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Boundary of Fatou sets of hyperbolic rational maps or degree two

Technical Report:

Abstract

If g(z) is a hyperbolic rational map of degree two which is not conjugate to z{sup 2} + c for some c is an element of C-bar and J(g), the Julia set of g, is connected, then we show that the boundary of the components of C-bar / J(g) are Jordan curves. (author). 5 refs, 1 fig.
Authors:
Publication Date:
Oct 01, 1992
Product Type:
Technical Report
Report Number:
IC-92/322
Reference Number:
SCA: 661300; PA: AIX-24:008150; SN: 93000932890
Resource Relation:
Other Information: PBD: Oct 1992
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; MAPPING FIBRATION; POLYNOMIALS; TOPOLOGICAL MAPPING; 661300; OTHER ASPECTS OF PHYSICAL SCIENCE
OSTI ID:
10119503
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE93613031; TRN: XA9233104008150
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
[9] p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Ahmadi, D. Boundary of Fatou sets of hyperbolic rational maps or degree two. IAEA: N. p., 1992. Web.
Ahmadi, D. Boundary of Fatou sets of hyperbolic rational maps or degree two. IAEA.
Ahmadi, D. 1992. "Boundary of Fatou sets of hyperbolic rational maps or degree two." IAEA.
@misc{etde_10119503,
title = {Boundary of Fatou sets of hyperbolic rational maps or degree two}
author = {Ahmadi, D}
abstractNote = {If g(z) is a hyperbolic rational map of degree two which is not conjugate to z{sup 2} + c for some c is an element of C-bar and J(g), the Julia set of g, is connected, then we show that the boundary of the components of C-bar / J(g) are Jordan curves. (author). 5 refs, 1 fig.}
place = {IAEA}
year = {1992}
month = {Oct}
}