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arXiv · 0801.1983

Exponential estimates for plurisubharmonic functions and stochastic dynamics

Tien-Cuong Dinh·Viet-Anh Nguyen·Nessim Sibony
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Abstract

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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Tien-Cuong Dinh, Viet-Anh Nguyen, Nessim Sibony. 2008-03-04. Exponential estimates for plurisubharmonic functions and stochastic dynamics. https://arxiv.org/abs/0801.1983

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