11 to 15 May 2015
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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 equations. 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. Here is a complete list of speakers and titles Here are some abstracts Here is the schedule Here is a link to the official CIRM website for the conference. |
Organizers
Carlangelo Liverani (Universita di Roma) Ian Melbourne (University of Warwick) Stefano Olla (Université Paris Dauphine) Grigorios Pavliotis (Imperial College London) Participants Romain Aimino (Universita di Roma) José Alves (University of Porto) Ismaël Bailleul (University of Rennes) Viviane Baladi (Ecole Normale Supérieure) Péter Bálint (Budapest University) Giada Basile (Universita di Roma) Cédric Bernadin (University of Nice) Ahmed Boughammoura (University of Monastir) Oliver Butterley (University of Vienna) Rémi Catellier (University of Rennes) Mark Demers (Fairfield University) Jacopo De Simoi (University of Toronto) Andrew Duncan (Imperial College London) Peyman Eslami (Universita di Roma) Peter Friz (Technical University of Berlin) Georg Gottwald (University of Sydney) Massimiliano Gubinelli (Université Paris Dauphine) Andy Hammerlindl (Monash University) David Kelly (Courant Institute) Yuri Kifer (University of Jerusalem) Tomasz Komorowski (Maria Curie Sklodowska University) Leonid Koralov (University of Maryland) Alexey Korepanov (University of Warwick) Zemer Kosloff (University of Warwick) Florestan Martin-Baillon (ENS Paris) Peter Nandori (Courant Institute) James Okuma (Institutes of Human Virology) Etienne Pardoux (Aix-Marseille Université) Françoise Pène (University of Brest) Christophe Poquet (Universita di Roma) Aldo Rampioni (Springer) Luc Rey-Bellet (University of Massachussetts) Lenya Ryzhik (Stanford University) Takis Souganidis (University of Chicago) Mikko Stenlund (University of Helsinki) Dmitry Todorov (Ecole Normale Supérieure) Imre Péter Tóth (Budapest University) Paulo Varandas (University of Bahia) Denis Volk (Universita di Roma) |
