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1:00 pm Friday, March 30, 2018 Thesis Defense: Isospectral dynamics of reflectionless Jacobi operatorsby Tom VandenBoom, Ph.D. Candidate (Rice University) in Sewall Hall 307- This thesis focuses on the isospectral torus of reflectionless Jacobi operators and the dynamics of its automorphisms. The novel perspective which it hopes to advertise is one of the joint utility of inverse spectral theoretic techniques and dynamical techniques to address direct and inverse spectral problems, respectively. Concretely, we use the former perspective to prove the reducibility of the shift cocycle for certain reflectionless Jacobi operators, and we use the latter perspective to prove spectral atypicality of discrete Schroedinger operators.
Submitted by lpl1@rice.edu |