Several writing projects are under way, prompted by teaching at UW-Madison. By clicking on the titles below you can find the texts currently ready. If you use them for class purposes I would appreciate knowing. Comments are welcome. Support from the National Science Foundation and the Wisconsin Alumni Research Foundation is gratefully acknowledged.
Notes on elementary probability, intended for quick review for Math 632 Introduction to Stochastic Processes.
Notes on a martingale approach to Markov chain central limit theorems. This is a presentation of a Markov chain CLT derived with the approach of Maxwell and Woodroofe.
A Course on Large Deviations with an Introduction to Gibbs Measures. This is a graduate textbook on large deviation theory and some statistical mechanics, co-authored with Firas Rassoul-Agha and published by the American Mathematical Society 2015. Errata.