Ordered cycle lengths in a random permutation
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- by L. A. Shepp and S. P. Lloyd
- Trans. Amer. Math. Soc. 121 (1966), 340-357
- DOI: https://doi.org/10.1090/S0002-9947-1966-0195117-8
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References
- John Riordan, An introduction to combinatorial analysis, Wiley Publications in Mathematical Statistics, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1958. MR 0096594
- W. Gontcharoff, Sur la distribution des cycles dans les permutations, C. R. (Doklady) Acad. Sci. URSS (N.S.) 35 (1942), 267–269. MR 0007207 —, Du domaine d’analyse combinatoire, Bull. Acad. Sci. USSR Ser. Mat. (Izv. Akad. Nauk SSSR) 8 (1944), 3-48; Amer. Math. Soc. Transl. (2) 19 (1962), 1-46. S. W. Golomb, L. R. Welch and R. M. Goldstein, Cycles from nonlinear shift registers Progress Rep. No. 20-389, Jet Propulsion Laboratory, California Institute of Technology, Pasadena, Calif., 1959. S. W. Golomb, Random permutations, Bull. Amer. Math. Soc. 70 (1964), 747. E. T. Whittaker and G. N. Watson, Modern analysis, Cambridge Univ. Press, New York, 1948. N. G. de Bruijn, Asymptotic methods in analysis, North-Holland, Amsterdam, 1961.
- Gustav Doetsch, Theorie und Anwendung der Laplace-Transformation, Dover Publications, New York, 1943 (German). MR 0009225
- Mark Kac, Probability and related topics in physical sciences, Lectures in Applied Mathematics, Interscience Publishers, London-New York, 1959. With special lectures by G. E. Uhlenbeck, A. R. Hibbs, and B. van der Pol. MR 0102849
Bibliographic Information
- © Copyright 1966 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 121 (1966), 340-357
- MSC: Primary 60.10
- DOI: https://doi.org/10.1090/S0002-9947-1966-0195117-8
- MathSciNet review: 0195117