I am a professor in the Mathematics
Department at

(with Anastasia Raymer) The
mixing time of the fifteen puzzle. Preprint

(with Weiyang
Ning and Yuval Peres) Mixing time of the card-cyclic-to-random
shuffle. To appear in Annals of
Applied Probability. http://arxiv.org/abs/1207.3406

(with Phil Rogaway
and Viet Tung Hoang) An enciphering scheme based on a card
shuffle. CRYPTO 2012 pdf

(with Itai Benjamini and Ori Gurel-Gurevich.) Linear cover time is exponentially unlikely. To appear in PTRF. http://front.math.ucdavis.edu/1011.3118

Improved mixing time bounds for the Thorp shuffle. To appear in Combinatorics, Probability and Computing. http://arxiv.org/abs/0912.2759

(with Steve Evans and Arnab Sen) Coalescing systems of non-Brownian particles. To appear in PTRF. http://arxiv.org/abs/0912.0017

(with Phil Rogaway and Till Stegers) How to Encipher Messages on a Small Domain: Deterministic Encryption and the Thorp Shuffle. CRYTO 2009.pdf

Spectral gap for the interchange process in a box. Electronic Communications in Probability 13 (2008). http://front.math.ucdavis.edu/0805.0480

Improved Mixing time bounds for the Thorp shuffle and L-reversal chain. To appear in Annals of Probability. http://front.math.ucdavis.edu/0802.0339

(with Russell Lyons and Oded Schramm) Ends in uniform spanning forests. To appear in Electronic Journal of Probability. http://front.math.ucdavis.edu/0706.0358

The mixing time of the
Thorp shuffle.

Spectral
gap for the zero range process with constant rate. Annals of Probability 34
(2006). __ps__

The mixing time for simple
exclusion. Annals of
Applied Probability 16 (2006). __ps__

(with Yuval
Peres) Evolving sets, mixing and heat kernel bounds. PTRF 133 (2005). __ps__

The
Components of the __ps__

(with
Alistair Sinclair) Random Walks on Truncated Cubes and
Sampling 0-1 knapsack solutions.

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