Wylie Assistant Professor

University of Utah

Department of Mathematics, LCB 209

155 S 1400 E RM 233

Salt Lake City, UT, 84112-0090

USA

Email: *username@domain*, where *username = *levin, *domain = *math.utah.edu

My PGP public key

Tel: +1 801 585 1647

FAX: +1 801 581 4148

Beginning fall 2005, I will be assistant professor
in the Department
of Mathematics at the University of
Oregon.

**Research**: Inference for hidden
Markov chains. Probability on graphs (Markov chains
and random walks, percolation). Probabilistic potential theory (heat kernel estimates, Harnack inequalities for jump processes).

**Teaching:**

Fall 2004 - Math 5010 Introduction to Probability

Fall 2004 - Math 1040 Elementary Statistics

Spring 2004 - Math 1050 College Algebra

Spring 2004 - Math 5080 Statistical Inference I

Fall 2003 - Math 3070 Applied Statistics I

Fall 2002 - Math 5040 Stochastic Processes and Simulation I

Spring 2003 - Math 5050 Stochastic Processes and Simulation II

**Preprints**

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

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), submitted.

On the Fundamental Theorem of Card Counting with Application to the game of trente-et-quarante (with S. Ethier), to appear 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), to appear in Random Structures & Algorithms.

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

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

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

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