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Repelling Periodic Points in the Julia Set
Author(s) -
Schwick Wilhelm
Publication year - 1997
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609396007035
Subject(s) - julia set , mathematics , mathematics subject classification , closure (psychology) , set (abstract data type) , elementary proof , rational function , pure mathematics , periodic point , function (biology) , subject (documents) , mathematical analysis , calculus (dental) , combinatorics , computer science , law , programming language , medicine , dentistry , evolutionary biology , library science , political science , biology
We give an elementary proof for the fact that the Julia set of a rational or entire function is the closure of the repelling periodic points. 1991 Mathematics Subject Classification 30D05, 30D35, 30D45.