BIMSA > 帕维尔·尼基丁
助理研究员 帕维尔·尼基丁

团队: 数论和表示论

办公室: A3-2-203

邮箱: pnikitin@bimsa.cn

研究方向: 表示论

研究兴趣

  • Point processes
  • Asymptotic representation theory
  • Symmetric groups
  • Representation theory

教育经历

  • 2001 -      St. Petersburg Department of V.A.Steklov Institute of Mathematics      Functional Analysis      博士      (Supervisor: Anatoly Vershik)
  • 1996 -      St. Petersburg State University      Algebra      硕士      (Supervisor: Anatoly Vershik)

工作经历

  • 2017 -      St. Petersburg Department of V.A. Steklov Mathematical Institute      Senior researcher
  • 2015 -      Institut de Mathematiques, Marseille      Postdoc
  • 2006 -      VNIIGAZ LLC      Senior researcher, Head of laboratory

出版物

  • [1] D. BETEA, A. NAZAROV, AND P. NIKITIN, LAST PASSAGE PERCOLATION IN LOWER TRIANGULAR DOMAIN (2025)
  • [2] D. Betea, A. Nazarov, P. Nikitin, T. Scrimshaw, Limit shapes and fluctuations for (GLn,GLk) skew Howe duality, Annales Henri Poincaré (2024)
  • [3] A. Nazarov, P. Nikitin, O. Postnova, Limit shape for infinite rank limit of tensor power decomposition for Lie algebras of series SO(2n+1), J. Phys. A: Math. Theor., 56(2023), 134001
  • [4] P. Nikitin, N. Safonkin, Semifinite harmonic functions on the direct product of graded graphs, Zap. Nauchn. Sem. POMI, 517, 125–150 (2022)
  • [5] A. Nazarov, P. Nikitin, D. Sarafannikov, Skew Howe duality and q-Krawtchouk polynomial ensemble, Zap. Nauchn. Sem. POMI, 517, 106–124 (2022)
  • [6] A.A. Nazarov, P. P. Nikitin, O. V. Postnova, Statistics of irreducible components in large tensor powers of the spinor representation for SO_{2n+1} as n → ∞, J Math Sci, 261, 658–668 (2021)
  • [7] Nikitin, P., The Absolute of the Comb Graph, J Math Sci, 247, 723–730 (2020)
  • [8] Bufetov, A.I., Nikitin, P.P., Qiu, Yanqi, On number rigidity for Pfaffian point processes, Mosc. Math. J., 19(2), 217–274 (2019)
  • [9] M. V. Karev, P. P. Nikitin, The boundary of the refined Kingman graph, J Math Sci, 240(5), 539–550 (2018)
  • [10] Nikitin, P.P., O(∞)- and Sp(∞)-Invariant Ergodic Measures on the Spaces of Infinite Antisymmetric and Quaternionic Antihermitian Matrices, J Math Sci, 216, 136–145 (2016)
  • [11] P.B. Nikitin, P.P. Nikitin, I.A. Zyuzina, Ye.V. Strechen, Modern approach and promising technologies within the projects for development of oil-and-gas fields at the Russian continental shelf, Vesti gazovoy nauki, 2(22), 145–150 (2015)
  • [12] D Betea, A Nazarov, P Nikitin, T Scrimshaw, Limit Shapes and Fluctuations for$(GL_{n},GL_{k})$Skew Howe Duality, Annales Henri Poincaré, 1-60 (2025)
  • [13] D Betea, A Nazarov, P Nikitin, T Scrimshaw, Limit shapes and fluctuations for$(GL_n, GL_k)$skew Howe duality, Annales Henri Poincaré (2024)
  • [14] A Nazarov, P Nikitin, O Postnova, Limit shape for infinite rank limit of tensor power decomposition for Lie algebras of series$\mathfrak{so}_{2n+1}$, Journal of Physics A: Mathematical and Theoretical, 56(13), 134001 (2023)
  • [15] AA Nazarov, PP Nikitin, OV Postnova, Statistics of Irreducible Components in Large Tensor Powers of the Spinor Representation for soas, Journal of Mathematical Sciences, 261(5), 658-668 (2022)
  • [16] AA Nazarov, PP Nikitin, OV Postnova, Statistics of irreducible components in large tensor powers of the spinor representation for$\mathfrak{so}_{2n+1}$as$n\to\infty$, Записки научных семинаров ПОМИ, 507(0), 99-113 (2021)
  • [17] AA NAZAROV, PP NIKITIN, OLGAV POSTNOVA, ЗАПИСКИ НАУЧНЫХ СЕМИНАРОВ САНКТ-ПЕТЕРБУРГСКОГО ОТДЕЛЕНИЯ МАТЕМАТИЧЕСКОГО ИНСТИТУТА ИМ. ВА СТЕКЛОВА РАН, ЗАПИСКИ НАУЧНЫХ СЕМИНАРОВ САНКТ-ПЕТЕРБУРГСКОГО ОТДЕЛЕНИЯ МАТЕМАТИЧЕСКОГО (2021)
