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12:00 pm Monday, April 23, 2012 Geometry-Analysis Seminar: Ito Diffusion, Modified Capacity, and Harmonic Measure. Applications to Schrödinger Operatorsby
Serguei Denissov (University of Wisconsin at Madison) in HB 227- Motivated by the solution of the multidimensional L^2 conjecture for the Cayley tree we introduce the special Ito equation which defines the probability space on the set of paths escaping to infinity. Then, by studying the corresponding potential theory and modified harmonic measure we relate the geometric properties of the support of potential in the Schrodinger equation to the scattering properties of this operator.
Submitted by damanik@rice.edu |