Spectral theory of one-dimensional quasicrystals (Daniel Lenz, Friedrich Schiller University Jena)

21.10.2019 16:15

We give an introduction into the field of aperiodic order also known as mathematical quasicrystals.
We then focus on spectral theory of Hamiltonians arising in the quantum mechanical treatment of one-dimensional models.
We explain that these Hamiltonians have a tendency to singular continuous spectrum of Lebesgue measure zero. We will also indicate some recent applications obtained in joined work with Rostislav Grigorchuk, Tatiana Nagnibeda and Daniel Sell.

Lieu

Room 17, Séminaire "Mathématique Physique"

entrée libre