  • [18] A Nazarov, P Nikitin, O Postnova, Limit shape for infinite rank limit of non simply-laced Lie algebras of series so2n., arXiv (2020)
  • [19] PP Nikitin, NV Tsilevich, AM Vershik, On the decomposition of tensor representations of symmetric groups, Algebras and Representation Theory, 22(4), 895-908 (2019)
  • [20] MV Karev, PP Nikitin, The Boundary of the Refined Kingman Graph., Journal of Mathematical Sciences, 240(5) (2019)
  • [21] P Nikitin, O (∞)-and Sp (∞)-Invariant Ergodic Measures on the Spaces of Infinite Antisymmetric and Quaternionic Antihermitian Matrices., Journal of Mathematical Sciences, 216(1) (2016)
  • [22] PP Nikitin, $O(\infty)$- and$\mathrm{Sp}(\infty)$-invariant ergodic measures on the spaces of infinite antisymmetric and quaternionic antihermitian matrices, Zapiski Nauchnykh Seminarov POMI, 437, 207-220 (2015)
  • [23] AM Vershik, PP Nikitin, Description of the characters and factor representations of the infinite symmetric inverse semigroup, Functional Analysis and Its Applications, 45(1), 13-24 (2011)
  • [24] PP Nikitin, The centralizer algebra of the diagonal action of the group(ℂ) in a mixed tensor space, Journal of Mathematical Sciences, 141(4), 1479-1493 (2007)
  • [25] PP Nikitin, AM Vershik, Traces on infinite-dimensional Brauer algebras, Functional Analysis and Its Applications, 40(3), 165-172 (2006)
  • [26] PP Nikitin, The centralizer algebra of the diagonal action of the group$GL_n(\mathbb C)$in a mixed tensor space, Zapiski Nauchnykh Seminarov POMI, 331, 170-198 (2006)
  • [27] PP Nikitin, Representation theory and the branching graph for the family of Turaev algebras, Journal of Mathematical Sciences, 138(3), 5727-5732 (2006)
  • [28] PP Nikitin, A description of the commutant of the action of the group GLn (C) in mixed tensors, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov.(POMI), 331, 170-198 (2006)
  • [29] PP Nikitin, A Realization of the Irreducible Representations ofCorresponding to 2-Row Diagrams in the Space of Square-Free Symmetric Forms, Journal of Mathematical Sciences, 129(2), 3796-3799 (2005)
  • [30] PP Nikitin, A realization of the irreducible representations of$S_n$corresponding to 2-row diagrams in square-free symmetric multilinear forms, Zapiski Nauchnykh Seminarov POMI, 301, 212-218 (2003)
  • [31] PP Nikitin, The Hausdorff dimension of the harmonic measure on de Rham's curve, Zapiski Nauchnykh Seminarov POMI, 283, 206-223 (2001)
  • [32] PP Nikitin, OPISANIE KOMMUTANTA DE STVI GRUPPY GLn (C) V SMEXANNYH TENZORAH
  • [33] P Nikitin, HAUSDORFOVA RAZMERNOST^ GARMONIQESKO MERY NA KRIVO DE RAMA Vvedenie
  • [34] PP Nikitin, Жесткость для пфаффианных процессов
  • [35] OG Iosifovich, PF Vladimirovich, TN Vladimirovna, MA Valer'evich, ..., Central and invariant measures and applications
  • [36] BA Igorevich, BD Vladimirovich, GA Aleksandrovich, GS Olegovich, ..., Colloquium of Steklov Mathematical Institute of Russian Academy of Sciences
  • [37] PP Nikitin, Invariant measures for an action of the infinite symplectic group
  • [38] PP Nikitin, Random trees and central measures
  • [39] PP Nikitin, On semisimple traces for the infinite Brauer algebra and other examples
  • [40] PP Nikitin, Bratteli diagrams, locally semisimple algebras: de Finetti's theorem, Young graph, ramdom walks on graded graphs
  • [41] VA Moiseevich, GI Olshanski, TV Nagnibeda, FV Petrov, AV Malyutin, ..., St. Petersburg Seminar on Representation Theory and Dynamical Systems

 

更新时间: 2025-10-16 12:00:08