Asymptotics of the Tacnode process: a transition between the gap probabilities from the Tacnode to the Airy process
Mathematical Physics
2015-06-18 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
We study the gap probabilities of the single-time Tacnode process. Through steepest descent analysis of a suitable Riemann-Hilbert problem, we show that under appropriate scaling regimes the gap probability of the Tacnode process degenerates into a product of two independent gap probabilities of the Airy processes.
Keywords
Cite
@article{arxiv.1401.5446,
title = {Asymptotics of the Tacnode process: a transition between the gap probabilities from the Tacnode to the Airy process},
author = {Manuela Girotti},
journal= {arXiv preprint arXiv:1401.5446},
year = {2015}
}
Comments
38 pages, 5 figures