AG Mathematische Stochastik : Till Hauser - Pure point diffraction and entropy beyond the euclidean space

Mai 31
31-05-2022 16:15 Uhr bis 18:15 Uhr
 

Pure point diffraction and entropy beyond the euclidean space

Abstract:

For euclidean pure point diffractive Delone sets of finite local complexity
and with uniform patch frequencies it is well known that the patch counting
entropy computed along the closed centred balls is zero. We consider such
sets in the setting of sigma-compact locally compact Abelian groups and show
that the topological entropy of the associated Delone dynamical system is
zero. We furthermore construct counterexamples, which show that the patch
counting entropy of such sets can be non-zero in this context. Other
counterexamples will show that the patch counting entropy of such a set can
not be computed along a limit and even be infinite in this setting.

Raum – 04.363

Friedrich-Alexander-Universität Erlangen-Nürnberg