Bounded hyperbolic components of quadratic rational maps

Authors
Epstein, AL
Citation
Al. Epstein, Bounded hyperbolic components of quadratic rational maps, ERGOD TH DY, 20, 2000, pp. 727-748
Citations number
22
Categorie Soggetti
Mathematics
Journal title
ERGODIC THEORY AND DYNAMICAL SYSTEMS
ISSN journal
01433857 → ACNP
Volume
20
Year of publication
2000
Part
3
Pages
727 - 748
Database
ISI
SICI code
0143-3857(200006)20:<727:BHCOQR>2.0.ZU;2-5
Abstract
Let H be a hyperbolic component of quadratic rational maps possessing two d istinct attracting cycles. We show that H has compact closure in moduli spa ce if and only if neither attractor is a fixed point.