Bounded hyperbolic components of bicritical rational maps

Abstract

We prove that the hyperbolic components of bicritical rational maps having two distinct attracting cycles each of period at least two are bounded in the moduli space of bicritical rational maps. Our arguments rely on arithmetic methods.

arXiv comment17 pages

References in corpus (2)

• Infinitesimal Thurston Rigidity and the Fatou-Shishikura Inequality
• Boundedness of Hyperbolic Components of Newton Maps

Cited by in corpus (2)

• Circle packings, kissing reflection groups and critically fixed anti-rational maps
• Perturbations of graphs for Newton maps