Cohomological equations on dynamical systems arising from Delone sets.

Series
Math Physics Seminar
Time
Thursday, April 15, 2010 - 2:05pm for 1 hour (actually 50 minutes)
Location
Skiles 269
Speaker
Dr Alvaro Daniel Coronel – Facultad de Matematicas, Pontificia Universidad Catolica de Chile, Santiago, Chile – acoronel@mat.puc.cl – http://www.mat.puc.cl/personas/postdoc
Organizer
Jean Bellissard

Please Note: The speaker is visiting Georgia Tech for the full week. His office will be Skiles 133A.

This talk concerns aperiodic repetitive Delone sets and the dynamical systems associated with them. A typical example of an aperiodic repetitive Delone set is given by the set of vertices of the Penrose tiling. We show that natural questions concerning aperiodic repetitive Delone sets are reduced to the study of some cohomological equations on the associated dynamical systems. Using the formalism of tower systems introduced by Bellissard, Benedetti, and Gambaudo, we will study the problem about the existence of solution of these cohomological equations.