Exponential estimates for plurisubharmonic functions
Dinh, Tien-Cuong ; Nguyên, Viêt-Anh ; Sibony, Nessim
J. Differential Geom., Tome 84 (2010) no. 1, p. 465-488 / Harvested from Project Euclid
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We prove exponential estimates for plurisubharmonic functions with respect to Monge-Ampère measures with Hölder 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 Hölder continuous observables.
Publié le : 2010-03-15
Classification:  
@article{1279114298,
     author = {Dinh, Tien-Cuong and Nguy\^en, Vi\^et-Anh and Sibony, Nessim},
     title = {Exponential estimates for plurisubharmonic functions},
     journal = {J. Differential Geom.},
     volume = {84},
     number = {1},
     year = {2010},
     pages = { 465-488},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1279114298}
}

Dinh, Tien-Cuong; Nguyên, Viêt-Anh; Sibony, Nessim. Exponential estimates for plurisubharmonic functions. J. Differential Geom., Tome 84 (2010) no. 1, pp.  465-488. http://gdmltest.u-ga.fr/item/1279114298/