Description This activity is part of a two-week event consisting of

Week 1: School and Workshop on Mixing and Control (16 - 20 September)
Week 2: School and Workshop on Random Matrix Theory and Point Processes
                (23 - 27 September)

To participate in both activities you need to submit two distinct applications.
Week 1:  Please click on the link "Apply here" on the left hand-side column
Week 2:  Please apply at: http://indico.ictp.it/event/8900/
 
DEADLINE for requesting participation for both weeks:  15 MAY 2019

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Organizers:
A. Agrachev, SISSA, Trieste
A. Bufetov, Marseille & Steklov Institute
T. Grava, SISSA & Bristol
A. Guionnet, ENS Lyon
S. Kuksin, Paris & Shandong University

Local Organizer:
S. Luzzatto, ICTP, Trieste

The topics to be discussed at the activity are at the forefront of current research in Random Matrix Theory, Point Processes, Dynamical Systems and Control Theory.

One of the main goals of the School and Workshop is to bring this material to both established and young mathematicians from all developing countries. Mini courses will be given as well as more advanced reserach seminars.

The activity will be organized as two thematic weeks on interrelated topics. Each week will consist of one or two mini courses and some seminar speakers.

Week 1: Mixing and Control
Mixing and control central topic is the study, with the help of the mathematical control theory, of ergodic and mixing properties of dynamical systems stochastically perturbed by a very degenerate noise. This concerns the systems governed by nonlinear PDEs and ODEs. We also plan to discuss mathematical aspects of the non-equilibrium statistical physics and some other topics.

Week 2: Random Matrix Theory and Point Processes
The second week will focus on point processes arising in the study of random matrices such as determinantal point processes. These point processes satisfy the Kolmogorov 0-1 Law and the Central Limit Theorem of Soshnikov, are rigid in the sense of Ghosh and Peres and obey an analogue of the De Finetti Theorem. Palm-Khintchine theory for our point processs will be emphasized, as well as the connection with the theory of integrable systems. Numerous open problems will be discussed, in particular, those related to pfaffian point processes.

Topics:
  • Point process;
  • Random matrices;
  • Integrable probability;
  • Integrable systems;
  • Mixing;
  • Stationary measure;
  • Markov systems;
  • Nonholonomic constraints;
  • Controllability;

Lecturers:
A. Agrachev, SISSA, Trieste
A. Bufetov, Marseille & Steklov Institute
A. Guionnet, ENS Lyon
S. Kuksin, Paris & Shandong University

Speakers:
F. Augeri, Weizmann, Israel
F. Baudoin, Purdue Univ.
C. Bordenave, Toulose, France
U. Boscain, CNRS, Sorbonne Univ.
A. Bufetov, MIT
M. Cafasso, Angers, France
*I. Corwin, Columbia University
N. Cuneo, University Paris-Diderot
A. de Bouard, Ecole Polytechnique
A. Debussche, ENS Rennes
A. Dymov, Steklov Insitute, Moscow
J-P. Eckmann, University of Geneva
*L. Erdoes, Wien, Austria
N. Glatt-Holtz, Tulane University
H. Guan, Tsinghua University
V. Jaksitch, McGill University
I. Krasovsky, Imperial College
M. Krishnapur, Bangalore, India
*A. Kupiainen, University of Helsinki
K. Mc Laughlin, Colorado State University
V. Nersesyan, University of Versailles
P. Nikitin, Steklov, St. Petersburg
G. Olshanski, ITP, RAS, Russia
S. Peche, LPSM, Paris, France
Y. Qiu, CNRS, France
A. Ramirez, Pontificia Universidad Catolica de Chile
R. Raquepas, University Grenoble Alpes (Institut Fourier)
T. Sasamoto, Chiba, Japan
M. Shcherbina, Kharkov, Ukraina
A. Shirikyan, Cergy-Pontoise
N. Tzvetkov, University of Cergy Pontoise
A. Veselov, Loughbourogh University
*H-T. Yau, Harvard

