Two characterizations of equilibrium measure of an endomorphism of \(P^k(\mathbb{C})\)

DOI10.1007/s10240-009-0020-0zbMath1185.37105arXivmath/0012057OpenAlexW2023778063MaRDI QIDQ5902117

Julien Duval, Jean-Yves Briend

Publication date: 25 June 2009

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0012057

zbMATH Keywords

complex dynamicscomplex plane holomorphisms

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (7)

Stability and bifurcations in projective holomorphic dynamics ⋮ Automorphisms of surfaces: Kummer rigidity and measure of maximal entropy ⋮ Equilibrium states of endomorphisms of \(\mathbb{P}^k\). I: Existence and properties ⋮ DEGENERATION OF ENDOMORPHISMS OF THE COMPLEX PROJECTIVE SPACE IN THE HYBRID SPACE ⋮ Normal projective varieties admitting polarized or int-amplified endomorphisms ⋮ Equidistribution speed for endomorphisms of projective spaces ⋮ Equidistribution problems in complex dynamics of higher dimension

Cites Work

• Dynamics of polynomial-like mappings
• Multiplicity of holomorphic functions
• Equidistribution towards the Green current for holomorphic maps
• Two characterizations of equilibrium measure of an endomorphism of \(P^k(\mathbb{C})\)

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