TY - JOUR T1 - On the Critical Behavior, the Connection Problem and the Elliptic Representation of a Painlevé VI Equation JF - Mathematical Physics, Analysis and Geometry 4: 293–377, 2001 Y1 - 2001 A1 - Davide Guzzetti KW - Painleve Equations, Isomonodromy deformations AB - In this paper we find a class of solutions of the sixth Painlevé equation appearing in\r\nthe theory of WDVV equations. This class covers almost all the monodromy data associated to\r\nthe equation, except one point in the space of the data. We describe the critical behavior close to\r\nthe critical points in terms of two parameters and we find the relation among the parameters at\r\nthe different critical points (connection problem). We also study the critical behavior of Painlevé\r\ntranscendents in the elliptic representation. PB - Kluwer Academic Publishers U1 - 6477 U2 - Mathematics U4 - 1 U5 - MAT/07 FISICA MATEMATICA ER -