Exponential estimates for plurisubharmonic functions and stochastic dynamics
By T. Dinh, Viet Anh Nguyen, N. Sibony. 2008
69 citations recorded by the source corpus.
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.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/9b7a3049f199a9897c6f7d722d082cc9901e5e25
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In Applied Mathematics
- Duong H. Phong
- Jacob Sturm
- G'abor Sz'ekelyhidi
- B. Weinkove
- Robert J. Berman
- Valentino Tosatti
- Tam'as Darvas
- Simon Donaldson
In Geometry and Topology
- Duong H. Phong
- Jacob Sturm
- G'abor Sz'ekelyhidi
- B. Weinkove
- Robert J. Berman
- Valentino Tosatti
- Tam'as Darvas
- Simon Donaldson
Citations in the corpus
- Lectures on Stability and Constant Scalar Curvature (2008, background): “More general exponential estimates for plurisubharmonic functions with respect to certain probability measures are in Dinh, Nguyen, and Sibony [41].”