Dynamics of regular polynomial endomorphisms of Ck

By Eric Bedford, Mattias Jonsson. 2000

65 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/933016bff68e4256c99349ac415545b3d013967b

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In Geometry and Topology

1. Franccois Berteloot
2. Fabrizio Bianchi
3. Christophe Dupont

In Mathematical Physics

1. Christophe Dupont
2. Franccois Berteloot
3. Fabrizio Bianchi

Citations in the corpus

• Dynamical stability and Lyapunov exponents for holomorphic endomorphisms of CP(k) (2014, methodology): “imnd−nlog+ |Pn(z)| is the dynamical Green function of P. This formula was generalized by DeMarco [dM] for the Lyapunov exponent L(f) of a rational map f. In several complex variables, Bedford-Jonsson [BJ] established an analogous formula for the sum of the Lyapunov exponents of polynomials mappings.”