Associate Professor

Department of Mathematics

Fenton Hall

University of Oregon

Eugene, OR 97403-1221 USA

Email: *username@domain*, where *username = *dlevin, *domain = *uoregon.edu

My PGP public key

Tel:(541) 346-4705

FAX:(541) 346-0987

** Education **

Ph.D. Statistics, 1999, University of California, Berkeley

B.S. Mathematics, 1993 University of Chicago

**Research**: Probability theory and its applications.

Slides from mini-course at Durham Symposium 2017

The Microbial Ecology and Theory of Animals Center for Systems Biology

**Book: **Markov Chains and Mixing Times, second edition
(with Y. Peres and E. Wilmer)

AMS Short Course on Markov Chains and Mixing Times (Jan 2010)

**Publications and Preprints (very out of date, see arXiv for most recent)
**

An Extreme-Value Analysis of the LIL for Brownian Motion (with D. Khoshnevisan and Z. Shi), in Elec. Comm. Probab.

Capacities in Wiener Space, Quasi-Sure Lower Functions, and Kolmogorov's ε-entropy (with D. Khoshnevesian and P. Mendez), in Stochastic Process and Applications.

Exceptional Times and
Invariance for Dynamical Random Walks (with
D. Khoshnevesian and P. Mendez), in *
Prob. Th. Rel. Fields *.

On the Fundamental Theorem of Card Counting with Application to the game of trente-et-quarante (with S. Ethier), in Advances In Applied Probability.

On Dynamical Gaussian Random Walks (with D. Khoshnevesian and P. Mendez), in Annals of Probability.

Identifying Several Biased Coins Encountered by a Hidden Random Walk (with Yuval Peres), in Random Structures & Algorithms.

Continuous and Discontinuous Phase Transitions in Hypergraph Processes (with R.W.R. Darling and James R. Norris), in Random Structures & Algorithms.

Transition Probabilities for
Symmetric Jump Processes (with Richard
Bass), in *Transactions of A.M.S.*

Harnack Inequalities for
Jump Processes (with Richard
Bass), in *J. Potential Analysis*.

A phase transition in
random coin tossing (with Robin
Pemantle and Yuval
Peres), in *Annals of Probability*.

Energy and cutsets in infinite percolation clusters (with Yuval Peres). In *Random Walks and Discrete Potential Theory, Cortona 1997*. Symposia Mathematica, Vol. XXXIX, M. Picardello and W. Woess (editors), Cambridge University Press(1999), 264-278