| Title | Poles Distribution of PVI Transcendents close to a Critical Point (summer 2011) |
| Publication Type | Journal Article |
| Year of Publication | 2012 |
| Authors | Guzzetti, D |
| Journal | Physica D: Nonlinear Phenomena, Volume 241, Issue 23-24, 1 December 2012, Pages 2188-2203 |
| Keywords | Painleve' equations |
| Abstract | The distribution of the poles of Painlevé 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. As an example, the Frobenius manifold given by the quantum cohomology of CP2 is considered. The general PVI is also considered. |
| URL | http://hdl.handle.net/1963/6526 |
| DOI | 10.1016/j.physd.2012.02.015 |
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