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Complex dynamics

Complex dynamics, or holomorphic dynamics, is the study of dynamical systems obtained by iterating a complex analytic mapping. This article focuses on the case of algebraic dynamics, where a polynomial or rational function is iterated. In geometric terms, that amounts to iterating a mapping from some algebraic variety to itself. The related theory of…

Art, Dynamics in complex dimension 1 & The equilibrium measure of an endomorphism

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Dynamics in complex dimension 1

The equilibrium measure of an endomorphism

Automorphisms of projective varieties

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Complex dynamics

Nodes96
Edges95
Triples110
Avg. degree1.98
Density0.020833
Components1

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Complex dynamics

Top relations

related to References · 88
Complex dynamics → Advances, Alan, Alexander, Algebraic Geometry, American Mathematical Society, Anna, Araceli, Aspects, Automorphisms, Banff, BF01234434, Bibcode, Cambridge University Press, Christophe, CMH/21, Commentarii Mathematici Helvetici, Complex, Daniel, Dinh, Dupont
related to Automorphisms of projective varieties · 8
Complex dynamics → Explicitly, Gromov, Hodge, More, One, The, Then, Yosef Yomdin
related to The equilibrium measure of an endomorphism · 7
Complex dynamics → Complex, CP, Let, Note, Such, The, This
related to Dynamics in complex dimension 1 · 6
Complex dynamics → An, CP, Here, If, It, The
is a · 1
Complex dynamics → mapping f

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displaystyle measure mathbf complex cp equilibrium dynamics points mu set dimension entropy periodic support automorphism rational projective point positive julia

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SubjectPredicateObjectConfidenceSrc
Complex dynamicsis amapping f0.90text
Complex dynamicsrelated to Automorphisms of projective varietiesMore0.60section
Complex dynamicsrelated to Automorphisms of projective varietiesOne0.60section
Complex dynamicsrelated to Automorphisms of projective varietiesThe0.60section
Complex dynamicsrelated to Automorphisms of projective varietiesGromov0.60section
Complex dynamicsrelated to Automorphisms of projective varietiesYosef Yomdin0.60section
Complex dynamicsrelated to Automorphisms of projective varietiesExplicitly0.60section
Complex dynamicsrelated to Automorphisms of projective varietiesHodge0.60section
Complex dynamicsrelated to Automorphisms of projective varietiesThen0.60section
Complex dynamicsrelated to Dynamics in complex dimension 1It0.60section
Complex dynamicsrelated to Dynamics in complex dimension 1CP0.60section
Complex dynamicsrelated to Dynamics in complex dimension 1The0.60section

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