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. Borodin, A, Okounkov, A., and Olshanski, G. (2000). Asymptotics of Plancherel measures for symmetric groups. J. Amer. Math. Soc. 13, 481-515. Math. Review 2001g:05103
  2. Burton, R., and Pemantle, R. (1993). Local characteristics, entropy, and limit theorems for spanning trees and domino tilings via transfer-impedances. Ann. Probab. 21. 1329-1371. Math. Review 94m:60019
  3. Costin, O. and Lebowitz, J. (1995). Gaussian fluctuations in random matrices. Phys. Review Letters 75, 69-72.
  4. Diaconis, P. (2003). Patterns in eigenvalues: the 70th Josiah Willard Gibbs lecture. Linear functionals of eigenvalues of random matrices. Bull. Amer. Math. Soc. 40, 155-178. Math. Review 2004d:15017
  5. Diaconis, P. and Evans, S.N. (2001). Linear functionals of eigenvalues of random matrices. Trans. AMS 353, 2615-2633. Math. Review 2002d:60003
  6. Ginibre, J. (1965). Statistical ensembles of complex, quaternion, and real matrices. J. Math. Phys. 6, 440-449. Math. Review 30 #3936
  7. Helgason, S. Geometric analysis on symmetric spaces, Volume~39 of Mathematical Surveys and Monographs. American Mathematical Society, Providence, RI, 1994. Math. Review 96h:43009
  8. Hough, J., Krishnapur, M., Peres, Y., and Virag, B. (2006) Determinantal processes and independence. Probab. Surveys. 3, 206-229. Math. Review 2006m:60068
  9. Math. Review 2002m:82028
  10. Krishnapur, M. (2006) Zeros of Random Analytic Functions. Ph. D. thesis. Univ. of Ca., Berkeley. arXiv:math.PR/0607504 .
  11. Lyons, R. (2003). Determinantal probability measures. Publ. Math. Inst. Hautes Etudes Sci. 98, 167-212. Math. Review 2005b:60024
  12. Lyons, R., and Steif, J. (2003). Stationary determinantal processes: phase multiplicity, Bernoullicity, entropy, and domination. Duke Math J. 120, 515-575. Math. Review 2004k:60100
  13. Macchi, O. (1975). The coincidence approach to stochastic point processes. Adv. Appl. Probab. 7, 83-122. Math. Review 52 #1876
  14. Peres, Y. and Virag, B. (2005). Zeros of the i.i.d. Gaussian power series: a conformally invariant determinantal process. Acta. Math., 194, 1-35.
  15. Rider, B., and Virag, B. (2007). The noise in the circular law and the Gaussian free field. Int. Math. Res. Notices, 2007, article ID rnm006, 32pp.
  16. Sheffield, S. (2005). Gaussian free fields for mathematicians. Preprint, arXiv:math.PR/0312099.
  17. Shirai, T. and Takahashi, Y. (2003) Random point fields associated with certain Fredholm determinants. II. Fermion shifts and their ergodic and Gibbs properties. Ann. Probab. 31 no. 3, 1533-1564. Math. Review 2004k:60146
  18. Sodin, M. and Tsielson, B. (2006) Random complex zeroes, I. Asymptotic normalitiy. Israel Journal of Mathematics 152, 125-149. Math. Review 2005k:60079
  19. Soshnikov, A. (2000) Determinantal random fields. Russian Math. Surveys 55, no. 5, 923-975. Math. Review 2002f:60097
  20. Soshnikov, A (2000). Central Limit Theorem for local linear statistics in classical compact groups and related combinatorial identities. Ann. Probab. 28, 1353-1370. Math. Review 2002f:15035
  21. Soshnikov, A (2002). Gaussian limits for determinantal random point fields. Ann. Probab. 30, 171-181. Math. Review 2003e:60106


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