Some of Jason Fulman's Publications/Preprints
Carries, shuffling, and an amazing matrix (pdf file) joint with Persi Diaconis, preprint arXiv:0806.3583 at xxx.lan.gov.
Stein's method and characters of compact Lie groups (pdf file), to appear in Communications of Mathematical Physics, preprint arXiv:0806.2168 at xxx.lan.gov.
Commutation relations and Markov chains (pdf file), to appear in Probab. Theory Rel. Fields, preprint arXiv:0712.1375 at xxx.lan.gov.
On fixed points of permutations, (pdf file) joint with Persi Diaconis and Robert Guralnick, to appear in Journal of Algebraic Combinatorics.
Separation cutoffs for random walk on irreducible representations. (pdf file), to appear in Annals of Combinatorics, preprint math.PR/0703291 at xxx.lan.gov.
Convergence rates of random walk on irreducible representations of finite groups. (pdf file), Journal of Theoretical Probability, Volume 21 (2008), 193-211.
Exponential approximation by exchangeable pairs and spectral graph theory. (pdf file), joint with Sourav Chatterjee, , preprint math.PR/0605552 at xxx.lan.gov.
Stein's method and random character ratios. (pdf file) , Transac. Amer. Math. Soc., Volume 360 (2008), 3687-3730.
An inductive proof of the Berry-Esseen theorem for character ratios. (pdf file) , Annals of Combinatorics, Volume 10 (2006), 319-332.
Power series coefficients for probabilities in finite classical groups. (pdf file), joint with John Britnell, , Journal of Algebra, Volume 305 (2006), 1212-1237.
Martingales and character ratios. (pdf file) , Transac. Amer. Math. Soc., Volume 358 (2006), 4533-4552.
Stein's method and descents after riffle shuffles. (dvi file) , Electronic Journal of Probability, Volume 10 (2005), paper no. 26, pages 901-924.
A generating function approach to matrix enumeration in classical groups over finite fields ; (dvi file), joint with Peter M. Neumann and Cheryl E. Praeger, Memoirs Amer. Math. Soc., Volume 176, No. 830 (2005).
Stein's method and Plancherel measure of the symmetric group (dvi file) ; Transac. Amer. Math. Soc., Volume 357 (2005), 555-570.
Card shuffling and the decomposition of tensor products. (dvi file) ; Pacific J. Math., Volume 217 (2004), pages 247-262.
Stein's method, Jack measure, and the Metropolis algorithm. (dvi file) ; Journal of Combinatorial Theory, Series A, Volume 108 (2004), pages 275-296.
Conjugacy class properties of the extension of GL(n,q) generated by the inverse transpose involution ; (dvi file), joint with Robert Guralnick, Journal of Algebra, Volume 275 (2004), 356-396 .
A Card shuffling analysis of deformations of the Plancherel measure of the symmetric group (dvi file) , Electron. Journal of Combinatorics, Volume 11, 2004.
Derangements in simple and primitive groups ; joint with Robert Guralnick, in Groups, combinatorics, and geometry: Durham 2001, pages 99-121, Ivanov, Liebeck and Saxl editors .
Stein's Method and Non-Reversible Markov Chains; pages 69-77 in Institute of Mathematical Statistics Lecture Notes Volume 46, "Stein's Method: Expository Lectures and Applications" (2004).
Applications of Symmetric Functions to Cycle and Increasing Subsequence Structure After Shuffles , Journal of Algebraic Combinatorics, Volume 16 (2002), 165-194.
GL(n,q) and Increasing Subsequences in Nonuniform Random Permutations; Annals of Combinatorics. Volume 6 (2002), 19-32.
Finite Affine Groups: Cycle Indices, Symmetric Functions, and Probabilistic Algorithms; Journal of Algebra. Volume 250, 2002, 731-756.
Random Matrix Theory over Finite Fields. Bulletin of the American Mathematical Society. Volume 39, 2002, 51-85.
Applications of the Brauer Complex: Card Shuffling, Permutation Statistics, and Dynamical Systems; (dvi file) Journal of Algebra Volume 243, 2001, 96-122.
A Probabilistic Proof of the Rogers Ramanujan Identities; Bulletin of the London Math Society. Volume 33, 2001, 397-407.
Descent Algebras, Hyperplane Arrangements and Shuffling Cards. Proceedings of the American Mathematical Society Volume 129, 2001, 965-973.
A Probabilistic Approach to Conjugacy Classes in the Finite Symplectic and Orthogonal Groups; Journal of Algebra. Volume 234, 2000, 207-224.
Affine Shuffles, Shuffles with Cuts, the Whitehouse module, and Patience Sorting; Journal of Algebra, Volume 231, 2000, 614-639.
The Eigenvalue Distribution of a Random Finite Unipotent Matrix in its Action on Lines; Journal of Algebra. Volume 228, 2000, 497-511.
Counting Nilpotent Pairs in Finite Groups (joint with Mike Galloy, Gary Sherman, and Jeff Vanderkam); Ars Combinatoria. Volume 54, 2000, 161-178.
Semisimple Orbits of Lie Algebras and Card Shuffling Measures on Coxeter Groups; Journal of Algebra. Volume 224, 2000, 151-165.
Descent Identities, Hessenberg Varieties, and the Weil Conjectures; Journal of Combinatorial Theory, Series A. Volume 87, 1999, 390-397.
Comparing Eigenvalue Bounds for Markov Chains: When Does Poincare beat Cheeger? (joint with Elizabeth Wilmer); Annals of Applied Probability. Volume 9, 1999, 1-13.
Counting Semisimple Orbits of Finite Lie Algebras by Genus; Journal of Algebra. Volume 217, 1999, 170-179.
Cycle Indices for the Finite Classical Groups. Journal of Group Theory. Volume 2, Issue 3, 1999, pages 251-289.
A Probabilistic Approach Toward Conjugacy Classes in the Finite General Linear and Unitary Groups. Journal of Algebra. Volume 212, No. 2, 1999, 557-590.
A Simple Geometric Proof of the Invariance of the Conway Polynomial for Links in 3-Space (joint with Dror Bar-Natan and Lou Kauffman). Journal of Knot Theory and its Ramifications. Volume 7, No. 7 (1998), pages 873-879.
The Combinatorics of Biased Riffle Shuffles. Combinatorica. Volume 18, No. 2, 1998, pages 173-184.
Orbifold Euler Characteristics and the Number of Commuting m-tuples in the Symmetric Groups (joint with Jim Bryan). Annals of Combinatorics. Volume 2, 1998, pages 1-6.
Probability in the Classical Groups over Finite Fields: Symmetric Functions, Probabilistic Algorithms, and Cycle Indices (dvi file) . Ph.D. Thesis, Harvard University, 1997.
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