Am Freitag, 17. Dezember 2010, um 16 Uhr c.t. spricht
im Hörsaal A027 über das Thema
Mathematical diffraction theory of deterministic and stochastic structures
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.
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