2018
Jan
23

# Dynamics Lunch

- 2018 Jan 16
- 2018 Jan 09
# Dynamics Lunch: Raimundo Briceno (TAU) "A Breiman type theorem for Gibbs measures"

12:00pm to 1:00pmWe will review a Breiman type theorem for Gibbs measures due to Gurevich and Tempelman. For a translation invariant Gibbs measure on a suitable translation invariant configuration set X \subset S^G, where G is an amenable group and S is a finite set, we will prove the convergence of the Shannon-McMillan-Breiman ratio on a specific subset of "generic" configurations. Provided that the above Gibbs measure exists, we also prove the convergence in the definition of pressure and the fact that this Gibbs measure is an equilibrium state. - 2018 Jan 02
# Dynamics Lunch: Ohad Feldheim (HUJI) "Finitely dependent proper colouring of Z"

12:00pm to 1:00pmAn M-dependent process X(n) on the integers, is a process for which every event concerning with X(-1),X(-2),... is independent from every event concerning with X(M),X(M+1),... Such processes play an important role both as scaling limits of physical systems and as a tool in approximating other processes. A question that has risen independently in several contexts is: "is there an M dependent proper colouring of the integer lattice for some finite M?" - 2017 Dec 26
- 2017 Dec 05
# Dynamics Lunch: Jon Aaronson (TA) "Title: "Classical probability theory" for processes generated by expanding C^2 interval maps via quasicompactness."

12:00pm to 1:00pmAbstract: It was noticed in the 30's by Doeblin & Forte that Markov operators with "chains with complete connections" act quasi-compactly on the Lipschitz functions. These are operators like the transfer operators of certain expanding C^2 interval maps (e.g. the square of Gauss map). It is folklore that stochastic processes generated by smooth observables under these maps satisfy many of the results of "classical probability theory" (e.g. CLT, Chernoff inequality). I'll try to explain some of this in a "lunchtime" mode. - 2017 Nov 28
# Dynamics lunch: Benjy Weiss "Rigidity sequences for weakly mixing transformations"

12:00pm to 1:00pmHere is a title and abstract for the lunch seminar: Rigidity sequences for weakly mixing transformations Abstract: I will present a recent result of Bassam Fayad and Jean-Paul Thouvenot that shows that any rigidty sequence for an irrational rotation is also a rigidity sequence for some weakly mixing transformation. - 2017 Nov 21
- 2017 Nov 14
- 2017 Nov 07