Localisation

Adresse

Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
3 place Victor Hugo
Case 19
13331 Marseille Cedex 3

Alexander • BUFETOV
Directeur de Recherche (DR) • Affiliation : Centre National Recherche Scientifique (CNRS)
Site : Luminy • Bureau : R 309 • Etage du bureau : 3 •

2016-2021 ERC IChaos / 2016-2017 Gabriel Lamé Chair / 2015-2016 Sofia Kovalevskaya Prize, Honorary professor of the Russian Academy of Sciences

Groupe(s) scientifiques(s) de l'utilisateur :
Thématiques scientifiques :
  • Analyse harmonique
  • Logique
  • Probabilités
  • Systèmes dynamiques mesurés
  • Systèmes dynamiques géométriques
  • Systèmes dynamiques symboliques
  • Théorie géométrique des groupes
  • Théorie des opérateurs
  • Théorie de la représentation

 

Publications HAL

2022/11 A determinantal point process governed by an integrable projection kernel is Giambelli compatible

2022/11 Generalized fusible numbers and their ordinals

2022/11 Fluctuations of the process of moduli for the Ginibre and hyperbolic ensembles

2022/11 Irrational rotation dynamics for unimodal maps

2022/11 Self-similarity and spectral theory: on the spectrum of substitutions

2022/11 The conditional measures for the determinantal point process with the Bergman kernel

2022/03 Geometric And Functional AnalysisThe Patterson-Sullivan Reconstruction of Pluriharmonic Functions for Determinantal Point Processes on Complex Hyperbolic Spaces

2021/11 On singular substitution ${\mathbb Z}$-actions

2020/11 Journal d’analyse mathématiqueA spectral cocycle for substitution systems and translation flows

2020/01 Conditional measures for Pfaffian point processes: conditioning on a bounded domain

2020/01 A hierarchy of Palm measures for determinantal point processes with gamma kernels

2020/01 H\”older regularity for the spectrum of translation flows

2020/01 The sine-process has excess one

2019/04 On the Rate of Convergence in the Central Limit Theorem for Linear Statistics of Gaussian, Laguerre, and Jacobi Ensembles

2019/04 Patterson-Sullivan measures for point processes and the reconstruction of harmonic functions

2019/04 Convergence of spherical averages for actions of Fuchsian Groups

2019/04 On Number Rigidity for Pfaffian Point Processes

2019/04 Bulletin of the London Mathematical SocietyDivision subspaces and integrable kernels

2019/04 Journal of the Mathematical Society of JapanThe logarithmic derivative for point processes with equivalent Palm measures

2018/01 Probability Theory and Related FieldsEQUIVALENCE OF PALM MEASURES FOR DETERMINANTAL POINT PROCESSES GOVERNED BY BERGMAN KERNELS

2018/01 Mathematische AnnalenJ-Hermitian determinantal point processes: balanced rigidity and balanced Palm equivalence

2018/01 Bulletin de la société mathématique de FranceOn ergodic averages for parabolic product flows

2018/01 Ergodic Theory and Dynamical SystemsLinear rigidity of stationary stochastic processes

2017/05 Proceedings of the Steklov Institute of MathematicsA Palm Hierarchy for Determinantal Point Processes with the Bessel Kernel

2017/01 Compositio MathematicaErgodic measures on spaces of infinite matrices over non-Archimedean locally compact fields

2017/01 Proceedings of the Japan Academy. Series A: Mathematical SciencesQuasi-symmetries and rigidity for determinantal point processes associated with de Branges spaces

2017/01 Journal of Functional AnalysisConditional measures of generalized Ginibre point processes

2017/01 Communications in Mathematical PhysicsDeterminantal point processes associated with Hilbert spaces of holomorphic functions

2016/12 Kernels of conditional determinantal measures

2016/10 Arkiv för MatematikThe explicit formulae for scaling limits in the ergodic decomposition of infinite Pickrell measures

2016/08 Conditional measures of generalized Ginibre point processes

2016/05 Conditional measures of determinantal point processes

2016/04 Bulletin of Mathematical SciencesRigidity of Determinantal Point Processes with the Airy, the Bessel and the Gamma Kernel

2016/02 Journal of the London Mathematical SocietyOn Hoelder-continuity of Oseledets subspaces

2016/01 Linear rigidity of stationary stochastic processes

2016/01 Geometriae DedicataMean convergence of Markovian spherical averages for measure-preserving actions of the free group

2016/01 Izvestiya: MathematicsInfinite determinantal measures and the ergodic decomposition of infinite Pickrell measures. II. Convergence of infinite determinantal measures

2014/01 Annales de l’Institut FourierFiniteness of ergodic unitarily invariant measures on spaces of infinite matrices

2014/01 Annales Scientifiques de l’École Normale SupérieureLIMIT THEOREMS FOR HOROCYCLE FLOWS

2014/01 Proceedings of the London Mathematical SocietyDEVIATION OF ERGODIC AVERAGES FOR SUBSTITUTION DYNAMICAL SYSTEMS WITH EIGENVALUES OF MODULUS ONE

2014/01 Moscow Mathematical JournalFinitely-additive measures on the asymptotic foliations of a Markov compactum

2014/01 Annals of MathematicsLimit theorems for translation flows

2014/01 Sbornik: MathematicsErgodic decomposition for measures quasi-invariant under a Borel action of an inductively compact group

2013/12 INFINITE DETERMINANTAL MEASURES AND THE ERGODIC DECOMPOSITION OF INFINITE PICKRELL MEASURES

2013/05 On the modulus of continuity for spectral measures in substitution dynamics

2013/01 Electronic Research Announcements in Mathematical SciencesInfinite determinantal measures

2013/01 Journal of Statistical PhysicsEntropy and the Shannon-McMillan-Breiman Theorem for Beta Random Matrix Ensembles

2013/01 Communications in Mathematical PhysicsLimit Theorems for Self-Similar Tilings

2012/01 International Mathematics Research NoticesCesàro convergence of spherical averages for measure-preserving actions of Markov semigroups and groups

2012/01 Geometric And Functional AnalysisOn the Vershik–Kerov Conjecture Concerning the Shannon–McMillan–Breiman Theorem for the Plancherel Family of Measures on the Space of Young Diagrams

2011/09 Duke Mathematical JournalLattice Point Asymptotics and Volume Growth on Teichmüller Space

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