Exponential estimates for plurisubharmonic functions and stochastic dynamics

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dc.creatorDinh, Tien-Cuong
dc.creatorNguyen, Viet-Anh
dc.creatorSibony, Nessim
dc.date2008-01-13
dc.date2008-03-04
dc.date.accessioned2026-07-07T09:24:12Z
dc.date.available2026-07-07T09:24:12Z
dc.descriptionWe prove exponential estimates for plurisubharmonic functions with respect to Monge-Ampere measures with Holder continuous potential. As an application, we obtain several stochastic properties for the equilibrium measures associated to holomorphic maps on projective spaces. More precisely, we prove the exponential decay of correlations, the central limit theorem for general d.s.h. observables, and the large deviations theorem for bounded d.s.h. observables and Holder continuous observables.
dc.description24 pages, theorem and references added
dc.identifierhttps://arxiv.org/abs/0801.1983
dc.identifierhttp://arxiv.org/abs/0801.1983
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156009
dc.subjectComplex Variables
dc.subjectDynamical Systems
dc.subject32U, 37F
dc.titleExponential estimates for plurisubharmonic functions and stochastic dynamics
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