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Mathematics > Dynamical Systems

arXiv:1804.03554 (math)
[Submitted on 10 Apr 2018]

Title:On Completely Invariant Julia Sets of Trascendental Semigroups

Authors:Bishnu Hari Subedi, Ajaya Singh
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Abstract:In holomorphic semigroup dynamics, Julia set is in general backward invariant and so some fundamental results of classical complex dynamics can not be generalized to semigroup dynamics. In this paper, we define completely invariant Julia set of transcendental semigroup and we see how far the results of classical transcendental dynamics generalized to transcendental semigroup dynamics.
Comments: 7 pages. arXiv admin note: text overlap with arXiv:1803.08368
Subjects: Dynamical Systems (math.DS)
Cite as: arXiv:1804.03554 [math.DS]
  (or arXiv:1804.03554v1 [math.DS] for this version)
  https://doi.org/10.48550/arXiv.1804.03554

Submission history

From: Bishnu Hari Subedi [view email]
[v1] Tue, 10 Apr 2018 14:17:32 UTC (7 KB)
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