The PDF file you selected should load here if your Web browser has a PDF reader plug-in installed (for example, a recent version of Adobe Acrobat Reader).

Alternatively, you can also download the PDF file directly to your computer, from where it can be opened using a PDF reader. To download the PDF, click the Download link below.

If you would like more information about how to print, save, and work with PDFs, Highwire Press provides a helpful Frequently Asked Questions about PDFs.

Download this PDF file Fullscreen Fullscreen Off

References

  1. Billingsley, Patrick. Probability and measure.Second edition.Wiley Series in Probability and Mathematical Statistics: Probability and Mathematical Statistics. John Wiley & Sons, Inc., New York, 1986. xiv+622 pp. ISBN: 0-471-80478-9 MR0830424 (87f:60001)
  2. Chung, Kai Lai. Maxima in Brownian excursions. Bull. Amer. Math. Soc. 81 (1975), 742--745. MR0373035 (51 #9237)
  3. Dvoretzky, A.; Motzkin, Th. A problem of arrangements. Duke Math. J. 14, (1947). 305--313. MR0021531 (9,75i)
  4. Feller, William. An introduction to probability theory and its applications. Vol. I.Third edition John Wiley & Sons, Inc., New York-London-Sydney 1968 xviii+509 pp. MR0228020 (37 #3604)
  5. Flajolet, Philippe; Odlyzko, Andrew. The average height of binary trees and other simple trees. J. Comput. System Sci. 25 (1982), no. 2, 171--213. MR0680517 (84a:68056)
  6. Janson, Svante; Marckert, Jean-François. Convergence of discrete snakes. J. Theoret. Probab. 18 (2005), no. 3, 615--647. MR2167644 (2006g:60126)
  7. Kaigh, W. D. An invariance principle for random walk conditioned by a late return to zero. Ann. Probability 4 (1976), no. 1, 115--121. MR0415706 (54 #3786)
  8. bibitem O. Khorunzhiy, V. Vengerovsky. { Ewen walks and estimates of high moments of large Wigner random matrices}. {\it Preprint arXiv:0806.0157.} Math. Review number not available
  9. Raney, George N. Functional composition patterns and power series reversion. Trans. Amer. Math. Soc. 94 1960 441--451. MR0114765 (22 #5584)
  10. Stanley, Richard P. Enumerative combinatorics. Vol. 2.With a foreword by Gian-Carlo Rota and appendix 1 by Sergey Fomin.Cambridge Studies in Advanced Mathematics, 62. Cambridge University Press, Cambridge, 1999. xii+581 pp. ISBN: 0-521-56069-1; 0-521-78987-7 MR1676282 (2000k:05026)
  11. Pitman, J. Combinatorial stochastic processes.Lectures from the 32nd Summer School on Probability Theory held in Saint-Flour, July 7--24, 2002.With a foreword by Jean Picard.Lecture Notes in Mathematics, 1875. Springer-Verlag, Berlin, 2006. x+256 pp. ISBN: 978-3-540-30990-1; 3-540-30990-X MR2245368 (2008c:60001)
  12. Sinaĭ, Ya. G.; Soshnikov, A. B. A refinement of Wigner's semicircle law in a neighborhood of the spectrum edge for random symmetric matrices.(Russian) Funktsional. Anal. i Prilozhen. 32 (1998), no. 2, 56--79, 96; translation in Funct. Anal. Appl. 32 (1998), no. 2, 114--131 MR1647832 (2000c:82041)
  13. Smith, Laurel; Diaconis, Persi. Honest Bernoulli excursions. J. Appl. Probab. 25 (1988), no. 3, 464--477. MR0954495 (89m:60163)
  14. Soshnikov, Alexander. Universality at the edge of the spectrum in Wigner random matrices. Comm. Math. Phys. 207 (1999), no. 3, 697--733. MR1727234 (2001i:82037)
  15. Wigner, Eugene P. Characteristic vectors of bordered matrices with infinite dimensions. Ann. of Math. (2) 62 (1955), 548--564. MR0077805 (17,1097c)


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.