Equidistribution of non-pluripolar products associated with\n quasi-plurisubharmonic functions of finite energy

2018/11/07 by Taeyong Ahn, Ngoc Cuong Nguyen, Ahn, Taeyong +1
Mathematics · Physics and Astronomy · #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometry and complex manifolds #Holomorphic and Operator Theory #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1811.03017

openalex publication_date 2018/11/07 · openalex created_date 2022/08/02 · openalex updated_date 2026/07/28

Abstract

In this article, we consider currents given by the p-fold non-pluripolar\nproduct associated with a quasi-plurisubharmonic function of finite energy, and\nprove that normalized pull-backs of such currents converge to the Green (p,\np)-current exponentially fast in the sense of currents for holomorphic\nendomorphisms of Pk.\n

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