Recurrent and periodic points in dendritic Julia sets

DOI10.1090/S0002-9939-2013-11633-3zbMath1326.37030arXiv1201.2541WikidataQ121176865 ScholiaQ121176865MaRDI QIDQ2845434

Alexander M. Blokh

Publication date: 30 August 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.2541

zbMATH Keywords

periodic pointinterval mapdendriterecurrent point

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Continua theory in dynamics (37B45) Dynamical systems involving maps of the interval (37E05) Dynamical systems involving maps of trees and graphs (37E25)

Related Items

Periodic points and transitivity on dendrites, Structures of quasi-graphs and $\omega $-limit sets of quasi-graph maps, Remarks on the existence of periodic points for continuous maps on dendrites

Cites Work

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• Topological polynomials with a simple core
• Sarkovskii's Theorem for Hereditarily Decomposable Chainable Continua
• Periodic and Limit Orbits and the Depth of the Center for Piecewise Monotone Interval Maps
• Rotation numbers, twists and a Sharkovskii–Misiurewicz-type ordering for patterns on the interval
• New order for periodic orbits of interval maps
• An inequality for laminations, Julia sets and ‘growing trees’
• Fixed Point Theorems for Plane Continua with Applications