An analogue of Cobham's theorem for graph directed iterated function systems

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

An analogue of Cobham's theorem for graph directed iterated function systems

Feng and Wang showed that two homogeneous iterated function systems in R with multiplicatively independent contraction ratios necessarily have different attractors. In this paper, we extend this result to graph directed iterated function systems in R with contraction ratios that are of the form 1 β , for integers β. By using a result of Boigelot et al., this allows us to give a proof of a conje...

متن کامل

Contraction Ratios for Graph-directed Iterated Constructions

We provide necessary and sufficient conditions for a graph-directed iterated function system to be strictly contracting.

متن کامل

A Fractal Dimension Estimate for a Graph-directed Iterated Function System of Non-similarities

Suppose a graph-directed iterated function system consists of maps fe with upper estimates of the form d ( fe(x),fe(y) ) ≤ red(x,y). Then the fractal dimension of the attractor Kv of the IFS is bounded above by the dimension associated to the Mauldin–Williams graph with ratios re. Suppose the maps fe also have lower estimates of the form d ( fe(x),fe(y) ) ≥ r′ ed(x,y) and that the IFS also sati...

متن کامل

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 کامل

An Iterated Function systems Approach to Emergence

An approach to action selection in autonomous agents is presented. This approach is motivated by biological examples and the operation of the Random Iteration Algorithm on an Iterated Function System. The approach is illustrated with a simple three-mode behavior that allows a swarm of 200 computational agents to function as a global optimizer on a 30-dimensional multimodal cost function. The be...

متن کامل

ذخیره 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: Advances in Mathematics

سال: 2015

ISSN: 0001-8708

DOI: 10.1016/j.aim.2015.04.008