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A PDE for the multi-time joint probability of the Airy process

Probability 2007-11-27 v1 Mathematical Physics math.MP

Abstract

This paper gives a PDE for multi-time joint probability of the Airy process, which generalizes Adler and van Moerbeke's result on the 2-time case. As an intermediate step, the PDE for the multi-time joint probability of the Dyson Brownian motion is also given.

Cite

@article{arxiv.0711.3797,
  title  = {A PDE for the multi-time joint probability of the Airy process},
  author = {Dong Wang},
  journal= {arXiv preprint arXiv:0711.3797},
  year   = {2007}
}

Comments

21 pages

R2 v1 2026-06-21T09:46:47.131Z