Event № 72
P. W. Anderson in 1958 argued that disorder can cause localization of electron states, which manifests itself in time evolution (non-spreading of wave packets) and vanishing of conductivity. Starting from the early 80's, the topic rapidly became one of the most intensively studied ones in mathematical physics community.
In this talk, we will introduce a new approach for proving localization for the Anderson model at high disorder. In contrast to the usual strategy, we do not study finite volume Green's functions. Instead, we perform a multiscale analysis based on finite volume eigensystems, establishing localization of finite volume eigenfunctions with high probability. (Joint work in progress with A. Klein.)