Publications

• "Generating Random Vectors in (Z/pZZ)^d via an Affine Random Process" (with Joseph McCollum). To appear in Journal of Theoretical Probability
• "On the Chung-Diaconis-Graham random process." Electronic Communications in Probability 11 (2006), 347-356.
• "A survey of results on random random walks on finite groups." Probability Surveys 2 (2005), 33-63.
• "Rates of Convergence of the Diaconis-Holmes-Neal Markov Chain Sampler with a V-shaped Stationary Probability." Markov Processes and Related Fields 10 (2004), 687-704.
• "Bounding Quantities Related to the Packing Density of 1(l+1)l...2" (with B. Sagan and V. Vatter) Advances in Applied Mathematics 33 (2004), 633-653.
• "A Note on Various Holding Probabilities for Random Lazy Random Walks on Finite Groups." Statistics and Probability Letters 56 (2002), 199-206.
• "Log concavity of a sequence in a conjecture of Simion." Journal of Combinatorial Theory - Series A 97 (2002), 108-116.
• "Random lazy random walks on arbitrary finite groups." Journal of Theoretical Probability 14 (2001), 1019-1034.
• "The proof of a conjecture of Simion for certain partitions." Discrete Mathematics 224 (2000), 139-150. (This journal is published by Elsevier.)
• "On a Conjecture of Fill and Holst Involving the Move-to-Front Rule and Cache Faults." Probability in the Engineering and Informational Sciences 13 (1999), 377-385. (This journal is published by Cambridge University Press.)
• "A Census of Cusped Hyperbolic 3-Manifolds", with P. Callahan and J. Weeks. Mathematics of Computation 68 (1999), 321-332.
• "Random Random Walks on the Integers Mod n," with J. Dai. Statistics and Probability Letters 35 (1997), 371-379. (This journal is published by Elsevier.)
• "Random Walks on Random Simple Graphs," Random Structures & Algorithms 8 (1996), 301-318. (This journal is published by J. Wiley)
• "Enumeration and Random Random Walks on Finite Groups," with C. Dou. Annals of Probability 24 (1996), 987-1000. (This journal is published by The Institute of Mathematical Statistics.)
• "Log Concavity of the Number of Paths from the Origin to Points Along the Line (a,b,c,d)+t(1,-1,1,-1)," with J. Starkweather. Ars Combinatoria 44 (1996), 205-217.
• "Random Processes of the Form X_{n+1}=a_nX_n+b_n (mod p) Where b_n Takes on a Single Value," pp. 153-174, Random Discrete Structures, ed. Aldous and Pemantle. Springer-Verlag, 1996.
• "Random Walks Supported on Random Points of Z/nZ," Probability Theory and Related Fields 100 (1994), 191-203.
• "Random Processes of the Form X_{n+1}=a_nX_n+b_n (mod p)," Annals of Probability 21 (1993), 710-720. (This journal is published by The Institute of Mathematical Statistics.)
• "Generating Random Elements in SL_n(F_q) by Random Transvections," Journal of Algebraic Combinatorics 1 (1992), 133-150. (This journal is published by Kluwer.)
• "Hyperbolic Invariants of Knots and Links," with C. Adams and J. Weeks, Transactions of the American Mathematical Society 326 (1991), 1-56.
• "A Computer Generated Census of Cusped Hyperbolic 3-Manifolds," with J. Weeks, pp. 53-59, Computers and Mathematics, ed. Kaltofen and Watt. Springer-Verlag, 1989.