1 - 7 January 2012
Thermodynamic Formalism, Geometry and Stochastics - (ID 1201c)
Organisers: B. O. Stratmann (Univ. Bremen) - M. Urbanski (UNT, Denton, US) - A. Zdunik (Univ. Warszawa, Poland)
Participants: K. Baranski, Ch. Dupont, M. Kesseböhmer, V. Mayer, E. Mihailescu, M. Pollicott, F. Przytycki, M. Roy, J. Schmeling, D. Simmons, B. Skorulski, B. Stratmann, H. Sumi, M. Urbanski A. Zdunik, R. Zweimüller
The workshop will be on recent progress in the area of thermodynamic formalism, an area which is central in the theory of dynamical systems. The fundamental ideas, techniques and methods associated with thermodynamic formalism have their origins in the pioneering work of Ruelle, Sinai, Bowen, Dobroushin and others, who from the late sixties until the mid seventies adapted key methods from statistical physics, in particular the theory of gas lattices, to the context of continuous dynamical systems on compact metric spaces. It was also during this period that important concepts such as topological pressure, the variational principle, equilibrium states and Gibbs states made their decisive breakthrough.