06.06.2023, 15 Uhr
Phenomena in High Dimensions
Pierre Youssef (New York University, Abu Dhabi)
Tatjana Eisner (Leipzig), Tobias Jäger (Jena)
15:30 Tobias Jäger (Jena) "Model sets and Toeplitz flows"
Tatjana Eisner (Leipzig) "Ergodic theorems"
Originally motivated by physics, ergodic theorems have found applications in many areas of mathematics such as dynamical systems, number theory, stochastics, functional analysis etc. We present some generalisations of the classical ergodic theorems and discuss recent developments in this area.
Tobias Jäger (Jena) "Model sets and Toeplitz flows"
Toeplitz flows are symbolic dynamical systems which have played an important role in the development of abstract ergodic theory and topological dynamics. They have been used, amongst other things, to provide first examples of 'exotic' combinations of dynamical properties. Model sets form one of the major classes of mathematical models of quasicrystals. We shall describe a previously unknown connection between these two prominent and well-studied classes of dynamical systems, namely Toeplitz flows and Delone dynamical systems arising from model sets.