4:00 pm Wednesday, November 10, 2010
Stulken Geometry-Analysis Seminar: A Classical Approximation Point of View on Some Results in the Spectral Theory of Jacobi Matrices
by Mira Shamis (Institute for Advanced Study) in HB 227
Deift-Simon and Poltoratskii-Remling proved upper bounds on the measure of the absolutely continuous spectrum of Jacobi matrices. Using methods of classical approximation theory, we give a new proof of their results, and generalize them in several ways. First, we prove a sharper inequality taking the distribution of the values of the potential into account. Second, we prove a generalization of a "local" inequality of Deift-Simon to the non-ergodic setting. Based on joint work with Sasha Sodin. Host Department: Rice University-Mathematics
Submitted by damanik@rice.edu |
