12:00 pm Friday, January 28, 2011
Stulken Geometry-Analysis Seminar: Universal Occurrence of Localization in Continuous Random Schrödinger Operators
by
Abel Klein (UC Irvine) in HB 427
We will discuss a proof of a strong form of localization at the bottom of the spectrum for continuous Anderson Hamiltonians with non-degenerate single site probability distribution of bounded support, without any additional condition on the single site probability distribution. This strong form of localization includes Anderson localization (pure point spectrum with exponentially decaying eigenfunctions), dynamical localization (no spreading of wave packets under the time evolution), and log-Holder continuity of the integrated density of states. Host Department: Rice University-Mathematics
Submitted by damanik@rice.edu |
