. Ergodic Theory and Dynamical Systems 18 (1998), p. 1447-1466. [Résumé] [PDF]
- Rang des systèmes dynamiques gaussiens. Israel Journal of Mathematics 104 (1998), p. 261-283. [Résumé] [PDF] [Article]
- Quelques remarques sur les facteurs des systèmes dynamiques gaussiens. Studia Mathematica 125 (1997), p. 247-254. [Résumé] [PDF]
- On the central limit theorem for aperiodic dynamical systems and applications. Theory Probab. Math. Stat. 57 (1998), p. 149-169, et Teor. Jmovirn. Mat. Stat. 57 (1997), p. 140-159.
- Systèmes dynamiques gaussiens d'entropie nulle, lâchement et non lâchement Bernoulli. Ergodic Theory and Dynamical Systems 16 (1996), p. 379-404. (Voir aussi le chapitre III de ma thèse.)
- Mouvement moyen et système dynamique gaussien. Probabability Theory and Related Fields 102 (1995), p. 45-56. (Voir aussi le chapitre II de ma thèse.)
- Entropie d'un système dynamique gaussien : cas d'une action de $\mathbb{Z}^d$. Comptes Rendus de l'Académie des Sciences 317 (1993), p. 1914-194. (Voir aussi le chapitre I de ma thèse.)
- Quelques résultats sur les systèmes dynamiques gaussiens. Thèse de Doctorat soutenue à l'Université de Rouen, juin 1994. [PDF]
- Espaces de Lebesgue. Séminaire de Probabilités XXVII, Lecture Notes in Mathematics 1557 (1993), p. 15-21. [Article]
