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Ergodic properties and localization for Delone-Anderson models

Presented by: 
C Rojas-Molina Ludwig-Maximilians-Universität München
Thursday 9th April 2015 - 15:30 to 15:55
INI Seminar Room 1
Co-authors: F. Germinet (U. de Cergy-Pontoise) and P. Müller (Ludwig-Maximilians-Universität München)

Delone-Anderson models arise in the study of wave localization in random media, where the underlying configuration of impurities in space is aperiodic, as for example, in disordered quasicrystals. The lack of translation invariance in the model yields a break of ergodicity, and the loss of properties linked to it. In this talk we will present results on the existence of the integrated density of states, the ergodic properties of these models and results on dynamical localization.

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons