Mathematical Physics, Mathematics of Materials Sciences
Recommended Texts or Study Materials
Mathematical physics/Spectral Theory:
Recommended Authors:
- Barry Simon
- Jake Fillman
- Millivoje Lukic
- Rui Han
- Jean Bourgain
- Svetlana Jitomirskaya
- Schlag
- Avila
Foundational Tools/Techniques/Ideas:
Ideas:
- Existence of solutions, and whether or not we can obtain significant spectral information from it.
- Given existence of solutions, what information its propagation speed can tell us about its spectral properties.
Tools:
- From the dynamical point-of-view, how to map the transition phases of certain well-known physical models and their generations; see, Anderson localization.
- Tools from number theory and ergodic theory are often necessary.
Common Advisors and Committee Members
Mathematical physics/Spectral Theory:
| Advisor 1 | Committee Member 1 | Committee Member 2 | Committee Member 3 |
|---|---|---|---|
| Dr. Rui Han | Dr. Fan Yang | Dr. Stephen Shipman | Dr. Daniel Massat |
Previously asked questions
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