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

  • Adler, Mark; Ferrari, Patrik L.; van Moerbeke, Pierre. Airy processes with wanderers and new universality classes. Ann. Probab. 38 (2010), no. 2, 714--769. MR2642890
  • M. Adler, K. Johansson, and P. van Moerbeke, phDouble Aztec diamonds and the tacnode process, ARXIV:1112.5532.
  • Hough, J. Ben; Krishnapur, Manjunath; Peres, Yuval; Virág, Bálint. Determinantal processes and independence. Probab. Surv. 3 (2006), 206--229. MR2216966
  • Borodin, Alexei; Duits, Maurice. Limits of determinantal processes near a tacnode. Ann. Inst. Henri Poincaré Probab. Stat. 47 (2011), no. 1, 243--258. MR2779404
  • A. Borodin and P.L. Ferrari, phAnisotropic growth of random surfaces in 2+1 dimensions, ARXIV:0804.3035.
  • Borodin, Alexei; Ferrari, Patrik L. Large time asymptotics of growth models on space-like paths. I. PushASEP. Electron. J. Probab. 13 (2008), no. 50, 1380--1418. MR2438811
  • Borodin, Alexei; Kuan, Jeffrey. Random surface growth with a wall and Plancherel measures for $\rm O(\infty)$. Comm. Pure Appl. Math. 63 (2010), no. 7, 831--894. MR2662425
  • Delvaux, Steven; Kuijlaars, Arno B. J.; Zhang, Lun. Critical behavior of nonintersecting Brownian motions at a tacnode. Comm. Pure Appl. Math. 64 (2011), no. 10, 1305--1383. MR2849479
  • Ferrari, Patrik L. Polynuclear growth on a flat substrate and edge scaling of GOE eigenvalues. Comm. Math. Phys. 252 (2004), no. 1-3, 77--109. MR2103905
  • Ferrari, Patrik L.; Spohn, Herbert. Step fluctuations for a faceted crystal. J. Statist. Phys. 113 (2003), no. 1-2, 1--46. MR2012974
  • Johansson, Kurt. Non-intersecting paths, random tilings and random matrices. Probab. Theory Related Fields 123 (2002), no. 2, 225--280. MR1900323
  • Johansson, Kurt. Discrete polynuclear growth and determinantal processes. Comm. Math. Phys. 242 (2003), no. 1-2, 277--329. MR2018275
  • Johansson, Kurt. Non-intersecting, simple, symmetric random walks and the extended Hahn kernel. Ann. Inst. Fourier (Grenoble) 55 (2005), no. 6, 2129--2145. MR2187949
  • Johansson, Kurt. Random matrices and determinantal processes. Mathematical statistical physics, 1--55, Elsevier B. V., Amsterdam, 2006. MR2581882
  • K. Johansson, phNon-colliding Brownian Motions and the extended tacnode process, ARXIV:1105.4027.
  • Karlin, Samuel; McGregor, James. Coincidence probabilities. Pacific J. Math. 9 1959 1141--1164. MR0114248
  • Katori, Makoto; Tanemura, Hideki. Symmetry of matrix-valued stochastic processes and noncolliding diffusion particle systems. J. Math. Phys. 45 (2004), no. 8, 3058--3085. MR2077500
  • Katori, Makoto; Tanemura, Hideki. Infinite systems of noncolliding generalized meanders and Riemann-Liouville differintegrals. Probab. Theory Related Fields 138 (2007), no. 1-2, 113--156. MR2288066
  • Lyons, Russell. Determinantal probability measures. Publ. Math. Inst. Hautes Études Sci. No. 98 (2003), 167--212. MR2031202
  • T. Nagao and P.J. Forrester, Multilevel dynamical correlation functions for Dyson's Brownian motion model of random matrices, Phys. Lett. A 247 (1998), 42--46.
  • 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
  • Okounkov, Andrei; Reshetikhin, Nicolai. Random skew plane partitions and the Pearcey process. Comm. Math. Phys. 269 (2007), no. 3, 571--609. MR2276355
  • Prähofer, Michael; Spohn, Herbert. Scale invariance of the PNG droplet and the Airy process. Dedicated to David Ruelle and Yasha Sinai on the occasion of their 65th birthdays. J. Statist. Phys. 108 (2002), no. 5-6, 1071--1106. MR1933446
  • Sasamoto, T.; Imamura, T. Fluctuations of the one-dimensional polynuclear growth model in half-space. J. Statist. Phys. 115 (2004), no. 3-4, 749--803. MR2054161
  • Encyclopedia of mathematical physics. Vol. 1, 2, 3, 4, 5. Edited by Jean-Pierre Françoise, Gregory L. Naber and Tsou Sheung Tsun. Academic Press/Elsevier Science, Oxford, 2006. Vol. 1: l+679 pp.; Vol. 2: l+729 pp.; Vol 3: l+645 pp.; Vol. 4: l+673 pp.; Vol. 5: l+549 pp. ISBN: 978-0-1251-2660-1; 0-12-512660-3 MR2238867
  • Spohn, Herbert. Exact solutions for KPZ-type growth processes, random matrices, and equilibrium shapes of crystals. Phys. A 369 (2006), no. 1, 71--99. MR2246567
  • Tracy, Craig A.; Widom, Harold. The Pearcey process. Comm. Math. Phys. 263 (2006), no. 2, 381--400. MR2207649
  • Tracy, Craig A.; Widom, Harold. Level-spacing distributions and the Airy kernel. Comm. Math. Phys. 159 (1994), no. 1, 151--174. MR1257246


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