Equidistribution speed for endomorphisms of projective spaces

DOI10.1007/s00208-009-0445-2zbMath1206.37023arXiv0901.3000OpenAlexW2036268698MaRDI QIDQ971898

Nessim Sibony, Tien-Cuong Dinh

Publication date: 17 May 2010

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.3000

zbMATH Keywords

plurisubharmonic functionsequilibrium measurecomplex projective spacesZariski open setholomorphic endomorphims

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50)

Related Items (16)

Local regularity of super-potentials and equidistribution of positive closed currents on \({\mathbb {P}}^k\) ⋮ Dynamical tropicalisation ⋮ Large entropy measures for endomorphisms of \(\mathbb{CP}^k\) ⋮ Dynamics of holomorphic correspondences on Riemann surfaces ⋮ Equilibrium states of endomorphisms of \(\mathbb{P}^k\). I: Existence and properties ⋮ The Mandelbrot set is the shadow of a Julia set ⋮ Computability of Brolin-Lyubich measure ⋮ Equidistribution speed towards the Green current for endomorphisms of \(\mathbb P^k\) ⋮ Normal projective varieties admitting polarized or int-amplified endomorphisms ⋮ The degree of proper holomorphic mappings between special domains in \(\mathbb{C}^n\) ⋮ Equidistribution in higher codimension for holomorphic endomorphisms of $\mathbb {P}^k$ ⋮ Łojasiewicz-type inequalities in complex analysis ⋮ Equidistribution speed towards the Green current for endomorphisms of \(\mathbb P^k\) ⋮ Equidistribution of non-pluripolar products associated with quasi-plurisubharmonic functions of finite energy ⋮ Equidistribution problems in complex dynamics of higher dimension ⋮ Computable Geometric Complex Analysis and Complex Dynamics

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