Measures and dynamics on Noetherian spaces

DOI10.1007/s12220-013-9394-9zbMath1320.37003arXiv1202.0793OpenAlexW2962936379MaRDI QIDQ472084

William Gignac

Publication date: 18 November 2014

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

Full work available at URL: https://arxiv.org/abs/1202.0793

zbMATH Keywords

dynamical systemsNoetherian spacesZarisky spaces

Mathematics Subject Classification ID

Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

Related Items (8)

Local regularity of super-potentials and equidistribution of positive closed currents on \({\mathbb {P}}^k\) ⋮ A fusion variant of the classical and dynamical Mordell-Lang conjectures in positive characteristic ⋮ Remarks on algebraic dynamics in positive characteristic ⋮ Height gap conjectures, \(D\)-finiteness, and a weak dynamical Mordell-Lang conjecture ⋮ Equidistribution of preimages over nonarchimedean fields for maps of good reduction ⋮ Rational dynamical systems, \(S\)-units, and \(D\)-finite power series ⋮ The dynamical Mordell-Lang problem for Noetherian spaces ⋮ Equidistribution in higher codimension for holomorphic endomorphisms of $\mathbb {P}^k$

Cites Work

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• Equidistribution of preimages over nonarchimedean fields for maps of good reduction
• Brolin's theorem for curves in two complex dimensions.
• Multiplicity of holomorphic functions
• Analytic multiplicative cocycles over holomorphic dynamical systems
• Equilibrium measures for holomorphic endomorphisms of complex projective spaces
• Dynamics on Berkovich Spaces in Low Dimensions
• Théorie ergodique des fractions rationnelles sur un corps ultramétrique

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