On backward stability of holomorphic dynamical systems

G. Levin*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

31 Scopus citations


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.

Original languageAmerican English
Pages (from-to)97-107
Number of pages11
JournalFundamenta Mathematicae
Issue number2
StatePublished - 1999


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