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ЖУРНАЛЫ // Алгебра и анализ

Алгебра и анализ, 2000, том 12, выпуск 5, страницы 28–63 (Mi aa1121)

Гармонический анализ на бесконечной симметрической группе и ядро Уиттекера
А. М. Бородин

Эта публикация цитируется в следующих статьяx:
  1. Petrov L., “Sl(2) Operators and Markov Processes on Branching Graphs”, J. Algebr. Comb., 38:3 (2013), 663–720  crossref  mathscinet  zmath  isi  elib  scopus
  2. Borodin A., Olshanski G., “Markov Dynamics on the Thoma Cone: a Model of Time-Dependent Determinantal Processes with Infinitely Many Particles”, Electron. J. Probab., 18 (2013), 75, 1–43  crossref  mathscinet  isi  scopus
  3. Strahov E., “$Z$-measures on partitions related to the infinite Gelfand pair $(S(2\infty),H(\infty))$”, J. Algebra, 323:2 (2010), 349–370  crossref  mathscinet  zmath  isi  elib  scopus
  4. Olshanski G., “Anisotropic Young Diagrams and Infinite–Dimensional Diffusion Processes with the Jack Parameter”, International Mathematics Research Notices, 2010, no. 6, 1102–1166  mathscinet  zmath  isi  elib
  5. Strahov E., “The z–measures on partitions, Pfaffian point processes, and the matrix hypergeometric kernel”, Advances in Mathematics, 224:1 (2010), 130–168  crossref  mathscinet  zmath  isi  scopus
  6. Borodin A., Olshanski G., “Infinite-dimensional diffusions as limits of random walks on partitions”, Probab. Theory Related Fields, 144:1-2 (2009), 281–318  crossref  mathscinet  zmath  isi  elib  scopus
  7. Borodin A., Strahov E., “Correlation kernels for discrete symplectic and orthogonal ensembles”, Comm. Math. Phys., 286:3 (2009), 933–977  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
  8. Borodin A., Olshanski G., Strahov E., “Giambelli compatible point processes”, Adv. in Appl. Math., 37:2 (2006), 209–248  crossref  mathscinet  zmath  adsnasa  isi  scopus
  9. Borodin A., Olshanski G., “Markov processes on partitions”, Probab. Theory Related Fields, 135:1 (2006), 84–152  crossref  mathscinet  zmath  isi  elib  scopus
  10. Borodin A., Olshanski G., “Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes”, Ann. of Math. (2), 161:3 (2005), 1319–1422  crossref  mathscinet  zmath  isi  scopus
  11. Borodin A., Olshanski G., “$Z$-measures on partitions and their scaling limits”, European J. Combin., 26:6 (2005), 795–834  crossref  mathscinet  zmath  isi  elib  scopus
  12. Borodin A., Olshanski G., “Random partitions and the gamma kernel”, Adv. Math., 194:1 (2005), 141–202  crossref  mathscinet  zmath  isi  elib  scopus
  13. Borodin A., Olshanski G., “Representation theory and random point processes”, European Congress of Mathematics, 2005, 73–94  mathscinet  zmath  isi
  14. Kerov S., Olshanski G., Vershik A., “Harmonic analysis on the infinite symmetric group”, Invent. Math., 158:3 (2004), 551–642  crossref  mathscinet  zmath  adsnasa  isi  scopus
  15. Borodin A., “Asymptotic representation theory and Riemann–Hilbert problem”, Asymptotic combinatorics with applications to mathematical physics (St. Petersburg, 2001), Lecture Notes in Math., 1815, Springer, Berlin, 2003, 3–19  crossref  mathscinet  zmath  isi
  16. Olshanski C., “An introduction to harmonic analysis on the infinite symmetric group”, Asymptotic combinatorics with applications to mathematical physics (St. Petersburg, 2001), Lecture Notes in Math., 1815, Springer, Berlin, 2003, 127–160  crossref  mathscinet  zmath  isi
  17. Borodin A., “Discrete gap probabilities and discrete Painlevé equations”, Duke Math. J., 117:3 (2003), 489–542  crossref  mathscinet  zmath  isi  scopus
  18. Olshanski G., “The problem of harmonic analysis on the infinite–dimensional unitary group”, Journal of Functional Analysis, 205:2 (2003), 464–524  crossref  mathscinet  zmath  isi  scopus
  19. Olshanski G., “Point processes related to the infinite symmetric group”, Orbit Method in Geometry and Physics – in Honor of A.A. Kirillov, Progress in Mathematics, 213, 2003, 349–393  mathscinet  zmath  isi
  20. Borodin A., Deift P., “Fredholm determinants, Jimbo-Miwa-Ueno $\tau$-functions, and representation theory”, Comm. Pure Appl. Math., 55:9 (2002), 1160–1230  crossref  mathscinet  zmath  isi  scopus


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