{"id":200,"date":"2023-06-06T15:28:57","date_gmt":"2023-06-06T22:28:57","guid":{"rendered":"https:\/\/live-usc-dornsife.pantheonsite.io\/jason-fulman\/?page_id=200"},"modified":"2026-04-28T10:32:28","modified_gmt":"2026-04-28T17:32:28","slug":"publications","status":"publish","type":"page","link":"https:\/\/dornsife.usc.edu\/jason-fulman\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"\n\n  \n    \n\n\n\n\n\n\n<div\n  class=\"cc--component-container cc--rich-text \"\n\n  \n  \n  \n  \n  \n  \n  >\n  <div class=\"c--component c--rich-text\"\n    \n      >\n\n    \n      \n<div class=\"f--field f--wysiwyg\">\n\n    \n  <p>In 2023 I published a book, &#8220;<a href=\"https:\/\/bookstore.ams.org\/view?ProductCode=MBK\/146\">The mathematics of shuffling cards<\/a>&#8220;, written jointly with Persi Diaconis. I was interviewed about this book: &#8220;<a href=\"https:\/\/www.youtube.com\/watch?v=ySRX1_B6qlA\">Jason Fulman, The best and worst ways to shuffle a deck of cards<\/a>&#8221;<\/p>\n<p>Here are some other publications. This list is not necessarily up to date or complete. Only the published versions are definitive.<\/p>\n<ul>\n<li>Stein&#8217;s method and the modular behavior of Eulerian numbers, joint with Adrian Roellin, preprint available on the archives.<\/li>\n<li>Derangements in affine classical groups and Cohen-Lenstra heuristics, joint with Dennis Stanton, Journal of Algebra, Volume 697 (2026), 52-62.<\/li>\n<li>Derangements in finite classical groups and characteristic polynomials of random matrices, joint with Robert Guralnick, Journal of Algebra, Volume 698, (2026), 116-137.<\/li>\n<li>Representation theory and central limit theorems for traces of commutators for compact Lie groups, Advances in Applied Math, Volume 172, 2026, 10 pages.<\/li>\n<li>Tensor product Markov chains and Weil representations, joint with Michael Larsen and Pham Huu Tiep, Journal of Algebra, 2025, 278-314.<\/li>\n<li>Fixed points of non-uniform permutations and representation theory of the symmetric group (On the archives but not intended for publication)<\/li>\n<li>Probabilistic generation of finite almost simple groups, joint with Daniele Garzoni and Robert Guralnick, Advances in Mathematics, 2024, 26 pages.<\/li>\n<li>Beta approximation for the two alleles Moran model by Stein&#8217;s method, Statistics and Probability Letters, 2024, 7 pages<\/li>\n<li>Carries and a map on the space of rational functions, Advances in Applied Mathematics, Volume 152, 2024, 7 pages.<\/li>\n<li>Enumeration of conjugacy classes in affine groups, joint with Robert Guralnick, Algebra and Number Theory, Volume 18, 2024, 1189-1219.<\/li>\n<li>Cohen-Lenstra partitions and mutually annihilating matrices over a finite field, joint with Robert Guralnick, Linear Algebra and its Applications, Volume 645, 2022, 1-8.<\/li>\n<li>Card shuffling and P-partitions, joint with T. Kyle Petersen, Discrete Mathematics, Volume 344, 2021, 18 pages<\/li>\n<li>On the joint distribution of descents and signs of permutations, joint with Gene B. Kim, Sangchul Lee, and T. Kyle Petersen, Electronic Journal of Combinatorics, Volume 28, 2021, 30 pages<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/peakpaper.pdf\">Central limit theorem for peaks of a random permutation in a fixed conjugacy class of Sn<\/a>, joint with Gene B. Kim and Sangchul Lee, Annals of Combinatorics, Volume 26, 2022, 97-123.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/steinlinearclassical.pdf\">Stein&#8217;s method, heat kernel, and linear functions on the orthogonal groups<\/a> , joint with Adrian Roellin, Journal of Algebra, Volume 607, 2022, 272-285<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/NarayanaStein08_28_2018.pdf\">Stein&#8217;s method and Narayana numbers<\/a>, joint with Adrian Roellin, Statistics and Probability Letters, Volume 165, 2020, 9 pages<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/cokernelsfinal.pdf\">Random partitions and Cohen-Lenstra heuristics<\/a>, joint with Nathan Kaplan, Annals of Combinatorics, Volume 23 (2019), 295-315.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/LieCommute.pdf\">Enumeration of Commuting Pairs in Lie Algebras over Finite Fields<\/a>, joint with Robert Guralnick, Annals of Combinatorics, Volume 22 (2018), 295-316.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/typeBtori01_15_2017_NYJM_Revisions.pdf\">Generating functions and statistics on spaces of maximal tori in classical Lie groups<\/a>, joint with Rita Jimenez Rolland and Jennifer Wilson, New York Journal of Mathematics, Volume 23, 2017, pages 165-191.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/wreathextFINAL.pdf\">Derangements in finite classical groups for actions related to extension field and imprimitive subgroups and the solution of the Boston-Shalev conjecture<\/a>, joint with Robert Guralnick, Transactions of the American Math Society, Volume 370, 2018, 4601-4622.