Mathematisches Kolloquium

Zusammenfassung: Mathematical diffraction theory is concerned with the determination of the diffraction image of a given structure and the corresponding inverse problem of structure determination. In recent years, the understanding of systems with continuous and mixed spectra has improved considerably. Moreover, the phenomenon of homometry shows various unexpected new facets. This is particularly so when systems with stochastic components are taken into account. This talk (which addresses a general mathematical audience) introduces reviews some of the recent results, with focus on concrete examples, and is mainly based on joint work with U. Grimm and R.V. Moody. After a brief motivation, we discuss classic deterministic examples with singular continuous and with absolutely continuous spectra, and compare the latter with dynamical systems of algebraic origin and with random systems. In particular, we present an isospectral family of structures with continuously varying entropy.

Alle Interessierten sind hiermit herzlich eingeladen. Eine halbe Stunde vor dem Vortrag gibt es Kaffee und Tee im Sozialraum (Raum 448) im 4. Stock.

Treffpunkt zum Abendessen um 18.00 Uhr wird noch bekannt gegeben.