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ArticleOriginal scientific text

Title

On backward stability of holomorphic dynamical systems

Authors 1

Affiliations

  1. Institute of Mathematics, Hebrew University of Jerusalem, Jerusalem, Israel

Abstract

For a polynomial with one critical point (maybe multiple), which does not have attracting or neutral periodic orbits, we prove that the backward dynamics is stable provided the Julia set is locally connected. The latter is proved to be equivalent to the non-existence of a wandering continuum in the Julia set or to the shrinking of Yoccoz puzzle-pieces to points.

Bibliography

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Fundamenta Mathematicae
1998/158/2
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Pages:
97-107
Main language of publication
English
Received
1996-12-09
Accepted
1997-12-16
Published
1998
Exact and natural sciences