Jan Troost, “Inverse monoid topological quantum field theories and open-closed grand canonical symmetric orbifolds”, J. High Energ. Phys., 2026:3 (2026)
Lior Benizri, Jan Troost, “The string dual to two-dimensional Yang-Mills theory”, J. High Energ. Phys., 2025:8 (2025)
Ya. Drachov, A. Mironov, A. Popolitov, “W1+∞ and W˜ algebras, and Ward identities”, Physics Letters B, 849 (2024), 138426
Samuel Creedon, “A centralizer analogue to the Farahat–Higman algebra”, Algebraic Combinatorics, 7:2 (2024), 337
Lior Benizri, Jan Troost, “Symmetric group gauge theories and simple gauge/string dualities”, J. Phys. A: Math. Theor., 57:50 (2024), 505401
Yu. A. Neretin, “Algebras of conjugacy classes in symmetric groups and checker triangulated surfaces”, Mosc. Math. J., 24:2 (2024), 201–217
Yu. A. Neretin, “On Algebras of Double Cosets of Symmetric Groups with Respect to Young Subgroups”, Math. Notes, 114:4 (2023), 583–592
Christopher Ryba, “Stable centres of wreath products”, Algebraic Combinatorics, 6:2 (2023), 413
Shinji Koshida, “Normalized characters of symmetric groups and Boolean cumulants via Khovanov's Heisenberg category”, Journal of Combinatorial Theory, Series A, 196 (2023), 105735
Houcine Ben Dali, “Integrality in the Matching-Jack conjecture and the Farahat-Higman algebra”, Trans. Amer. Math. Soc., 376:5 (2023), 3641
Christopher Ryba, “Stable Centres of Iwahori-Hecke Algebras of Type A”, Algebr Represent Theor, 26:6 (2023), 2343
A. Mironov, A. Morozov, “On combinatorial generalization(s) of Borel transform: Averaging method in combinatorics of symmetric polynomials”, Physics Letters B, 843 (2023), 138037
Yen-Jen Cheng, Sen-Peng Eu, Hsiang-Chun Hsu, “Statistics of partial permutations via Catalan matrices”, Advances in Applied Mathematics, 143 (2023), 102451
Sho Matsumoto, Piotr Śniady, “Symmetric group characters of almost square shape”, Algebraic Combinatorics, 5:4 (2022), 771
A. Mironov, A. Morozov, A. Zhabin, “Spin Hurwitz theory and Miwa transform for the Schur Q-functions”, Physics Letters B, 829 (2022), 137131
Tout O., “K-Partial Permutations and the Center of the Wreath Product S-K S-N Algebra”, J. Algebr. Comb., 53:2 (2021), 389–412
Huang J., “Law of Large Numbers and Central Limit Theorems Through Jack Generating Functions”, Adv. Math., 380 (2021), 107545
Burchardt A., “The TOP-Degree Part in the Matchings-Jack Conjecture”, Electron. J. Comb., 28:2 (2021), P2.15
Tout O., “The Center of the Wreath Product of Symmetric Group Algebras”, Algebra Discret. Math., 31:2 (2021), 302–322
A. Mironov, A. Morozov, A. Zhabin, “Connection between cut-and-join and Casimir operators”, Physics Letters B, 822 (2021), 136668
Ryan O'Donnell, John Wright, “Quantum Spectrum Testing”, Commun. Math. Phys., 387:1 (2021), 1
A. Mironov, A. Morozov, S. Natanzon, “Cut-and-join structure and integrability for spin Hurwitz numbers”, Eur. Phys. J. C, 80:2 (2020)
A. Mironov, A. Morozov, “On Hamiltonians for Kerov functions”, Eur. Phys. J. C, 80:3 (2020)
A. Mironov, A. Morozov, “Hook variables: Cut-and-join operators and τ-functions”, Physics Letters B, 804 (2020), 135362
Tout O., “A General Framework For the Polynomiality Property of the Structure Coefficients of Double-Class Algebras”, J. Algebr. Comb., 45:4 (2017), 1111–1152
Sho Matsumoto, “Polynomiality of shifted Plancherel averages and content evaluations”, Annales Mathématiques Blaise Pascal, 24:1 (2017), 55
Dolega M., Feray V., “Gaussian fluctuations of Young diagrams and structure constants of Jack characters”, Duke Math. J., 165:7 (2016), 1193–1282
