Chaire Jean-Morlet
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CIRM - Jean-Morlet Chair

Mariusz LEMANCZYK & Sebastien FERENCZI

Ergodic Theory and its Connections with Arithmetic and Combinatorics 

Théorie ergodique et ses connexions avec l'arithmétique et la combinatoire 
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2016 - Semester 2
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SMALL GROUP
Spectral Theory of Dynamical Systems and Related Topics (1637)
Théorie spectrale des systèmes dynamiques et sujets reliés.
Dates: 10-14 October 2016 at CIRM (Marseille Luminy, France)
SCHEDULE
ABSTRACTS
PARTICIPANTS

DESCRIPTION
This meeting is aimed at the recent progress in the spectral theory and joinings of dynamical systems, especially, in the recent spectacular progress toward the solutions of some unsolved classical problems of ergodic theory: Rokhlin problem on mixing of all orders, stability of spectral properties under smooth changes for the parabolic systems, the Banach problem on the existence of dynamical systems with simple Lebesgue spectrum and the problem of spectral multiplicity. 
SCIENTIFIC & ORGANIZING COMMITTEE
  • Alexander Bufetov (CNRS, Aix-Marseille Université)
  • Sébastien Ferenczi (CNRS, Aix-Marseille Université)
  • Joanna Kułaga-Przymus (Nicolaus Copernicus University Torun)
  • Mariusz Lemańczyk (Nicolaus Copernicus University Torun & Aix-Marseille Université)
  • Arnaldo Nogueira (Aix-Marseille Université)
SPEAKERS
  • Jon Aaronson (Tel-Aviv University)
Ergodic properties of step function skew products and the asymptotics of affine random walks
  • e.H. el Abdalaoui (Université de Rouen Normandie)
On the Erdös flat polynomials problem
  • Oleg Ageev (Moscow State University)
On k-fold lebesgue functions
  • Jean-Pierre Conze (Université de Rennes 1)
Role of r-mixing in martingale methods for limit theorems in algebraic Nd-actions
  • Alexandre I. Danilenko (National Academy of Sciences Ukraine)
Furstenberg entropy values for nonsingular actions of groups without property (T) 
  • Bassam Fayad (CNRS, IMJ-PRG)
Lebesgue spectrum for area preserving flows on the two torus
  • Livio Flaminio (Université de Lille 1)
Approximate orthogonality of powers for ergodic affine unipotent diffeomorphisms on nil manifolds
  • Krzysztof Frączek (Nicolaus Copernicus University Torun)
On ergodicity in periodic systems of Eaton lenses
  • ​Eli Glasner (Tel-Aviv University)
The structure of tame minimal dynamical systems for general groups
  • Maryam Hosseini (IPM Tehran)
Ordered Groups and Spectrum of Cantor Minimal Systems
  • Arnaldo Nogueira (Aix-Marseille Université)
Topological dynamics of piecewise-affine maps of the interval
  • Emmanuel Roy (Université Paris 13)
Poisson suspensions that are disjoint from Gaussian systems
  • Lucia D. Simonelli (ICTP Trieste)
Absolutely Continuous Spectrum for Parabolic Flows/Maps
  • Anton Solomko (University of Bristol)
On rank and isomorphism problem for von Neumann flows with one discontinuiny
  • Jean-Paul Thouvenot (UMPC Paris)
On relative spectral theory
  • Rafael Tiedra de Aldecoa (Pontifical Catholic University of Chile)
Degree, mixing, and absolutely continuous spectrum of cocycles with values in compact Lie groups
  • Sergey Tikhonov (Plekhanov Russian University of Economics)
Spectra of mixing transformations
  • Corinna Ulcigrai (University of Bristol)
Multiple mixing and Ratner property in mininal components of locally Hamiltonian flows

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