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Volume 27 - October 1984

Contents

Page 3 of 3

Research Article

  • Young tableaux and longest monotone subsequences: An inequality and a conjecture

  • A. D. Gordon
  • Published online by Cambridge University Press:
    20 January 2009, pp. 341-344
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  • Much work has been done on the following problem, which is sometimes referred to as Ulam's problem: what is the distribution of , the length (i.e. number of terms) of a longest monotone increasing [decreasing] subsequence of (not necessarily consecutive) terms in a random permutation of the first N integers? For example, it has been shown that converges almost surely to 2 [6,7,9]. In some cases, it is important to know the value of βN(j), the number of permutations for which αN=j

Book Reviews

Front matter

  • PEM volume 27 issue 1 Cover and Front matter

  • Published online by Cambridge University Press:
    20 January 2009, pp. f1-f2
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Book Reviews

  • J. M. Ball,(ed) Systems of nonlinear partial differential equations (D. Reidel, Dordrecht, 1983), ix + 481 pp., Dfl. 150.

  • B. D. Sleeman
  • Published online by Cambridge University Press:
    20 January 2009, pp. 235-236
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Back matter

  • PEM volume 27 issue 1 Cover and Back matter

  • Published online by Cambridge University Press:
    20 January 2009, p. b1
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Front matter

  • PEM volume 27 issue 2 Cover and Front matter

  • Published online by Cambridge University Press:
    20 January 2009, pp. f1-f2
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Back matter

  • PEM volume 27 issue 2 Cover and Back matter

  • Published online by Cambridge University Press:
    20 January 2009, p. b1
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Book Reviews

  • K. T. Smith, Primer of modern analysis (Springer-Verlag, 2nd ed.1983), xv + 446 pp. DM97.

  • J. Duncan
  • Published online by Cambridge University Press:
    20 January 2009, pp. 346-347
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  • Wilhelm Blaschke, Gesammelte Werke, Band I ed. by W. Burau, S. S. Chern et al. (Thales-Verlag, Essen1982), pp. 365.

  • Tom Willmore
  • Published online by Cambridge University Press:
    20 January 2009, pp. 347-349
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Fornt matter

  • PEM volume 27 issue 3 Cover and Fornt matter

  • Published online by Cambridge University Press:
    20 January 2009, pp. f1-f2
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Back matter

  • PEM volume 27 issue 3 Cover and Back matter

  • Published online by Cambridge University Press:
    20 January 2009, pp. b1-b6
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Page 3 of 3