Assistant 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. 1999 University of California, Berkeley
B.S. 1993 University of Chicago
Research: Probability and Stochastic Processes. In particular, Markov chains, random walks, and related potential theory.
Book: Markov Chains and Mixing Times (with E. Wilmer and Y. Peres)
Publications and Preprints
An Extreme-Value Analysis of the LIL for Brownian Motion (with D. Khoshnevisan and Z. Shi), Elec. Comm. Probab.
Capacities in Wiener Space, Quasi-Sure Lower Functions, and Kolmogorov's ε-entropy (with D. Khoshnevesian and P. Mendez), submitted.
Exceptional Times and Invariance for Dynamical Random Walks (with D. Khoshnevesian and P. Mendez), to appear 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), to appear 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