Thierry de la Rue
Publications
Publications
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Confined Poisson extensionsDiscrete and Continuous Dynamical Systems - Series A, 2026, 46, pp.433-453. ⟨10.3934/dcds.2025106⟩ |
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Furstenberg systems of pretentious and MRT multiplicative functionsErgodic Theory and Dynamical Systems, 2025, 45 (9), pp.2765-2844. ⟨10.1017/etds.2024.140⟩ |
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Joining properties of automorphisms disjoint with all ergodic systemsErgodic Theory and Dynamical Systems, 2025, 45 (7), pp.1998-2022. ⟨10.1017/etds.2024.129⟩ |
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A central limit theorem for the variation of the sum of digitsAnnales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2024, 60 (2), pp.1125 - 1149. ⟨10.48550/arXiv.2111.05030⟩ |
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Illustration de la loi de BenfordLa Gazette de la Société mathématique de France, 2024, Numéro Spécial "Ateliers clefs en main", pp.88-89 |
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Retrouver les nombres de Fibonacci dans la natureLa Gazette de la Société mathématique de France, 2024, Numéro spécial "Ateliers Clefs en main", pp.26-30 |
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AnamorphosesLa Gazette de la Société mathématique de France, 2024, Numéro spécial "Ateliers Clefs en main", pp.59-62 |
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Estimation de $\pi$ à l'aide des aiguilles de BuffonLa Gazette de la Société mathématique de France, 2024, Numéro Spécial "Ateliers clefs en main", pp.86-87 |
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Atelier découverte autour du triangle de PascalLa Gazette de la Société mathématique de France, 2024, Numéro spécial «Ateliers clefs en main», pp.39-42 |
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On arithmetic functions orthogonal to deterministic sequencesAdvances in Mathematics, 2023, 428, pp.109138. ⟨10.48550/arXiv.2105.11737⟩ |
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La vraie nature du nombre d'orThe Conversation France, 2022 |
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L'incroyable statistique des premiers chiffresThe Conversation France, 2022 |
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Classification of Backward Filtrations and Factor Filtrations: Examples from Cellular AutomataErgodic Theory and Dynamical Systems, 2022, 42 (9), pp.2890 - 2922. ⟨10.1017/etds.2021.76⟩ |
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Product of two staircase rank one transformations that is not loosely BernoulliJournal d'analyse mathématique, 2021, ⟨10.1007/s11854-021-0162-7⟩ |
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On Furstenberg systems of aperiodic multiplicative functions of Matomaki, Radziwill and TaoJournal of modern dynamics, 2021, 17, pp.529-555. ⟨10.3934/jmd.2021018⟩ |
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On typicality of translation flows which are disjoint with their inverseJournal of the Institute of Mathematics of Jussieu, 2020, 19 (5), pp.1677-1737. ⟨10.1017/S1474748018000531⟩ |
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Ergodic Poisson SplittingsThe Annals of Probability, 2020, 48 (3), pp.1266-1285. ⟨10.1214/19-AOP1390⟩ |
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Nearly finite Chacon TransformationAnnales Henri Lebesgue, 2019, 2, pp.369-414. ⟨10.5802/ahl.21⟩ |
Qu’est-ce que la théorie ergodique?Images des mathématiques, 2018, ⟨10.60868/dd62-cb18⟩ |
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Möbius disjointness for models of an ergodic system and beyondIsrael Journal of Mathematics, 2018, 228 (2), pp.707-751. ⟨10.1007/s11856-018-1784-z⟩ |
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Invariant measures for Cartesian powers of Chacon infinite transformationIsrael Journal of Mathematics, 2018, 224, pp.1-37. ⟨10.1007/s11856-018-1634-z⟩ |
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Poisson suspensions and SushisAnnales Scientifiques de l'École Normale Supérieure, 2017, 50 (6), pp.1301-1334. ⟨10.24033/asens.2646⟩ |
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Automorphisms with quasi-discrete spectrum, multiplicative functions and average orthogonality along short intervalsInternational Mathematics Research Notices, 2017, 2017 (14), pp.4350-4368 |
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The Chowla and the Sarnak conjectures from ergodic theory point of viewDiscrete and Continuous Dynamical Systems - Series A, 2017, 37 (6), pp.2899-2944 |
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Standardness of monotonic Markov filtrationsMarkov Processes And Related Fields, 2016, 22 (4), pp.697-736 |
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La fonction de Möbius à la rencontre des systèmes dynamiquesGazette des Mathématiciens, 2016, 150, pp.31-40 |
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Weak limits of powers of Chacon's automorphismErgodic Theory and Dynamical Systems, 2015, 35, pp.128-141 |
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On spectral disjointness of powers for rank-one transformations and Möbius orthogonalityJournal of Functional Analysis, 2014, 266 (1), pp.284-317. ⟨10.1016/j.jfa.2013.09.005⟩ |
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A dynamical point of view on the set of B-free integersInternational Mathematics Research Notices, 2014, pp.doi: 10.1093/imrn/rnu164. ⟨10.1093/imrn/rnu164⟩ |
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Dynamics of lambda-continued fractions and beta-shiftsDiscrete and Continuous Dynamical Systems - Series A, 2013, 33 (4), pp.1477-1498 |
Comparison of heterogeneity quantification algorithms for brain SPECT perfusion images.European Journal of Nuclear Medicine and Molecular Imaging, 2012, 2 (1), pp.40 |
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Averaging along Uniform Random IntegersUniform Distribution Theory, 2012, 7 (2), pp.35-60 |