* to be confirmed
Go to day
  • Monday, 16 September 2019
    • 08:30 - 09:15 REGISTRATION & ADMINISTRATIVE FORMALITIES
    • 09:15 - 09:30 OPENING SESSION
    • 09:30 - 14:30 Session 1
      • 09:30 Mixing for nonlinear PDEs, perturbed by bounded random forces - I 1h30'
        Speaker: Sergei KUKSIN (Universite' Paris-Diderot, France)
        Material: Abstract
      • 11:00 Break 30'
      • 11:30 Introduction to Geometri Control Theory - I 1h30'
        Speaker: Andrei AGRACHEV (SISSA, Trieste, Italy)
        Material: Abstract
      • 13:00 Lunch break 1h30'
    • 14:30 - 18:00 Session 2
      • 14:30 Mixing for nonlinear PDEs, perturbed by bounded random forces - II 1h30'
        Speaker: Sergei KUKSIN
      • 16:00 Break 30'
      • 16:30 Introduction to Geometric Control Theory - II 1h30'
        Speaker: Andrei AGRACHEV
  • Tuesday, 17 September 2019
    • 09:00 - 14:00 Session 3
      • 09:00 A Review of Heat Transport in Hamiltonian Systems - I 1h30'
        Speaker: Jean-Pierre ECKMANN (University of Geneva, Switzerland)
      • 10:30 Break 30'
      • 11:00 Introduction to Geometric Control Theory - III 1h30'
        Speaker: Andrei AGRACHEV
      • 12:30 Lunch break 1h30'
    • 14:00 - 16:30 Session 4
      • 14:00 Mixing for nonlinear PDEs, perturbed by bounded random forces - III 1h30'
        Speaker: Sergei KUKSIN
      • 15:30 Break 30'
      • 16:00 TBC 30'
    • 16:30 - 17:30 Session 5
      COLLOQUIUM - Jean-Pierre ECKMANN (University of Geneva, Switzerland)
      Optics, Vision and Evolution after Mitchell Feigenbaum 1944-2019
      
      (Light refreshments will be served after the talk)
      Material: Abstract poster
  • Wednesday, 18 September 2019
    • 09:00 - 14:00 Session 6
      • 09:00 Introduction to Geometric Control Theory - IV 1h30'
        Speaker: Andrei AGRACHEV
      • 10:30 Break 30'
      • 11:00 Mixing for nonlinear PDEs, perturbed by bounded random forces - IV 1h30'
        Speaker: Sergei KUKSIN
      • 12:30 Lunch break 1h30'
    • 14:00 - 17:30 Session 7
      • 14:00 A Review of Heat Transport in Hamiltonian Systems - II 1h10'
        Speaker: Jean-Pierre ECKMANN
      • 15:10 A Controllability Approach to SDEs Driven by Degenerate Noises and Applications to Networks of Oscillators 1h10'
        Speaker: Renaud RAQUEPAS (Universite' Grenoble-Alpes, France)
        Material: Abstract
      • 16:20 On the Growth of Sobolev Norms of a Stochastic CGL Equation with Arbitrary Space Dimension 1h10'
        Speaker: Guan HUANG (Tsinghua University, Beijing, PRC)
        Material: Abstract
    • 18:30 - 21:30 Session 8
      RECEPTION 
      to be held in the CAFETERIA
  • Thursday, 19 September 2019
    • 09:00 - 14:00 Session 9
      • 09:00 Stochastic areas and windings 1h0'
        Speaker: Fabrice BAUDOIN (University of Conneticut, U.S.A.)
        Material: Abstract Slides
      • 10:00 Break 10'
      • 10:10 Heat and Schroedinger Evolution on Degenerate Riemannian Structures 1h10'
        Speaker: Ugo BOSCAIN (Universite Pierre et Marie Curie, Paris, France)
      • 11:20 Control theory and large deviation principles for PDEs 1h10'
        Speaker: Armen SHIRIKYAN (University of Cergy-Pontoise, France)
      • 12:30 Lunch break 1h30'
    • 14:00 - 17:20 Session 10
      • 14:00 Stochastic Gross Pitaevskii Equation and Invariant Measure 1h0'
        Speaker: Anne de BOUARD (CMAP, Ecole Polytechnique, Palaisseau, France)
      • 15:00 Break 10'
      • 15:10 On the Zakharov-L'vov Stochastic Model for Wave Turbulence 1h0'
        Speaker: Andrey DYMOV (Steklov Mathematical Institute, Moscow, Russia)
      • 16:10 Break 10'
      • 16:20 Stabilization of Nonlinear Systems by Oscillating Controls with Application to Nonholonomic and Fluid Dynamics 1h0'
        Speaker: Alexander ZUYEV (MPI, Magdeburg, Germany)
        Material: Slides
  • Friday, 20 September 2019
    • 08:00 - 13:40 Session 11
      • 09:00 Simultaneous Control of Ensembles of Dynamical Systems 1h0'
        Speaker: Andrey SARYCHEV (University of Bonn, Germany)
        Material: Abstract
      • 10:00 Ergodicity for the Randomly Forced Navier-Stokes System in a Two-Dimensional Unbounded Domain 1h0'
        Speaker: Vahagn NERSESYAN (UVSQ, Versailles, France)
      • 11:00 Break 30'
      • 11:30 Solving the 4NLS with White Noise Initial Data 1h0'
        Speaker: Nikolay TZVETKOV (University of Cergy-Pontoise, France)
      • 12:30 Invariants States in Stochastically Forced Boussinesq Equations 1h0'
        Speaker: Juraj FOLDES (University of Virginia, U.S.A.)
      • 13:30 CLOSING SESSION 10'
        For Participants only 
        The Certificate of Attendance can be collected at the Info Point desk in the lobby