#### Upcoming talks:

29 V | Tobias Oertel-Jäger [ONLINE MEETING] Topological Dynamics of Irregular Model Sets Show abstract Join Zoom Meeting
https://us02web.zoom.us/j/73048832386?pwd=b0NqT0xrQldiZ096VjdmUkJvV0QzZz09
Meeting ID: 730 4883 2386
Password: 011464
Model sets have been introduced by Yves Meyer in 1972. As
the underlying cut and project schemes present a quite general method
to construct aperiodic point-sets with long-range order, they are
often studied in the theory of mathematical quasicrystals. At the same
time, they present an interesting class of examples in the context of
topological dynamics.
In this talk, we will concentrate on the dynamics of so-called
irregular model sets, whose dynamics are generally more complicated
and less understood than that of regular models (like the Fibonacci
quasicrystal). We show that the Delone dynamical systems associated to
irregular model sets often show positive entropy, but the construction
also allows for uniquely ergodic zero entropy examples. However,
irregular models sets cannot be tame, which provides a lower bound for
the complexity of their dynamics. |

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The seminar takes place on Fridays

at 10.15-11.45 in the room 1016

of the Jagiellonian University

Department of Mathematics

and Computer Science

(ul. Łojasiewicza 6, Cracow).