Premium
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.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom