Thematic Program on
Dynamical Systems
 School of Mathematics, IPM,
 February - May, 2017

School of Mathematics
 & Topology

Practical Information  

GT Seminar


Andres Navas  (Universidad de Santiago de Chile)
Title: On a geometric property of quasi-periodic tilings.


Roughly, a Delone set is the set of vertices of a tiling using pieces that "do not degenerate" in form. Formally, it is a uniformly separated and coarsely dense subset of the plane.

A natural question raised by Gromov and Furstenberg was answered in the negative by Burago-Kleiner and McMullen: there exist Delone sets that are not bi-Lipschitz equivalent to the standard lattice. In this talk, we will show that such sets can be even made "repetitive", which means that they are the vertices of a quasi-periodic tiling. Nevertheless, we will see that this cannot be the case for "Isfahan like tilings" (as the Penrose one): for all of these, there are even bi-Lipschitz homeomorphisms of the plane sending the Delone set into the standard lattice.

Date &
Wednesday, Feb. 8, 2017, 15:30-17:00

Lecture Hall 1,
IPM Niavaran Building,
Niavaran Square, Tehran

School of Mathematics,
IPM - Institute for Research in Fundamental Sciences
Niavaran Building, Niavaran Square, Tehran, Iran
Tel: +98 21 222 90 928