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/involutions2_18_2017v2.pdf\">Asymptotics of the number of involutions in finite classical groups , joint with Robert Guralnick and Dennis Stanton, Journal of Group Theory<\/a>, Volume 20, 2017, pages 871-902.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/fulman-stantonfinal.pdf\">On the distribution of the number of fixed vectors for the finite classical groups<\/a>, joint with Dennis Stanton, Annals of Combinatorics, Volume 20 (2016), 755-773.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/stabilityFINAL.pdf\">A generating function approach to counting theorems for square-free polynomials and maximal tori<\/a>, Annals of Combinatorics, Volume 20, (2016), pages 587-599.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/rsn5_05_2014.pdf\">Stein&#8217;s method, semicircle distribution, and reduced decompositions of the longest element in the symmetric group<\/a>, joint with Larry Goldstein, not intended for publication.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/Sandpile07_02_2014.pdf\">Hall-Littlewood polynomials and Cohen-Lenstra heuristics for Jacobians of random graphs<\/a>, Annals of Combinatorics, Volume 20, 2016, pages 115-124.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/BALANCEDPUBLISHED.pdf\">Combinatorics of balanced carries , joint with Persi Diaconis, Advances in Applied Math<\/a>, Volume 59 (2014), 8-25<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/CohenLenstra7_2_13.pdf\">Cohen-Lenstra heuristics and random matrix theory over finite fields<\/a>, Journal of Group Theory, Volume 17 (2014), 619-648.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/personalcopy.pdf\">Generating functions for real character degree sums of finite general linear and unitary groups<\/a>, joint with Ryan Vinroot, Journal of Algebraic Combinatorics, Volume 40 (2014), 387-416.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/subspace04_13_2015v2.pdf\">Derangements in subspace actions of finite classical groups<\/a>, joint with Robert Guralnick, Transactions of American Math Society, Volume 369 (2017), no. 4, 2521-2572.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/AOP889.pdf\">Stein&#8217;s method and the rank distribution of random matrices over finite fields<\/a>, joint with Larry Goldstein, Annals of Probability, Vol. 43 (2015), 1274-1314.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/LAApaper.pdf\">The number of regular semisimple conjugacy classes in the finite classical groups<\/a>, joint with Robert Guralnick, Linear Algebra and its Applications, Volume 439 (2013), 488-503. joint with Nathan Ross, ALEA, Lat. Am. J. Probab. Math. Stat., Volume 10 (2013), 1-13.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/10-01.pdf\">Exponential approximation and Stein&#8217;s method of exchangeable pairs<\/a>, joint with Nathan Ross, ALEA, Lat. Am. J. Probab. Math. Stat., Volume 10 (2013), 1-13..<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/casinorevised.pdf\">Analysis of Casino Shelf Shuffling Machines<\/a>, joint with Persi Diaconis and Susan Holmes, Annals of Applied Probability, Vol. 23, No. 4, (2013), 1692-1720.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/JACOpaper.pdf\">Foulkes Characters, Eulerian Idempotents, and an Amazing Matrix<\/a>, joint with Persi Diaconis, Journal of Algebraic Combinatorics, Volume 36, Issue 3 (2012), 425-440.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/0biaspublished.pdf\">Zero biasing and Jack measures, (pdf file)<\/a> joint with Larry Goldstein, Combinatorics, Probability, and Computing, Volume 20, 2011, 753-762.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/EJP.pdf\">Stein&#8217;s method, heat kernel, and traces of powers of elements of compact Lie groups<\/a>, Electronic Journal of Probability, 17 (2012), no. 66, 1-16.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/fstfinal.pdf\">Cycle indices for finite orthogonal groups of even characteristic (pdf file) joint with Jan Saxl and Pham Huu Tiep<\/a>, Transactions of American Math Society, Volume 364, 2012, 2539-2566.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/addingalistfinal.pdf\">On adding a list of numbers (and other one-dependent determinantal processes) (pdf file) joint with Alexei Borodin and Persi Diaconis<\/a>, Bulletin of the American Mathematical Society, Volume 47, 2010, 639-670.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/bounded.pdf\">Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements (pdf file) joint with Robert Guralnick<\/a>, Transactions of the American Math Society, Volume 364, 2012, 3023-3070.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/rootedtreesEJC.pdf\">Mixing time for random walk on rooted trees<\/a>, Electronic Journal of Combinatorics, Volume 16 (1), R 139, 2009, 13 pages.