Exponential estimates for plurisubharmonic functions and stochastic dynamics

Details Exponential estimates for plurisubharmonic functions and stochastic dynamics Exponential estimates for plurisubharmonic functions and stochastic dynamics

2008-01-13

arxiv.org/abs/0801.1983v2

Mathematics

Complex Variables

24 pages, theorem and references added

Scientific paper

We 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.

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