Averaging and Homogenization in Deterministic and Stochastic Systems
May 11 -15, 2015
The main objective of this workshop is to make advances on the analysis of systems with multiple time scales and the interplay between the deterministic and stochastic aspects of such systems.  Such a theory is important in a variety of engineering and scientific applications with multiple time scales, including climate modelling, meteorology, molecular dynamics and non-equilibrium statistical mechanics.  The importance is due to the reduction from a generally high dimensional setting to a lower dimensional system incorporating only the slowest modes.

Whereas averaging leads to a lower dimensional deterministic system, fluctuations from averaging and homogenization leads to a lower dimensional stochastic differential equation.  Classically, the starting equations have been taken to be stochastic and there is a well-developed theory of averaging and homogenization for such systems.  However, the same types of results arise from deterministic chaos.  In the case of homogenization, there are interesting connections with the longstanding question of smooth approximation of stochastic integrals (after Wong-Zakai) and links with Lyons’ theory of rough paths.

The current situation is that three related strands of research (i) averaging and homogenization for stochastic systems, (ii) averaging and fluctuations from averaging in deterministic systems, and (iii) homogenization for deterministic systems, have been developing separately.  The purpose of the proposed workshop is to share ideas and promote interaction between these three strands, leading to significant advances.  Hence we aim at bringing together international experts from both stochastic analysis and dynamical systems, to share and advance the state of knowledge concerning multiscale systems.  Also we intend to have several young participants to facilitate the input of new energies in this exciting field of research.

Scientific & Organizing Committee

Carlangelo Liverani (University of Rome)
Ian Melbourne (University of Warwick)
Stefano Olla (Université Paris-Dauphine)
Grigorios Pavliotis (Imperial College London)


  • Ismaël Bailleul (Université de Rennes 1) 
    Rough Flows and Homogenization of Fast-Slow Systems
  • Viviane Baladi (ENS Paris)
    Linear Response: a Survey of Rigorous Results
  • Giada Basile (Sapienza University of Rome)
    Stationary Temperature Profile in One Dimensional Chains of Oscillators
  • Cédric Bernardin (Université Nice Sophia-Antipolis)
    3/4 Fractional Superdiffusion of Energy in a Harmonic Chain with Bulk Noise
  • Jacopo De Simoi (University of Maryland)
  • Mark Demers (Fairfield University)
  • Peter Friz (TU Berlin)
    Some Examples of Homogenization Related Rough Paths
  • Massimiliano Gubinelli (Université Paris Dauphine)
    Pathwise Regularisation by Noise in PDEs
  • David Kelly (University of North Carolina)
    Fast Slow Systems with Chaotic Noise
  • Yuri Kifer (University of Jerusalem)
    An Almost Sure View of Averaging
  • Tomasz Komorowski (Maria Curie Skłodowska University, Lublin) 
    Energy Transport in an Infinite Chain of Harmonic Oscillators with a Degenerate Noise
  • Leonid Koralov (University of Maryland)
    Averaging, Homogenization, and Large Deviation Results for the Study of Randomly Perturbed Dynamical Systems
  • Alexey Korepanov (Warwick University)
    Perturbed Fast-Slow Systems
  • Peter Nandori (New York University)
    Local Thermal Equilibrium for Certain Stochastic Models of Heat Transport
  • Etienne Pardoux (Aix-Marseille Université)
    Semilinear Heat Equation with Highly Oscillating Random Potential
  • Luc Rey-Bellet (University of Massachusetts)
    Some Applications of Irreversibility
  • Lenya Ryzhik (Stanford University)
    Radiative Transport and Homogenization for the Random Schroedinger Equation
  • Mikko Stenlund (University of Helsinki)
    Quasistatic Dynamical Systems
  • Imre Peter Toth (Budapest University)
    Averaging in a Heat Conduction Model with Collisions of Disks and Pistons