Surgery and hyperbolic univalent Baker domains
Por:
Sienra G.
Publicada:
1 ene 2006
Resumen:
We call a star with n-arms a set of n univalent Baker domains (UBDs) , such that for all i, j = 1, ..., n and i ? j, . In this paper we prove that for any numbers u, a ? 1, s ? 0 and numbers ?1, ?2, ..., ?s ? 2, there exists an entire transcendental map with a attracting domains, s stars, each one with ?i arms, i = 1, ..., s and u UBDs not contained in a star. Also, we construct an entire transcendental map with a period two of UBDs {U, f(U)}, such that ? ? f(U)? = ?. © 2006 IOP Publishing Ltd and London Mathematical Society.
Filiaciones:
Sienra G.:
Facultad de Ciencias, UNAM, CU, Av. Universidad 30, México DF, CP 04510, Mexico
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