Session S06 - Interacting Stochastic Systems

Wednesday, July 14, 12:35 ~ 13:10 UTC-3

Random Schrödinger operators, integrated density of states and localization.

Constanza Rojas-Molina

CY Cergy Paris Universite, France   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

The theory of random Schrödinger operators originated in the late 70s to give a rigorous drescription to the absence of electron propagation in materials with impurities, a phenomenon known as Anderson localization. Since then, this theory has been developed and refined to be applied to different settings and iffernt types of disorder. Despite the fact that Anderson localization as consequence of the disorder present in the medium is well understood by known, some of the original questions remain open.

In this talk, after a brief introduction to the subject of random Schrödinger operators, we will review some recent results and discuss how this theory finds new applications today, motivated by connections to random walks in different settings, as for example, random walks with long jumps or quantum random walks.

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