Ergodic properties and localization for Delone-Anderson models

31 mins 45 secs,  462.07 MB,  MPEG-4 Video  640x360,  29.97 fps,  44100 Hz,  1.94 Mbits/sec
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Description: Rojas-Molina, C (Ludwig-Maximilians-Universität München)
Thursday 09 April 2015, 15:30-15:55
 
Created: 2015-04-13 11:46
Collection: Periodic and Ergodic Spectral Problems
Publisher: Isaac Newton Institute
Copyright: Rojas-Molina, C
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: UCS Default
Trailer: UCS Default
 
Abstract: 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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