Davide Guzzetti
Solving PVI by Isomonodromy Deformations.
Ср, 06/15/2011 - 15:01 — SomNambulAuthors: Davide Guzzetti
Subjects: Classical Analysis and ODEs
AbstractThe critical and asymptotic behaviors of solutions of the sixth Painlev\'e
equation, an their parametrization in terms of monodromy data, are
synthetically reviewed. The explicit formulas are given.Poles Distribution of PVI Transcendents close to a Critical Point.
Чт, 04/28/2011 - 15:01 — SomNambulAuthors: Davide Guzzetti
Subjects: Classical Analysis and ODEs
AbstractThe distribution of the poles of branches of the Painleve' VI transcendents
associated to semi-simple Frobenius manifolds is determined close to a critical
point. It is shown that the poles accumulate at the critical point,
asymptotically along two rays. The example of the Frobenius manifold given by
the quantum cohomology of the two-dimensional complex projective space is also
considered.An Asymptotic Reduction of a Painleve' VI equation to a Painleve' III (January 2011).
Ср, 01/26/2011 - 16:01 — SomNambulAuthors: Davide Guzzetti
Subjects: Classical Analysis and ODEs
AbstractWhen the independent variable is close to a critical point, it is shown that
PVI can be asymptotically reduced to PIII. In this way, it is possible to
compute the leading term of the critical behaviors of PVI transcendents
starting from the behaviors of PIII transcendents.
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