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. Baik, J. and Suidan, T. Random matrix central limit theorems for nonintersecting random walks. Ann. Probab. 35 (2007), 1807--1834. Math. Review 2009i:60038
  2. Bertoin, J. and Doney, R.A. On conditioning a random walk to stay nonnegative. Ann. Probab. 22 (1994), 2152--2167. Math. Review 96b:60168
  3. Bodineau, T. and Martin, J. A universality property for last-passage percolation paths close to the axis . Electron. Comm. in Probab. 10 (2005), 105--112. Math. Review 2006a:60189
  4. Borisov, I.S. On the question of the rate of convergence in the Donsker--Prokhorov invariance principle. Theory Probab. Appl. 28 (1983),388--392. Math. Review 84g:60061
  5. Borovkov, A.A. Notes on inequalities for sums of independent random variables. Theory Probab. Appl. 17 (1972), 556--557. Math. Review 46 #8297
  6. Bryn-Jones, A. and Doney, R.A. A functional limit theorem for random walk conditioned to stay non-negative. J. London Math. Soc. (2) 74 2006, 244--258. Math. Review 2007k:60093
  7. Dyson F.J. A Brownian-motion model for the eigenvalues of a random matrix. J. Math. Phys 3 (1962), 1191--1198. Math. Review 26 #5904
  8. Eichelsbacher, P. and König, W. Ordered random walks. Electron. J. Probab. 13, (2008) 1307--1336. Math. Review 2010b:60134
  9. Grabiner, D.J. Brownian motion in a Weyl chamber, non-colliding particles, and random matrices. Ann. Inst. H. Poincare Probab. Statist., 35(2) (1999), 177--204. Math. Review 2000i:60091
  10. König, W., O'Connell, N. and Roch, S. Non-colliding random walks, tandem queues, and discrete orthogonal polynomial ensembles. Electron. J. Probab. 7, (2002), 1--24. Math. Review 2003e:60174
  11. König, W. Orthogonal polynomial ensembles in probability theory. Probab. Surv. 2 (2005), 385--447. Math. Review 2007e:60007
  12. König, W and Schmid, P. Random walks conditioned to stay in Weyl chambers of type C and D. arXiv:0911.0631 (2009).
  13. Major, P. The approximation of partial sums of rv's. Z. Wahrscheinlichkeitstheorie verw. Gebiete 35 (1976), 213--220. Math. Review 54 #3823
  14. Nagaev, S.V. Large deviations of sums of independent random variables. Ann. Probab. 7 (1979), 745--789. Math. Review 80i:60032
  15. O'Connell, N. and Yor, M. A representation for non-colliding random walks. Elect. Comm. Probab. 7 (2002), 1--12. Math. Review 2003e:60189
  16. Puchala, Z, Rolski, T. The exact asymptotic of the collision time tail distribution for independent Brownian particles with different drifts. Probab. Theory Related Fields 142 (2008), 595--617. Math. Review 2009i:60145
  17. Schapira, B. Random walk on a building of type $\tilde{A}_r$ and Brownian motion on a Weyl chamber. Ann. Inst. H. Poincare Probab. Statist. 45 (2009), 289-301. Math. Review 2521404
  18. Varopoulos, N.Th. Potential theory in conical domains. Math. Proc. Camb. Phil. Soc. 125 (1999), 335--384. Math. Review 99i:60145
Bookmark and Share


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