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Reading group

Schedule: We meet on Mondays 2--4pm in MATH202, where we go through the chapters in the lecture notes, and on Wednesdays 1--3pm in ESB4127 for extra meetings, where we go through the exercises and discuss the previous presentations.

Speakers for the Fall 2024-2025 term

1. Septermber 9, Daniel de la Riva Massaad -- Section 1

   • https://tbward0.wixsite.com/books/ergodic-theory
   • https://tbward0.wixsite.com/books/entropy
2. Septermber 16, Joshua Renault -- Section 2
3. September 23, Nitya Gadhiwala -- Section 2., cont. and Section 3: refs

   • Cayley graph plotter
   • https://mathweb.ucsd.edu/~asalehig/math200a-18-f-lecture14.pdf
   • https://math.univ-cotedazur.fr/~indira/papers/surveyPS.pdf
   • Martin Barlow's lecture notes
   • Proof of the Milnor-Svarc's lemma, part 1
   • Proof of the Milnor-Svarc's lemma, part 2
4. September 30, holiday
5. October 7, Ray Ng -- Chapter 4
6. October 14, Thanksgiving (holiday)
7. October 21, Mudit Aggarwal -- Chapter 5: refs

   • Cover, Thomas: Elements of Information theory
   • Csiszar, Korner: Information Theory
   • https://www.tcs.tifr.res.in/~jaikumar/Papers/EntropyAndCounting.pdf
   • https://www.cs.princeton.edu/courses/archive/fall11/cos597D
8. October 28, Nitya Gadhiwala -- Chapter 6.1-6.2
9. November 4, Dylan Chaussoy-- Chapter 6.2,6.3,7.1
10. November 11, reading week
11. November 18, Daniel de la Riva Massaad, Chapters 7.2,7.3

    • Markov Chains and Mixing Times, second edition
12. November 25, Daniel de la Riva Massaad, Section 7.4 + Section 8

    • Expander notes
    • More expander notes
13. December 2, Huub de Jong

    • B. Morris and Y. Peres. Evolving sets, mixing and heat kernel bounds. Prob. Th. Rel. Fields 133 (2005), no. 2, 245-266.
    • P. Diaconis and J. A. Fill. Strong stationary times via a new form of duality. Ann. Probab. 18 (1990), 1483-1522.
    • N. Th. Varopoulos. Isoperimetric inequalities and Markov chains. J. Funct. Anal. 63 (1985), 215-239.