Power Domains and Iterated Function Systems
نویسندگان
چکیده
منابع مشابه
Power Domains and Iterated Function Systems
We introduce the notion of weakly hyperbolic iterated function system (IFS) on a compact metric space, which generalises that of hyperbolic IFS. Based on a domain-theoretic model, which uses the Plotkin power domain and the probabilistic power domain respectively, we prove the existence and uniqueness of the attractor of a weakly hyperbolic IFS and the invariant measure of a weakly hyperbolic I...
متن کاملAccumulation constants of iterated function systems with Bloch target domains
The sequence {Fn} is called the iterated function system coming from the sequence f1, f2, f3, . . .; we abbreviate this to IFS. By Montel’s theorem (see for example [3]), the sequence Fn is a normal family, and every convergent subsequence converges uniformly on compact subsets of ∆ to a holomorphic function F . The limit functions F are called accumulation points. Therefore every accumulation ...
متن کاملOn the Relation between Iterated Function Systems and Partitioned Iterated Function Systems on the Relation between Iterated Function Systems and Partitioned Iterated Function Systems on the Relation between Iterated Function Systems and Partitioned Iterated Function Systems
In this paper, we give a theoretically founded transition from Iterated Function Systems based on aane transformations to Partitioned Iterated Function Systems. We show that there are two essential steps, namely, restricting the aane transformations, and solving the evoked problem of ink dissipation. In this paper, we give a theoretically founded transition from Iterated Function Systems based ...
متن کاملDiscrete Iterated Function Systems
discrete iterated function systems discrete iterated function systems representation of discrete sequences with dimensional discrete iterated function systems discrete iterated function systems stochastic discrete scale invariance: renormalization representation of discrete sequences with high-dimensional power domains and iterated function systems fractal tilings from iterated function systems...
متن کاملForward Iterated Function Systems
Abstract We consider the iterated function system Fn = fn ◦ . . . ◦ f2 ◦ f1 formed from the holomorphic functions in the family H(∆,Ω). The analog of stable behavior for such systems is that the limit functions be constant. We prove that a necessary and sufficient condition for stable behavior for all iterated function systems formed from H(∆, Ω) is that Ω be a proper subset of ∆. We also prove...
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: Information and Computation
سال: 1996
ISSN: 0890-5401
DOI: 10.1006/inco.1996.0014