Weak Chaos, Infinite Ergodic Theory, and Anomalous Dynamics

Seminar — July 25 - 29 and August 8 - 12, 2011
Workshop — August 1 - 5, 2011

Scientific Coordinators:
Rainer Klages (Queen Mary University of London, UK)
Roland Zweimüller (University of Surrey, UK)
Eli Barkai (Bar Ilan University, Israel)
Holger Kantz (MPIPKS Dresden, Germany)

The announcement's pdf-file
(Please note that this online announcement is subject to recent updates and therefore not identical to the printed poster whose pdf-file you can find under the link above, which was distributed some time ago. The online announcement reflects the state of the art.)

Organisation:
Katrin Lantsch (MPIPKS Dresden, Germany)

Scope:
Weak chaos refers to systems exhibiting zero Lyapunov exponents, meaning that the separation of nearby trajectories is weaker than exponential. Still, the dynamics is typically very irregular. Rigorous mathematical results about such systems have recently been obtained by infinite ergodic theory, which is an extension of ordinary ergodic theory to dynamical systems with non-normalizable measures. These theoretical concepts predict novel nonequilibrium physical properties in form of anomalous dynamics, which can be tested in experiments.
The purpose of this conference is to initiate cross-disciplinary collaborations between physicists working on both the deterministic and the stochastic aspects of weakly chaotic systems and anomalous dynamics, and mathematicians being active in the relevant branches of dynamical systems and ergodic theory. The workshop will particularly bring together key players in both fields, the seminar will comprise a series of advanced lectures to provide review and training for young scientists, and to serve as a forum for informal discussions.
A detailed description of aims and structure of the event is available here.

Key topics:
Dynamical systems theory of weak chaos: pseudochaos, nonhyperbolic dynamics, entropy concepts for weak chaos, zero Lyapunov exponent, polygonal billiards, weakly chaotic diffusion
Infinite ergodic theory: skew products (dynamically driven random walks), infinite invariant measures, distributional and functional limit theorems, mathematical billiards and Lorentz gas models, entropy, generalized ergodic theorems
Stochastic theory of anomalous dynamics: continuous time random walks, anomalous diffusion, weak ergodicity breaking, fractional calculus, statistics of occupation times, anomalous fluctuation relations
Experimental applications: anomalous statistics of blinking quantum dots, anomalous diffusion of atoms in optical lattices, anomalous biological dynamics, extreme events, detrended fluctuation analysis

Invited speakers:
J. Aaronson (Tel Aviv, IL), Y. Aizawa (Tokyo, JP), E.G.Altmann (Dresden, D), R. Artuso (Como, IT), A. Bunde (Giessen, D), L. Bunimovich (Atlanta, US), S. Burov (Bar-Ilan, IL), A.V. Chechkin (Kharkov, UKR), A. Comtet (Paris, F), G. Cristadoro (Bologna, IT), D. del Castillo-Negrete (San Diego, US), P. Dieterich (Dresden, D), V.Filimonov (Zurich, CH), R.Friedrich (Muenster,D), T. Geisel* (Goettingen, D), S. Gouezel (Rennes, F), P. Haenggi* (Augsburg), P. Howard (Wallingford, UK), G. Keller (Erlangen, D), D. Kessler (Bar-Ilan, IL), Y. Klafter (Tel Aviv, IL), N. Korabel (Bar-Ilan,IL), C.Liverani (Rome, IT), J. Lowenstein (New York, USA), E. Lutz (Augsburg, D), S. Majumdar (Paris, F), I. Melbourne (Guildford, UK), R. Metzler (Munich, D), M.Niemann (Dresden,D), G. Oshanin (Paris, F), T. Prellberg (London, UK), F. Renzoni (London, UK), A. Robledo (Mexico City, MEX), L. Rondoni (Torino, IT), H.P.Scheffler* (Siegen,D), I.M. Sokolov (Berlin, D), D. Szasz (Budapest, HU), M. Thaler* (Salzburg, A), F. Vivaldi (London, UK), A. Vulpiani (Rome, IT), L.-S. Young* (New York)

(* cannot participate)

Applications for participation and poster or oral contributions are welcome and should be made by using the application form on the seminar and workshop's web page. The number of attendees is limited. The registration fee for the event is 120 EUR and should be paid by all participants. Costs for accommodation and meals will be covered by the Max Planck Institute for the Physics of Complex Systems. Limited funding is available to partially cover travel expenses. Please note that childcare is available upon request.

Deadline for applications is March 31, 2011.

For further information please e-mail to:
wchaos11pks.mpg.de