On the connection problem for Painlev\'e I

Autor:	Lisovyy, O., Roussillon, J.
Rok vydání:	2016
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems Mathematical Physics Mathematics - Classical Analysis and ODEs
Zdroj:	J. Phys. A: Math. Theor. 50 (2017) 255202
Druh dokumentu:	Working Paper
DOI:	10.1088/1751-8121/aa6e12
Popis:	We study the dependence of the tau function of Painlev\'e I equation on the generalized monodromy of the associated linear problem. In particular, we compute connection constants relating the tau function asymptotics on five canonical rays at infinity. The result is expressed in terms of dilogarithms of cluster type coordinates on the space of Stokes data. Comment: 13 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1612.08382 Zobrazit plný text záznamu View this record from Arxiv