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/YAAMA1265-1.pdf\">Carries, shuffling, and symmetric functions (pdf file) joint with Persi Diaconis<\/a>, Advances in Applied Math, Volume 43 (2009), 176-196.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/monthly788-803.pdf\">Carries, shuffling, and an amazing matrix (pdf file) joint with Persi Diaconis<\/a>, American Math Monthly, Volume 116 (2009), 788-803.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/steinRMTrevised.pdf\">Stein&#8217;s method and characters of compact Lie groups (pdf file)<\/a>, Communications of Mathematical Physics Vol. 288, 1181-1201.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/commutationrevised.pdf\">Commutation relations and Markov chains (pdf file)<\/a>, Probab. Theory Rel. Fields Vol. 144, 99-136 (2009).<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/dfgfinal.pdf\">On fixed points of permutations, (pdf file) joint with Persi Diaconis and Robert Guralnick<\/a>, Journal of Algebraic Combinatorics, Volume 28 (2008), 189-218.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/separationrevised.pdf\">Separation cutoffs for random walk on irreducible representations. (pdf file)<\/a>, Annals of Combinatorics Vol. 14, 319-337 (2010).<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/markovirrep3.pdf\">Convergence rates of random walk on irreducible representations of finite groups. (pdf file)<\/a>, Journal of Theoretical Probability, Volume 21 (2008), 193-211<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/CFR08_15_08.pdf\">Exponential approximation by Stein&#8217;s method and spectral graph theory. (pdf file)<\/a>, joint with Sourav Chatterjee and Adrian Rollin, ALEA, Lat. Am. J. Probab. Math. Stat., Volume 8 (2011), 197-223<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/steinalgrevised.pdf\">Stein&#8217;s method and random character ratios. (pdf file)<\/a>, Transac. Amer. Math. Soc., Volume 360 (2008), 3687-3730.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/boltfinal.pdf\">An inductive proof of the Berry-Esseen theorem for character ratios. (pdf file)<\/a>, Annals of Combinatorics, Volume 10 (2006), 319-332<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/C12.pdf\">Power series coefficients for probabilities in finite classical groups. (pdf file)<\/a>, joint with John Britnell, , Journal of Algebra, Volume 305 (2006), 1212-1237.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/SymMart18.pdf\">Martingales and character ratios. (pdf file)<\/a>, Transac. Amer. Math. Soc., Volume 358 (2006), 4533-4552.<\/li>\n<li><em><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/steindist4-13-05.pdf\">Stein&#8217;s method and descents after riffle shuffles. (pdf file)<\/a>, Electronic Journal of Probability, Volume 10 (2005), paper no. 26, pages 901-924.<\/em><\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/chapter.pdf\">A generating function approach to matrix enumeration in classical groups over finite fields; (pdf file)<\/a>, joint with Peter M. Neumann and Cheryl E. Praeger, Memoirs Amer. Math. Soc., Volume 176, No. 830 (2005).<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/steinhar14_1.pdf\">Stein&#8217;s method and Plancherel measure of the symmetric group (pdf file);<\/a> Transac. Amer. Math. Soc., Volume 357 (2005), 555-570.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/shuffletensfinal2.pdf\">Card shuffling and the decomposition of tensor products. (pdf file);<\/a> Pacific J. Math., Volume 217 (2004), pages 247-262.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/steinjackfinal6.pdf\">Stein&#8217;s method, Jack measure, and the Metropolis algorithm. (pdf file)<\/a> ; Journal of Combinatorial Theory, Series A, Volume 108 (2004), pages 275-296.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/doublejordanFINALrev.pdf\">Conjugacy class properties of the extension of GL(n,q) generated by the inverse transpose involution ;<\/a> (pdf file), joint with Robert Guralnick, Journal of Algebra, Volume 275 (2004), 356-396.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/cutincreasesub.pdf\">A Card shuffling analysis of deformations of the Plancherel measure of the symmetric group (pdf file)<\/a> , Electron. Journal of Combinatorics, Volume 11, 2004.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/durham.pdf\">Derangements in simple and primitive groups ; joint with Robert Guralnick, in Groups<\/a>, combinatorics, and geometry: Durham 2001, pages 99-121, Ivanov, Liebeck and Saxl editors .