Expository notes and essays

This page carries an a collection of informal expository notes I have written at various times, either for myself or for use in some other context. More elaborate or up-to-date work is carried on my research page.

1. "A counterexample in von Neumann algebra dynamics" (2008): pdf.
2. "Entropy and Probability Theory" (2007): pdf. These notes were written to accompany a talk to sixth-form students at Winchester College (UK).
3. "Entropy and Sinai's Theorem" (2006): pdf. These notes were written loosely to accompany a pair of graduate seminars at UCLA.
4. "Phase transitions" (2005): pdf
5. "Spectral measures without the spectrum" (2004): pdf
6. "On coordinate-permutation-invariant signed Radon measures on Cartesian powers of compact Hausdorff spaces: a look at de Finetti's theorem" (2003): pdf

Tim Austin, Department of Mathematics, University of California at Los Angeles, CA 90095, U.S.A.
timaustin AT math DOT ucla DOT edu
August 2008