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


  • Baik, J.; Kriecherbauer, T.; McLaughlin, K. T.-R.; Miller, P. D. Discrete orthogonal polynomials. Asymptotics and applications. Annals of Mathematics Studies, 164. Princeton University Press, Princeton, NJ, 2007. viii+170 pp. ISBN: 978-0-691-12734-7; 0-691-12734-4 MR2283089
  • Borodin, Alexei. Periodic Schur process and cylindric partitions. Duke Math. J. 140 (2007), no. 3, 391--468. MR2362241
  • A. Borodin, phDeterminantal point processes, In: Oxford Handbook on Random Matrix theory, edited by Akemann G.; Baik, J. ; Di Francesco P., Oxford University Press, 2011. (arXiv:0911.1153)
  • Borodin, Alexei; Gorin, Vadim; Rains, Eric M. $q$-distributions on boxed plane partitions. Selecta Math. (N.S.) 16 (2010), no. 4, 731--789. MR2734330
  • Brézin, E.; Hikami, S. Correlations of nearby levels induced by a random potential. Nuclear Phys. B 479 (1996), no. 3, 697--706. MR1418841
  • Dyson, Freeman J. A Brownian-motion model for the eigenvalues of a random matrix. J. Mathematical Phys. 3 1962 1191--1198. MR0148397
  • Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer; Yin, Jun. The local relaxation flow approach to universality of the local statistics for random matrices. Ann. Inst. Henri Poincaré Probab. Stat. 48 (2012), no. 1, 1--46. MR2919197
  • Forrester, P. J. Log-gases and random matrices. London Mathematical Society Monographs Series, 34. Princeton University Press, Princeton, NJ, 2010. xiv+791 pp. ISBN: 978-0-691-12829-0 MR2641363
  • Grabiner, David J. Brownian motion in a Weyl chamber, non-colliding particles, and random matrices. Ann. Inst. H. Poincaré Probab. Statist. 35 (1999), no. 2, 177--204. MR1678525
  • Hough, J. Ben; Krishnapur, Manjunath; Peres, Yuval; Virág, Bálint. Determinantal processes and independence. Probab. Surv. 3 (2006), 206--229. MR2216966
  • Imamura, T.; Sasamoto, T. Correlation function of the Schur process with a fixed final partition. J. Math. Phys. 49 (2008), no. 5, 053302, 20 pp. MR2421909
  • Johansson, Kurt. Universality of the local spacing distribution in certain ensembles of Hermitian Wigner matrices. Comm. Math. Phys. 215 (2001), no. 3, 683--705. MR1810949
  • Johansson, Kurt. Non-intersecting paths, random tilings and random matrices. Probab. Theory Related Fields 123 (2002), no. 2, 225--280. MR1900323
  • Johansson, Kurt. Determinantal processes with number variance saturation. Comm. Math. Phys. 252 (2004), no. 1-3, 111--148. MR2103906
  • Johansson, Kurt. Random matrices and determinantal processes. Mathematical statistical physics, 1--55, Elsevier B. V., Amsterdam, 2006. MR2581882
  • König, Wolfgang. Orthogonal polynomial ensembles in probability theory. Probab. Surv. 2 (2005), 385--447. MR2203677
  • Lyons, Russell. Determinantal probability measures. Publ. Math. Inst. Hautes Études Sci. No. 98 (2003), 167--212. MR2031202
  • Okounkov, Andrei. Infinite wedge and random partitions. Selecta Math. (N.S.) 7 (2001), no. 1, 57--81. MR1856553
  • Okounkov, Andrei. Symmetric functions and random partitions. Symmetric functions 2001: surveys of developments and perspectives, 223--252, NATO Sci. Ser. II Math. Phys. Chem., 74, Kluwer Acad. Publ., Dordrecht, 2002. MR2059364
  • Okounkov, Andrei; Reshetikhin, Nikolai. Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram. J. Amer. Math. Soc. 16 (2003), no. 3, 581--603 (electronic). MR1969205
  • Soshnikov, A. Determinantal random point fields. (Russian) Uspekhi Mat. Nauk 55 (2000), no. 5(335), 107--160; translation in Russian Math. Surveys 55 (2000), no. 5, 923--975 MR1799012
  • A. Soshnikov, phDeterminantal random point fields, in: Encyclopedia of Mathematical Physics, 47--53. Oxford: Elsevier, 2006.
  • Stembridge, John R. Nonintersecting paths, Pfaffians, and plane partitions. Adv. Math. 83 (1990), no. 1, 96--131. MR1069389

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