English

A determinantal formula for the GOE Tracy-Widom distribution

Mathematical Physics 2007-05-23 v2 Statistical Mechanics math.MP Probability

Abstract

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

Cite

@article{arxiv.math-ph/0505012,
  title  = {A determinantal formula for the GOE Tracy-Widom distribution},
  author = {Patrik L. Ferrari and Herbert Spohn},
  journal= {arXiv preprint arXiv:math-ph/0505012},
  year   = {2007}
}

Comments

7 pages, no figures, Latex2e; To appear in J.Phys.A