Holomorphic dynamics, Painlevé VI equation and Character Varieties

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dc.creatorCantat, Serge
dc.creatorLoray, Frank
dc.date2007-11-10
dc.date2007-12-05
dc.date.accessioned2026-07-07T08:47:06Z
dc.date.available2026-07-07T08:47:06Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/0711.1579
dc.identifierhttp://arxiv.org/abs/0711.1579
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143481
dc.subjectDynamical Systems
dc.subjectAlgebraic Geometry
dc.subjectClassical Analysis and ODEs
dc.titleHolomorphic dynamics, Painlevé VI equation and Character Varieties
dc.typetext

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