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.
References
| Aldous, David; Diaconis, Persi. Longest increasing subsequences: from patience sorting to the Baik-Deift-Johansson theorem.
Bull. Amer. Math. Soc. (N.S.) 36 (1999), no. 4, 413--432. MR1694204 (2000g:60013) |
| Baik, Jinho; Deift, Percy; Johansson, Kurt. On the distribution of the length of the longest increasing subsequence of random permutations.
J. Amer. Math. Soc. 12 (1999), no. 4, 1119--1178. MR1682248 (2000e:05006) |
| Baik, Jinho; Deift, Percy; McLaughlin, Ken T.-R.; Miller, Peter; Zhou, Xin. Optimal tail estimates for directed last passage site percolation with geometric random variables.
Adv. Theor. Math. Phys. 5 (2001), no. 6, 1207--1250. MR1926668 (2003h:60141) |
| Capitaine, M.; Casalis, M. Asymptotic freeness by generalized moments for Gaussian and Wishart matrices. Application to beta random matrices.
Indiana Univ. Math. J. 53 (2004), no. 2, 397--431. MR2060040 |
| Chihara, T. S. An introduction to orthogonal polynomials.
Mathematics and its Applications, Vol. 13.
Gordon and Breach Science Publishers, New York-London-Paris, 1978. xii+249 pp. ISBN: 0-677-04150-0 MR0481884 (58 #1979) |
| Collins, B. Product of random projections, Jacobi ensembles and universality
problems arising from free probability.
Probab. Theory Relat. Fields (2005). Math. Review number not available.
|
| Deift, P. A. Orthogonal polynomials and random matrices: a Riemann-Hilbert approach.
Courant Lecture Notes in Mathematics, 3. New York University, Courant Institute of Mathematical Sciences, New York; American Mathematical Society, Providence, RI, 1999. viii+273 pp. ISBN: 0-9658703-2-4; 0-8218-2695-6 MR1677884 (2000g:47048) |
| Dragnev, P. D.; Saff, E. B. Constrained energy problems with applications to orthogonal polynomials of a discrete variable.
J. Anal. Math. 72 (1997), 223--259. MR1482996 (99f:42048) |
| Forrester, P. J.
Log-gases and random matrices (2002). Math. Review number not available.
|
| Haagerup, Uffe; Thorbjørnsen, Steen. Random matrices with complex Gaussian entries.
Expo. Math. 21 (2003), no. 4, 293--337. MR2022002 (2005b:46142) |
| Johansson, Kurt. Shape fluctuations and random matrices.
Comm. Math. Phys. 209 (2000), no. 2, 437--476. MR1737991 (2001h:60177) |
| Johansson, Kurt. Discrete orthogonal polynomial ensembles and the Plancherel measure.
Ann. of Math. (2) 153 (2001), no. 1, 259--296. MR1826414 (2002g:05188) |
| Johansson, Kurt. Non-intersecting paths, random tilings and random matrices.
Probab. Theory Related Fields 123 (2002), no. 2, 225--280. MR1900323 (2003h:15035) |
| Johnstone, Iain M. On the distribution of the largest eigenvalue in principal components analysis.
Ann. Statist. 29 (2001), no. 2, 295--327. MR1863961 (2002i:62115) |
| Koekoek, R. Swarttouw, R. F.
The Askey scheme
of hypergeometric orthogonal polynomials and its q-analogue (1998).
http://aw.twi.tudelft.nl/ $sim$ koekoek/askey/index.html
|
| König, W. Orthogonal polynomial ensembles
in probability theory (2004).
|
| Kuijlaars, A. B. J.; Van Assche, W. The asymptotic zero distribution of orthogonal polynomials with varying recurrence coefficients.
J. Approx. Theory 99 (1999), no. 1, 167--197. MR1696553 (2000h:42015) |
| Ledoux, M. Differential operators and spectral distributions of invariant ensembles from the classical orthogonal polynomials. The continuous case.
Electron. J. Probab. 9 (2004), no. 7, 177--208 (electronic). MR2041832 (2004m:60070) |
| Löwe, Matthias; Merkl, Franz. Moderate deviations for longest increasing subsequences: the upper tail.
Comm. Pure Appl. Math. 54 (2001), no. 12, 1488--1520. MR1852980 (2002f:60045) |
| Máté, Attila; Nevai, Paul; Totik, Vilmos. Strong and weak convergence of orthogonal polynomials.
Amer. J. Math. 109 (1987), no. 2, 239--281. MR0882423 (88d:42040) |
| Mehta, Madan Lal. Random matrices.
Second edition.
Academic Press, Inc., Boston, MA, 1991. xviii+562 pp. ISBN: 0-12-488051-7 MR1083764 (92f:82002) |
| Saff, Edward B.; Totik, Vilmos. Logarithmic potentials with external fields.
Appendix B by Thomas Bloom.
Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 316. Springer-Verlag, Berlin, 1997. xvi+505 pp. ISBN: 3-540-57078-0 MR1485778 (99h:31001) |
| Seppäläinen, T. Coupling the totally asymmetric simple exclusion process with a moving interface.
I Brazilian School in Probability (Rio de Janeiro, 1997).
Markov Process. Related Fields 4 (1998), no. 4, 593--628. MR1677061 (2000c:60163) |
| Seppäläinen, Timo. Exact limiting shape for a simplified model of first-passage percolation on the plane.
Ann. Probab. 26 (1998), no. 3, 1232--1250. MR1640344 (99e:60220) |
| Szegö, Gábor. Orthogonal polynomials.
Fourth edition.
American Mathematical Society, Colloquium Publications, Vol. XXIII.
American Mathematical Society, Providence, R.I., 1975. xiii+432 pp. MR0372517 (51 #8724) |
