Seminario di Logica e Informatica Teorica: Mathematical models for quasicrystals and expansions in non-integer bases

Anna Chiara Lai (Università di Roma La Sapienza)
06/06/2014 - 11:00
Dipartimento di Matematica e Fisica, Università Roma Tre, Aula 311 (“aula dei seminari”) edificio C (“Matematica”), largo San Leonardo Murialdo 1

Quasicrystals are ordered crystalline structures with no translational
symmetries. A quasicrystalline alloy was first observed by Shechtman in early
80's, for which he was awarded with the Nobel prize in Chemistry in 2011.

The mathematical characterization of quasicrystals is a challenging open
problem which attracted an increasing interest of researchers due to its
possible applications to several scientific fields, including photonic

We overview classical mathematical models for quasicrystals. A particular
attention will be given to one of the largest known class of mathematical
quasicrystals, the Meyer sets, and their relation with expansions in
non-integer bases.