Events Archive

Mathematical Physics Seminar

Idan Oren (The Weizmann Institute) "Trace Formulas for Large Random d-Regular Graphs"

Tue, Oct 26, 2010, 4:30 pm to 6:30 pm
Trace formulas for d-regular graphs are derived and used to express the spectral density in terms of the periodic walks on the graphs under consideration. The trace formulas depend on a parameter (w) which can be tuned continuously to assign different weights to different periodic orbit contributions.

Simone Warzel (Tech. Univ. Munich) "Extended States in a Lifshitz Tail Regime for Random Operators on Trees"

Tue, Oct 12, 2010, 4:30 pm to 6:30 pm
We will discuss the spectral properties of random operators on regular tree graphs. The models have have been among the earliest studied for Anderson localization, and they continue to attract attention because of analogies with localization issues for many particles. The talk will focus on the location of the mobility edge.