Quasisymmetric conjugacy between quadratic dynamics and iterated function systems
نویسندگان
چکیده
منابع مشابه
On 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 کاملRecurrent Neural Networks with Iterated Function Systems Dynamics
We suggest a recurrent neural network (RNN) model with a recurrent part corresponding to iterative function systems (IFS) introduced by Barnsley [1] as a fractal image compression mechanism. The key idea is that 1) in our model we avoid learning the RNN state part by having non-trainable connections between the context and recurrent layers (this makes the training process less problematic and f...
متن کاملQuantum iterated function systems.
An iterated function system (IFS) is defined by specifying a set of functions in a classical phase space, which act randomly on an initial point. In an analogous way, we define a quantum IFS (QIFS), where functions act randomly with prescribed probabilities in the Hilbert space. In a more general setting, a QIFS consists of completely positive maps acting in the space of density operators. This...
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: Ergodic Theory and Dynamical Systems
سال: 2009
ISSN: 0143-3857,1469-4417
DOI: 10.1017/s0143385709000789