Dynamical Systems

Block Maps between Primitive Uniform and Pisot Substitutions

Event Date: Nov 25, 2013 in Dynamical Systems, Seminars

Abstract: We prove that for all pairs of primitive Pisot or uniform substitutions with the same dominating eigenvalue, there exists a finite set of block maps such that every block map between the corresponding subshifts is an element of this set, up to a shift. This result is proved using a common generalization of block maps and substitutions, which we call dill maps.  

Playing with Subshifts

Event Date: Nov 25, 2013 in Dynamical Systems, Seminars

Abstract:   We study the class of word-building games, where two players pick letters from afinite alphabet to construct a finite or infinite word. The outcome is determined by whether the resulting word lies in a prescribed set (a win for player A) or not (a win for player B). We focus on symbolic dynamical games, where the target set is a subshift. We investigate the relation between the target subshift and the set of turn orders for which A has a winning strategy.

An almost-additive ergodic theorem on amenable groups & Fiber-mixing codes and factors of Gibbs measures for subshifts of finite type

Event Date: Dec 17, 2012 in Dynamical Systems, Seminars

Un grupo nilpotente universal de C1 difeomorfismo del intervalo

Event Date: Apr 16, 2012 in Dynamical Systems, Seminars

Introduction to diffraction Theory

Event Date: Mar 13, 2012 in Dynamical Systems, Seminars

Heisenberg Odometers: Structure and Spectra.

Event Date: Jan 09, 2012 in Dynamical Systems, Seminars

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