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Zero Krengel Entropy does not kill Poisson EntropyAnnales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2012, 48 (2), pp.368-376. ⟨10.1214/10-AIHP393⟩ |
Brain perfusion heterogeneity measurement based on Random Walk algorithm : Choice and influence of inner parameters.Computerized Medical Imaging and Graphics, 2010, 34 (4), pp.289-297 |
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Almost-sure Growth Rate of Generalized Random Fibonacci sequencesAnnales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2010, 46 (1), pp.135-158. ⟨10.1214/09-AIHP312⟩ |
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Poisson suspensions and entropy for infinite transformationsTransactions of the American Mathematical Society, 2010, 362, pp. 3069-3094 |
Brain perfusion heterogeneity measurement based on Random Walk algorithm: Choice and influence of inner parameters.Computerized Medical Imaging and Graphics, 2009, epub ahead of print. ⟨10.1016/j.compmedimag.2009.11.006⟩ |
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Growth rate for the expected value of a generalized random Fibonacci sequenceJournal of Physics A: Mathematical and Theoretical, 2009, 42, pp.085005. ⟨10.1088/1751-8113/42/8/085005⟩ |
Pavages aléatoires par touillage de dominos.Images des mathématiques, 2009, En ligne, URL : http://images.math.cnrs.fr/Pavages-aleatoires-par-touillage.html |
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A Class of pairwise-independent JoiningsErgodic Theory and Dynamical Systems, 2008, 28 (5), pp.1545-1557. ⟨10.1017/S0143385707000958⟩ |
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How to clean a dirty floor: Probabilistic potential theory and the Dobrushin uniqueness theoremMarkov Processes And Related Fields, 2008, 14, pp.1-78 |
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 / Journal of Computer-Assisted Tomography, 2008, 32 (4), pp.651-659 |
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Development and validation of the random walk algorithm : application to the classification of diffuse heterogeneity in brain spect perfusion imagesJournal of Computer Assisted Tomography, 2008, pp.651-9 |
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How do random Fibonacci sequences grow?Probability Theory and Related Fields, 2008, Volume 142 (3-4), pp.619-648. ⟨10.1007/s00440-007-0117-7⟩ |
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 / Journal of Computer-Assisted Tomography, 2008, 32 (4), pp.651-9. ⟨10.1097/RCT.0b013e31814fae48⟩ |
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2-fold and 3-fold mixing: why 3-dot-type counterexamples are impossible in one dimensionBulletin of the Brazilian Mathematical Society, 2006, 37 (4), pp.503-521 |
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An introduction to joinings in ergodic theoryDiscrete and Continuous Dynamical Systems - Series S, 2006, 15, n°1, pp.121-142 |
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A note on domino shufflingThe Electronic Journal of Combinatorics, 2006, 13 (1), pp.R30 |
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Pinning by a sparse potentialStochastic Processes and their Applications, 2005, 115, pp.1323-1331 |
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Self-Similar Corrections to the Ergodic Theorem for the Pascal-Adic TransformationStochastics and Dynamics, 2005, 5, pp.1-25. ⟨10.1142/S0219493705001250⟩ |
The Pascal Adic Transformation is Loosely BernoulliAnnales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2004, 40, pp.133-139 |
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From Uniform Distributions to Benford's LawJournal of Applied Probability, 2004, 41, pp.1203-1210 |
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An extension which is relatively twofold mixing but not threefold mixingColloquium Mathematicum, 2004, 101, pp.271-277 |
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Weak disjointness of measure preserving dynamical systemsErgodic Theory and Dynamical Systems, 2003, 23 (4), pp. 1173 - 1198. ⟨10.1017/S0143385702001505⟩ |
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A note on Sarnak processes2024 |
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On orthogonality to uniquely ergodic systems2024 |
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Notes on Austin's multiple ergodic theorem2009 |
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Transposition game2009 |
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Weak mixing of maps with bounded cutting parameter2005 |
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Les probabilités n’existent pas… mais on vous explique quand même comment vous en servir2021 |
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Joinings in Ergodic TheoryEncyclopedia of Complexity and Systems Science, 2020, 978-3-642-27737-5. ⟨10.1007/978-3-642-27737-5_300-2⟩ |
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Dynamical Systems of Probabilistic Origin: Gaussian and Poisson SystemsEncyclopedia of Complexity and Systems Science, 2020, 978-3-642-27737-5. ⟨10.1007/978-3-642-27737-5_725-1⟩ |
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Around King's Rank-One theorems: Flows and Z^n-actionsDynamical Systems and Group Actions, AMS, pp.143-161, 2012, Contemporary Mathematics, vol 567, 978-0-8218-6922-2. ⟨10.1090/conm/567⟩ |
Joinings in Ergodic TheoryMeyers, Robert A. Encyclopedia of Complexity and Systems Science, Springer, 2009 |
Comparison of 7 methods for heterogeneity quantification of brain SPECT perfusion images54th annual meeting, Jun 2007, Washington, United States |
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Comparaison de 7 méthodes de quantification de l'hétérogénéité diffuse de la perfusion cérébrale en SPECT45ème colloque de Médecine Nucléaire, Sep 2007, Bordeaux, France |
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Quelques résultats sur les systèmes dynamiques gaussiens réelsProbabilités [math.PR]. Université de Rouen, France, 1994. Français. ⟨NNT : ⟩ |