Holomorphic families of injections
نویسندگان
چکیده
منابع مشابه
Analytic Families of Holomorphic Ifs
This paper deals with analytic families of holomorphic iterated function systems. Using real analyticity of the pressure function (which we prove), we establish a classification theorem for analytic families of holomorphic iterated function systems which depend continuously on a parameter when the space of holomorphic iterated function systems is endowed with the λ-topology. This classification...
متن کاملHolomorphic canonical forms for holomorphic families of singular systems
In this paper we obtain a canonical reduced form for regularizable singular systems and we describe generic holomorphic families that permit us, to analyze the neighborhood of a given system. Key-Words:Singular systems, Feedback equivalence, Canonical form, Miniversal deformation.
متن کاملNormal Families of Bicomplex Holomorphic Functions
In this article, we introduce the concept of normal families of bicomplex holomorphic functions to obtain a bicomplex Montel theorem. Moreover, we give a general definition of Fatou and Julia sets for bicomplex polynomials and we obtain a characterization of bicomplex Fatou and Julia sets in terms of Fatou set, Julia set and filled-in Julia set of one complex variable. Some 3D visual examples o...
متن کاملDynamical Properties of Families of Holomorphic Mappings
We study some dynamical properties of skew products of Hénon maps of C2 that are fibered over a compact metric space M . The problem reduces to understanding the dynamical behavior of the composition of a pseudorandom sequence of Hénon mappings. In analogy with the dynamics of the iterates of a single Hénon map, it is possible to construct fibered Green functions that satisfy suitable invarianc...
متن کاملAnalytic Families of Holomorphic Iterated Function Systems
This paper deals with analytic families of holomorphic iterated function systems. Using real analyticity of the pressure function (which we prove), we establish a classification theorem for analytic families of holomorphic iterated function systems which depend continuously on a parameter when the space of holomorphic iterated function systems is endowed with the λ-topology. This classification...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Acta Mathematica
سال: 1986
ISSN: 0001-5962
DOI: 10.1007/bf02392595