An ergodic study of Painleve VI

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dc.creatorIwasaki, Katsunori
dc.creatorUehara, Takato
dc.date2006-04-27
dc.date.accessioned2026-07-07T07:11:19Z
dc.date.available2026-07-07T07:11:19Z
dc.descriptionAn ergodic study of Painleve VI is developed. The chaotic nature of its Poincare return map is established for almost all loops. The exponential growth of the numbers of periodic solutions is also shown. Principal ingredients of the arguments are a moduli-theoretical formulation of Painleve VI, a Riemann-Hilbert correspondence, the dynamical system of a birational map on a cubic surface, and the Lefschetz fixed point formula.
dc.description40 pages, 11 figures, 4 tables, 32 references, an upgraded version of the article: arXiv: math.AG/0512583
dc.identifierhttps://arxiv.org/abs/math/0604582
dc.identifierhttp://arxiv.org/abs/math/0604582
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111710
dc.subjectAlgebraic Geometry
dc.subjectDynamical Systems
dc.subject34M55; 37F10
dc.titleAn ergodic study of Painleve VI
dc.typetext

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