<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/stein9.pdf\">Stein&#8217;s Method and Non-Reversible Markov Chains; pages 69-77 in Institute of Mathematical<\/a> Statistics Lecture Notes. Volume 46, &#8220;Stein&#8217;s Method: Expository Lectures and Applications&#8221; (2004)<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/DealBotFinal.pdf\">Applications of Symmetric Functions to Cycle and Increasing Subsequence Structure After Shuffles<\/a> , Journal of Algebraic Combinatorics, Volume 16 (2002), 165-194.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/GLsubsequence.pdf\">GL(n,q) and Increasing Subsequences in Nonuniform Random Permutations;<\/a> Annals of Combinatorics. Volume 6 (2002), 19-32.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/Maximal.pdf\">Finite Affine Groups: Cycle Indices, Symmetric Functions, and Probabilistic Algorithms;<\/a> Journal of Algebra. Volume 250, 2002, 731-756.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/SurveyEigenval.pdf\">Random Matrix Theory over Finite Fields. Bulletin of the American Mathematical Society<\/a>. Volume 39, 2002, 51-85.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/Brauer1.pdf\">Applications of the Brauer Complex: Card Shuffling, Permutation Statistics, and Dynamical Systems;<\/a> (dvi file) Journal of Algebra Volume 243, 2001, 96-122.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/Ramanujan.pdf\">A Probabilistic Proof of the Rogers Ramanujan Identities; Bulletin of the London Math Society,<\/a> Volume 33, 2001, 397-407<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/hyper.pdf\">Descent Algebras, Hyperplane Arrangements and Shuffing Cards. Proceedings of the American<\/a> Mathematical Society Volume 129, 2001, 965-973<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/FinishThesis-1.pdf\">A Probabilistic Approach to Conjugacy Classes in the Finite Symplectic and Orthogonal Groups<\/a>; Journal of Algebra. Volume 234, 2000, 207-224.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/ShuffleCut.pdf\">Affine Shuffles, Shuffles with Cuts, the Whitehouse module, and Patience Sorting; Journal of Algebra,<\/a> Volume 231, 2000, 614-639.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/eigenvalues3.pdf\">The Eigenvalue Distribution of a Random Finite Unipotent Matrix in its Action on Lines; Journal of Algebra.<\/a> Volume 228, 2000, 497-511<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/finaljeff.pdf\">Counting Nilpotent pairs in Finite Groups (joint with Mike Galloy, Gary Sherman, and Jeff Vanderkam)<\/a>; Ars Combinatoria. Volume 54, 2000, 161-178<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/Weylshufflepost.pdf\">Semisimple Orbits of Lie Algebras and Card Shuffling Measures on Coxeter Groups<\/a>; Journal of Algebra. Bolume 224, 2000, 151-165.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/weil-1.pdf\">Descent Identites, Hessenberg Varieties and the Weil Conjectures; Journal of Combinatoial Theory<\/a>, Series A. Volume 87, 1999, 390-397<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/poincare-2.pdf\">Comparing EigenValue Bounds for Markov Chains: When Does Poincare beat Cheeger?<\/a> (joint with Elizabeth Wilmer); Annals of Applied Probability. Volume 9, 1999, 1-13<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/genus2.pdf\">Counting Semisimple Orbits of Finite Lie Algebras by Genus;<\/a> Journal of Algebra.Volume 217, 1999, 170-179<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/cycle2.pdf\">Cycle Indices for the Finite Classical Groups; Journal of Group Theory.<\/a> Volume 2, Issue 3, 1999, pages 251-289.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/probproofs.pdf\">A Probabilistic Approach Toward Conjugancy Classes in the Finite General Linear and Unitary Groups<\/a>, Journal of Algebra, Volume 212, No.2, 1999, 557-590<\/li>\n<li>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.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/riffle3.pdf\">The Combinatorics of Biased Riffle Shuffles. Combinatorica<\/a>. Volume 18, No.2, 1998. pages 173-184.<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/CommutingTrips.pdf\">Orbifold Euler Characteristics and the Number of Computing m-tuples in the Symmetric Groups<\/a> (joint with Jim Bryan). Annals of Combinatorics. Volume 2, 1998, pages 1-6.65\/<\/li>\n<li><a href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/wp-content\/uploads\/sites\/224\/2023\/06\/thesis20.pdf\">Probability in the Classical Groups over Finite Fields: Symmetric Functions, Probabilistic Algorithms, and Cycle Indices . phD Thesis<\/a>, Harvard University, 1997.<\/li>\n<\/ul>\n\n\n\n<\/div>\n\n\n  <\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":370,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-200","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Publications - Jason Fulman<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/dornsife.usc.edu\/jason-fulman\/publications\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Publications - 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