On the Logarithmic Asymptotics of the Sixth Painleve' Equation (Summer   2007)
  We study the solutions of the sixth Painlev\'e 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. 
Davide Guzzetti