Quick search Find article
Quick search
Find article

A determinantal formula for the GOE Tracy–Widom distribution

FREE ARTICLE

Patrik L Ferrari and Herbert Spohn

Show affiliations


LETTER TO THE EDITOR

Investigating the long-time asymptotics of the totally asymmetric simple exclusion process, Sasamoto obtains rather indirectly a formula for the Tracy–Widom distribution for the Gaussian orthogonal ensemble. We establish that his novel formula indeed agrees with more standard expressions.


PACS

05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion

02.50.-r Probability theory, stochastic processes, and statistics

02.10.Yn Matrix theory

MSC

60G15 Gaussian processes

15A52 Random matrices

Subjects

Mathematical physics

Computational physics

Statistical physics and nonlinear systems

Dates

Issue 33 (19 August 2005)

Received 4 May 2005, in final form 5 June 2005

Published 3 August 2005



  1. A determinantal formula for the GOE Tracy–Widom distribution

    Patrik L Ferrari and Herbert Spohn 2005 J. Phys. A: Math. Gen. 38 L557

  2. Collective and tracer diffusion kinetics in the ternary random alloy

    I V Belova et al 2002 J. Phys.: Condens. Matter 14 6897

  3. Magnetic resonance spectroscopy (MRS) in the investigation of cancer at The Royal Marsden Hospital and The Institute of Cancer Research

    M O Leach 2006 Phys. Med. Biol. 51 R61

  4. Resonant two-photon ionization of atoms via two coupled Rydberg series

    N J Kylstra et al 1995 J. Phys. B: At. Mol. Opt. Phys. 28 L685

  5. The formation of vertically aligned biaxial tungsten nanorods using a novel shadowing growth technique

    R Krishnan et al 2009 Nanotechnology 20 465609

  6. Structure of Nonlocal Vacuum Condensate of Quarks

    Zhou Li-Juan and Ma Wei-Xing 2003 Chinese Phys. Lett. 20 2137

  7. Evolution of the Inner Circumstellar Envelope of V838 Monocerotis

    J. P. Wisniewski et al 2003 ApJ 598 L43

  8. Quiet-Sun Connection between Intensity, Doppler Shift, and Line Broadening in Solar Ultraviolet Emission Lines

    N. Brynildsen et al 1995 ApJ 455 L81

  9. Mode generation and diffraction at the aperture of a waveguide

    Ian Thompson et al 2005 J. Phys. A: Math. Gen. 38 2701

  10. Tricritical points in polymer systems

    P Serra and J F Stilck 1990 J. Phys. A: Math. Gen. 23 5351

Users also read

What's this?
This innovative new feature generates a list of articles 'also read' by other users based on them reading the original article. Article abstracts citations and references are all considered and weighted accordingly. We hope that this will help you find relevant papers for your research.

  1. Domino tilings and the six-vertex model at its free-fermion point

View by subject




Export








Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.