Plancherel measure (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Plancherel measure" in English language version.

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arxiv.org

doi.org

  • Borodin, Alexei; Okounkov, Andrei; Olshanski, Grigori (2000). "Asymptotics of Plancherel measures for symmetric groups". Journal of the American Mathematical Society. 13:491–515. 13 (3): 481–515. doi:10.1090/S0894-0347-00-00337-4. S2CID 14183320.
  • Johansson, Kurt (2001). "Discrete orthogonal polynomial ensembles and the Plancherel measure". Annals of Mathematics. 153 (1): 259–296. arXiv:math/9906120. doi:10.2307/2661375. JSTOR 2661375. S2CID 14120881.
  • Logan, B. F.; Shepp, L. A. (1977). "A variational problem for random Young tableaux". Advances in Mathematics. 26 (2): 206–222. doi:10.1016/0001-8708(77)90030-5.
  • Baik, Jinho; Deift, Percy; Johansson, Kurt (1999). "On the distribution of the length of the longest increasing subsequence of random permutations". Journal of the American Mathematical Society. 12:1119–1178. 12 (4): 1119–1178. doi:10.1090/S0894-0347-99-00307-0. S2CID 11355968.
  • Vershik, A. M.; Kerov, S. V. (1985). "The asymptotics of maximal and typical dimensions irreducible representations of the symmetric group". Funct. Anal. Appl. 19:21–31. doi:10.1007/BF01086021. S2CID 120927640.

jstor.org

semanticscholar.org

api.semanticscholar.org

  • Borodin, Alexei; Okounkov, Andrei; Olshanski, Grigori (2000). "Asymptotics of Plancherel measures for symmetric groups". Journal of the American Mathematical Society. 13:491–515. 13 (3): 481–515. doi:10.1090/S0894-0347-00-00337-4. S2CID 14183320.
  • Johansson, Kurt (2001). "Discrete orthogonal polynomial ensembles and the Plancherel measure". Annals of Mathematics. 153 (1): 259–296. arXiv:math/9906120. doi:10.2307/2661375. JSTOR 2661375. S2CID 14120881.
  • Baik, Jinho; Deift, Percy; Johansson, Kurt (1999). "On the distribution of the length of the longest increasing subsequence of random permutations". Journal of the American Mathematical Society. 12:1119–1178. 12 (4): 1119–1178. doi:10.1090/S0894-0347-99-00307-0. S2CID 11355968.
  • Vershik, A. M.; Kerov, S. V. (1985). "The asymptotics of maximal and typical dimensions irreducible representations of the symmetric group". Funct. Anal. Appl. 19:21–31. doi:10.1007/BF01086021. S2CID 120927640.