Quasicrystals from the point of view of additive combinatorics

Jakub Konieczny

12-Mar-2021, 09:15-10:45 (3 years ago)

Abstract: We show that some results in additive combinatorics can be translated into corresponding results that are relevant to the mathematical theory of quasicrystals. Specifically, we will use the Freiman–Ruzsa theorem, characterising finite sets with bounded doubling, to obtain an alternative proof of a characterisation of Meyer sets, that is, relatively dense subsets of Euclidean spaces whose difference sets are uniformly discrete.

dynamical systems

Audience: researchers in the topic


Dynamical systems seminar at the Jagiellonian University

Organizers: Dominik Kwietniak, Roman Srzednicki, Klaudiusz Wójcik
Curator: Marcin Kulczycki*
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