CRITICAL-POINTS ON THE BOUNDARIES OF SIEGEL DISKS

Authors
ROGERS JT
Citation
Jt. Rogers, CRITICAL-POINTS ON THE BOUNDARIES OF SIEGEL DISKS, Bulletin, new series, of the American Mathematical Society, 32(3), 1995, pp. 317-321
Citations number
13
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Bulletin, new series, of the American Mathematical Society → ACNP
ISSN journal
02730979
Volume
32
Issue
3
Year of publication
1995
Pages
317 - 321
Database
ISI
SICI code
0273-0979(1995)32:3<317:COTBOS>2.0.ZU;2-4
Abstract
Let f be a polynomial map of the Riemann sphere of degree at least two . We prove that if f has a Siegel disk G on which the rotation number satisfies a diophantine condition, then the boundary of G contains a c ritical point.