Mathematical Physics and Harmonic Analysis Seminar

Date: March 8, 2019

Time: 1:50PM - 2:50PM

Location: BLOC 628

Speaker: Dr. Selim Sukhtaiev, Rice University

Title: Localization for Anderson Models on Metric and Discrete Tree Graphs

Abstract: In this talk I will discuss spectral and dynamical localization for several Anderson models on metric and discrete radial trees. The localization results are obtained on compact intervals contained in the complement of discrete sets of exceptional energies. All results are proved under the minimal hypothesis on the type of disorder: the random variables generating the trees assume at least two distinct values. This level of generality, in particular, allows us to treat radial trees with disordered geometry as well as Schr\"odinger operators with Bernoulli-type singular potentials. This is based on joint work with D. Damanik and J. Fillman. JOINT WITH THE GROUPS AND DYNAMICS SEMINAR