SCIENTIFIC ORGANIZERS
H. Broer (Groningen)
P.F. Tupper (McGill)
INVITED SPEAKERS
Nawaf BouRabee (California Institute of Technology)
Stephan De Bièvre (Université des Sciences et Technologies de Lille)
Antonio Giorgilli (Università degli Studi di Milano)
Wayne Hayes (California, Irvine)
Igor Mezic (UCSB)
Michael Shub (Toronto)
Carles Simo (Barcelona)
Robert D. Skeel (Purdue)
Aernout van Enter (Groningen)
Thematic Semester on
Applied Dynamical Systems
JuneDecember 2007
In statistical physics the dynamical systems defined by the mechanics of large system of interacting particles is often assumed to be ergodic. Ergodicity for Hamiltonian systems means (roughly) that all points in phase space are equally likely to be visited by most trajectories of the system. However, this appears to be contradicted by results in the theory of Hamiltonian systems that imply that ergodicity is not a generic property. Much work has gone into contriving sufficient conditions for a Hamiltonian system to be ergodic. Unfortunately, Hamiltonian systems that arise in applications almost never satisfy these conditions. This workshop will investigate what is true of the ergodic properties of flows arising from these systems. Question we will address are:
