#### Upcoming talks:

27 XI | Till Hausner (FSU Jena) Show abstract In this talk we study different notions of entropy for
Delone sets of finite local complexity in the setting of (metrizable
and sigma-compact) locally compact Abelian groups (LCA groups).
For Delone sets of finite local complexity (FLC) in the euclidean
space it is well known that the patch counting entropy equals the
topological entropy of an associated shift system. We present an
example of a FLC Delone set in a LCA group for which the topological
entropy and the patch counting entropy are not equal.
It was suggested by J. Lagarias for FLC Delone sets in the euclidean
space that the patch counting entropy can always be computed as a
limit. We discuss why the Ornstein-Weiss lemma can not directly be
used in order to see this claim and present that the correspondence
between the topological and the patch counting entropy can be used in
order to show that the limit in the patch counting entropy formula
exists for compactly generated LCA groups. We present counterexamples
where the limit does not exist in the context of general LCA groups. |

Show rest

4 XII | Chrisian Wolf (CUNY) |

11 XII | Mike Todd (St. Andrews) |

The seminar takes place on Fridays

at 10.15-11.45 CET (GMT+1) in the room 1016

of the Jagiellonian University

Department of Mathematics

and Computer Science

(ul. Łojasiewicza 6, Cracow).