Asymptotics of the Tacnode process: a transition between the gap probabilities from the Tacnode to the Airy process

Autor:	Girotti, Manuela
Rok vydání:	2014
Předmět:	Mathematical Physics Nonlinear Sciences - Exactly Solvable and Integrable Systems
Druh dokumentu:	Working Paper
DOI:	10.1088/0951-7715/27/8/1937
Popis:	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. Comment: 38 pages, 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1401.5446 Zobrazit plný text záznamu View this record from Arxiv