Holomorphic dynamics, Painlevé VI equation and Character Varieties.
Overview & Synopsis
We study the monodromy of Painlevé VI equation from a dynamical point of view. This is applied to the description of bounded orbits, and to a proof of the irreducibility of Painlevé VI equation in the sens of Casale and Malgrange. On our way, we compute the entropy of each element of the monodromy group, and we precise the dictionary between character varieties and Painlevé equations.
Indexed from repository: HAL Open Science
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hal.science)
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Document Information
| Document Title | Holomorphic dynamics, Painlevé VI equation and Character Varieties. |
|---|---|
| Author / Organization | Serge Cantat, Frank Loray |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2009 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-216759 |
| Original Source Link | Visit Source Page on hal.science » |