English

The Airy_1 process is not the limit of the largest eigenvalue in GOE matrix diffusion

Mathematical Physics 2010-03-04 v1 math.MP

Abstract

Using a systematic approach to evaluate Fredholm determinants numerically, we provide convincing evidence that the Airy_1-process, arising as a limit law in stochastic surface growth, is not the limit law for the evolution of the largest eigenvalue in GOE matrix diffusion.

Cite

@article{arxiv.0806.3410,
  title  = {The Airy_1 process is not the limit of the largest eigenvalue in GOE matrix diffusion},
  author = {Folkmar Bornemann and Patrik L. Ferrari and Michael Prähofer},
  journal= {arXiv preprint arXiv:0806.3410},
  year   = {2010}
}

Comments

14 pages, 3 figures

R2 v1 2026-06-21T10:52:53.178Z