Quan Zheng, “Shifted genus expanded W∞ algebra and shifted Hurwitz numbers”, Journal of Mathematical Physics, 57:5 (2016)
Ryan O'Donnell, John Wright, Proceedings of the forty-seventh annual ACM symposium on Theory of Computing, 2015, 529
Tout O., “Structure Coefficients of the Hecke Algebra of (S-2N; B-N)”, Electron. J. Comb., 21:4 (2014), P4
Meliot P.-L., “Partial Isomorphisms Over Finite Fields”, J. Algebr. Comb., 40:1 (2014), 83–136
Alexey Sleptsov, “Hidden structures of knot invariants”, Int. J. Mod. Phys. A, 29:29 (2014), 1430063
Andrey Mironov, Aleksey Morozov, Sergey Natanzon, “Infinite-dimensional topological field theories from Hurwitz numbers”, J. Knot Theory Ramifications, 23:06 (2014), 1450033
Lassalle M., “Class Expansion of Some Symmetric Functions in Jucys-Murphy Elements”, J. Algebra, 394 (2013), 397–443
A. Mironov, A. Morozov, S. Natanzon, “A Hurwitz theory avatar of open–closed strings”, Eur. Phys. J. C, 73:2 (2013)
Sho Matsumoto, Jonathan Novak, “Jucys–Murphy Elements and Unitary Matrix Integrals”, International Mathematics Research Notices, 2013:2 (2013), 362
A. Mironov, A. Morozov, A. Sleptsov, “On genus expansion of knot polynomials and hidden structure of Hurwitz tau-functions”, Eur. Phys. J. C, 73:7 (2013)
Feray V., “Partial Jucys-Murphy elements and star factorizations”, European J Combin, 33:2 (2012), 189–198
Mironov A., Morozov A., Natanzon S., “Algebra of differential operators associated with Young diagrams”, J Geom Phys, 62:2 (2012), 148–155
Alexandrov A., Mironov A., Morozov A., Natanzon S., “Integrability of Hurwitz partition functions”, J. Phys. A: Math. Theor., 45:4 (2012), 045209
Feray V., “On Complete Functions in Jucys-Murphy Elements”, Ann. Comb., 16:4 (2012), 677–707
Aker K., Can M.B., “Generators of the Hecke Algebra of (S-2N, B-N)”, Adv. Math., 231:5 (2012), 2465–2483
Bridget Eileen Tenner, “A combinatorial proof of symmetry among minimal star factorizations”, Discrete Mathematics, 312:16 (2012), 2482
Feray V., Sniady P., “Zonal polynomials via Stanley's coordinates and free cumulants”, J Algebra, 334:1 (2011), 338–373
Mironov A., Morozov A., Natanzon S., “Integrability properties of Hurwitz partition functions. II. Multiplication of cut-and-join operators and WDVV equations”, Journal of High Energy Physics, 2011, no. 11, 097
Rattan A., Sniady P., “Upper bound on the characters of the symmetric groups for balanced Young diagrams and a generalized Frobenius formula”, Advances in Mathematics, 218:3 (2008), 673–695
Sniady P., “Gaussian fluctuations of representations of wreath products”, Infinite Dimensional Analysis Quantum Probability and Related Topics, 9:4 (2006), 529–546
Sniady P., “Gaussian fluctuations of characters of symmetric groups and of Young diagrams”, Probability Theory and Related Fields, 136:2 (2006), 263–297
Sniady P., “Asymptotics of characters of symmetric groups, genus expansion and free probability”, Discrete Mathematics, 306:7 (2006), 624–665
Wang W.Q., “Vertex algebras and the class algebras of wreath products”, Proceedings of the London Mathematical Society, 88:2 (2004), 381–404
Ivanov V., Olshanski G., “Kerov's central limit theorem for the plancherel measure on young diagrams”, Symmetric Functions 2001: Surveys of Developments and Perspectives, NATO Science Series, Series II: Mathematics, Physics and Chemistry, 74, 2002, 93–151
Molev A.I., Olshanski G.I., “Degenerate affine Hecke algebras and centralizer construction for the symmetric groups”, Journal of Algebra, 237:1 (2001), 302–341