- Notes and homeworks from Math 254A: Entropy and Ergodic Theory (UCLA fall quarter 2017)

Concentration of measure

- Sketch notes on concentration of measure for tutorial lectures at Quantitative Linear Algebra program at IPAM, UCLA, March 2018.

Exchangeable random variables and related extremal combinatorics, spin glasses

- For the `Conference on Graphs and Analysis', Institute for Advanced Study, June 2012:
- "Exchangeable random arrays". Supplementary notes, corrected version of June 11th, 2012
- "Mean field models for spin glasses". Supplementary notes, corrected version of June 11th, 2012

- For the `Workshop on Limit Theorems in Probability', January 2013. These were originally labelled as being for ISI, Bangalore. That was a typo: they were actually delivered at the Indian Institute of Science.

Ergodic theory: multiple recurrence and related arithmetic combinatorics

- Slides for `Trends in Dynamics', Northwestern, May 2011:
- "Multiple recurrence and joining rigidity" (Slides from Trends in Dynamics, Northwestern, May 2011)

Cohomology of groups, topological algebra

- Slides for `Ergodic Theory with Connections to Arithmetic', University of Heraklion, June 2013:
- "Partial difference equations over compact Abelian groups" (Notes slightly modified to reflect subsequent development)

- "On the geometry of a class of invariant measures and a problem of Aldous" (2008)
- "Razborov flag algebras as algebras of measurable functions" (2008)
- "A counterexample in von Neumann algebra dynamics" (2008): pdf.
- "Entropy and Probability Theory" (2007): pdf. These notes were written to accompany a talk to sixth-form students at Winchester College (UK).

Tim Austin,

Math Sciences Building, office 6232

UCLA Mathematics Department, Box 951555, Los Angeles CA 90095-1555, U.S.A.

tim AT math DOT ucla DOT edu