The inverse spectral theory of discrete Schrodinger operators
Organizer: Wencai Liu
Description: Two central problems
Uniqueness: Can the partial information both in the spectrum and the potential determine the potential?
Algorithm: What is the algorithm to recover the remaining potential from spectral data?
Project 1
Ambarzumian type problems with mixed data.
Assistant: Burak Hatinoglu
Time: April 2020-August 2020
Participated undergraduate students. Alejandra Puente, Sithija Manage, Jerik Eakins, Lucille Lamb, William Frendreiss
Outcome: A research paper, Ambarzumian-type problems for discrete Schrödinger operators. Complex Anal. Oper. Theory 15 (2021), no. 8, Paper No. 118, 13 pp. Arxiv version
Project 2
Ambarzumian type problems of long range operators.
Assistants: Burak Hatinoglu and Rodrigo Matos
Time: August 2020-April 2021
Participated undergraduate students: Alejandra Puente, Sithija Manage, Lucille Lamb, William Frendreiss