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Title of Journal: Math Ann

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Abbravation: Mathematische Annalen

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Springer Berlin Heidelberg

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DOI

10.1002/prac.570140185

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1432-1807

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A nonlaminar dynamical Green current

Authors: Romain Dujardin
Publish Date: 2015/07/31
Volume: 365, Issue: 1-2, Pages: 77-91
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Abstract

A holomorphic endomorphism f of mathbb CP2 admits a Julia set J 1 defined as usual to be the locus of nonnormality of its iterates fn nge 0 and a typically smaller Julia set J 2 which is essentially the closure of the set of repelling periodic orbits The question has been raised whether J 1setminus J 2 is filled possibly in a measuretheoretic sense with “Fatou subvarieties” along which the dynamics is locally equicontinuous In this article we construct examples showing that this is not the case in general

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  1. Estimates of the Green function for X-elliptic operators
  2. Fibred multilinks and singularities $${f \overline g}$$
  3. The NSLUC property and Klee envelope
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  5. Ricci flow on surfaces with cusps
  6. Artin characters, Hurwitz trees and the lifting problem
  7. Generic non-selfadjoint Zakharov–Shabat operators
  8. Strichartz estimates via the Schrödinger maximal operator
  9. Examples of relative deformation spaces that are not locally connected
  10. Polynomial approximation of Berkovich spaces and definable types
  11. Prographes sylvestres et groupes profinis presque libres
  12. Zone diagrams in Euclidean spaces and in other normed spaces
  13. A critical radius for unit Hopf vector fields on spheres
  14. Many triangulated 3-spheres
  15. New examples of c 0 -saturated Banach spaces
  16. Rational curves, Dynkin diagrams and Fano manifolds with nef tangent bundle
  17. Relatively weakly open sets in closed balls of Banach spaces, and real JB * -triples of finite rank
  18. The Bergman metric on complete Kähler manifolds
  19. Conformal dimension via subcomplexes for small cancellation and random groups
  20. Analytic torsion of Hirzebruch surfaces
  21. Déformations des cônes de vecteurs primitifs
  22. Radial entire solutions for supercritical biharmonic equations
  23. Weighted Calderón–Zygmund and Rellich inequalities in $$L^p$$
  24. On entropy, regularity and rigidity for convex representations of hyperbolic manifolds
  25. Rigidity of proper holomorphic maps between bounded symmetric domains
  26. On CR Paneitz operators and CR pluriharmonic functions
  27. Absence of wandering domains for some real entire functions with bounded singular sets
  28. Isomonodromic deformations of logarithmic connections and stability
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  31. Quantitative mixing results and inner functions
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