Notes
Lecture notes and supplementary readings. Drafts are revised during the quarter; report typos via the “Report an issue” link on any page.
| Title | Topic | Notes |
|---|---|---|
| Linear Algebra Review, Part I | Diagonalization in finite dimensions | Draft. Sections 1 and 2 are the essentials. |
| Linear Algebra Review, Part II | Linear algebra in infinite dimensions | Draft. Hilbert spaces, compact operators, the Laplacian. |
| The Davis–Kahan sin Θ Theorem | Supplement to the linear algebra review | Draft. For the spectral clustering lecture. |
| Random Walks and Their Convergence | Graphs as differential operators, mixing, canonical paths | Notes for Lecture 2 (10/1), with full proofs. |
| Non-Reversible Walks and the Dissipative/Poisson Split | Directed graphs, probability currents, and GENERIC | Draft. For the lecture on directed graphs and non-reversible Markov chains. |
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