Geometric limits of mixed families

Christian Henriksen*, Carsten Lunde Petersen

*Corresponding author

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

Abstract

Letting f and h denoting rational maps of degree at least 2 and 1 respectively, and denote by (Formula presented.) the nth iterate of f. We give upper and lower bounds on the set of accumulation points of the Julia sets (Formula presented.) with respect to the Hausdorff metric on non-empty compact subsets of the sphere.

OriginalsprogEngelsk
TidsskriftJournal of Difference Equations and Applications
Vol/bind28
Udgave nummer6
Sider (fra-til)771-776
Antal sider6
ISSN1023-6198
DOI
StatusUdgivet - 2022

Emneord

  • geometric limit
  • Hausdorff convergence
  • Julia set
  • rational iteration

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