Pseudo-random endomorphisms in projective spaces. II

DOI10.1007/s12220-013-9422-9zbMath1322.32015OpenAlexW2030383501MaRDI QIDQ2256828

Henry de Thélin

Publication date: 23 February 2015

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-013-9422-9

zbMATH Keywords

entropycomplex dynamicsrandom maps

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) 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) Currents (32U40)

Related Items (2)

Study of hyperbolic measures for meromorphic maps ⋮ Dynamical properties of families of holomorphic mappings

Cites Work

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• Distribution of the values of meromorphic transformations and applications
• Coherent structures and isolated spectrum for Perron–Frobenius cocycles
• Entropy and volume
• Random iterations of rational functions
• A Relativised Variational Principle for Continuous Transformations
• Random iteration in ${\mathbf P}^{\bm{k}}$
• Two characterizations of equilibrium measure of an endomorphism of \(P^k(\mathbb{C})\)

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