@article {2008,
title = {On the Logarithmic Asymptotics of the Sixth Painleve\' Equation (Summer 2007)},
journal = {J.Phys.A: Math.Theor. 41,(2008), 205201-205247},
number = {arXiv:0801.1157;},
year = {2008},
note = {This paper appeared as a preprint in August 2007. It is published in Journal of Physics A: Mathematical and Theoretical, Volume 41, Issue 20, 6 May 2008, p. 205201-205247. It was on the archive in January 2008 (arXiv:0801.1157). This version does not differ from the published one except for two facts: 1)the addition of subsection 8.2, which proves that tr(M0Mx) = -2 for solutions y(x) \~{} a (ln x)n , n = 1, 2, x {\textrightarrow} 0. 2). The title of the journal article is : The logarithmic asymptotics of the sixth Painlev{\'e} equation},
publisher = {SISSA},
abstract = {We study the solutions of the sixth Painlev\'e equation with a logarithmic\r\nasymptotic behavior at a critical point. We compute the monodromy group\r\nassociated to the solutions by the method of monodromy preserving deformations\r\nand we characterize the asymptotic behavior in terms of the monodromy itself.},
doi = {10.1088/1751-8113/41/20/205201},
url = {http://hdl.handle.net/1963/6521},
author = {Davide Guzzetti}
}