Workshop on Dynamical Systems and Aperiodic Order
Bielefeld University, Germany
14th - 17th March 2011
All talks take place in Room V3-201 ("Common Room") in the Bielefeld
University main building.
Click here for
a description of the main building.
Tower systems for linearly repetitive Delone sets
José Aliste-Prieto
Abstract:
Tower systems are a way of generalizing classical Kakutani
Rohlin partitions to the dynamical systems generated by delone sets
and tilings. In this talk, we show, following Benedetti, Bellissard
and Gambaudo, how to construct tower systems for linearly repetitve
Delone sets and show that the associated transition matrices
are uniformly bounded in size and norm. Finally, we discuss
applications of this construction.
This is joint work with D. Coronel
from PUC of Chile.
(Back to Program)