On the Logarithmic Asymptotics of the Sixth Painleve' Equation (Summer 2007)

Abstract

We study the solutions of the sixth Painlevé equation with a logarithmic asymptotic behavior at a critical point. We compute the monodromy group associated to the solutions by the method of monodromy preserving deformations and we characterize the asymptotic behavior in terms of the monodromy itself.

LaTeX with 8 figures

References in corpus (1)

• Matching Procedure for the Sixth Painlevé Equation (May 2006)

Cited by in corpus (7)

• A Review on The Sixth Painleve' Equation
• Tabulation of PVI Transcendents and Parametrization Formulas (August 17, 2011)
• Poles Distribution of PVI Transcendents close to a Critical Point (summer 2011)
• Hamiltonian structure of rational isomonodromic deformation systems
• Analytic solutions of $q$-$P(A_1)$ near its critical points
• Solving the Sixth Painleve' Equation: Towards the Classification of all the Critical Behaviours and the Connection Formulae (October 2010)
• Connection formulas for the lambda generalized Ising correlation functions