Moreover, we also provide a criterion for a self-similar set to be a Cantor-type set which completely answers an open question raised in \\cite{LaLu13}. Our study extends the previous works.doi:10.1112/jlms.12181Jun Jason LuoJournal of the London Mathematical Society...
1. A self-similar set is obtained,by way of constructing a set of similitudes. 通常一个自相似分形是由一个自相似压缩系统生成。更多例句>> 2) fractal self-similar 分形自相似 1. Owing to this method,the geometric construction of the single chaotic attractor is not changed,while the whole ...
1. On One Property of Self-Similar Set Sequence; 关于自相似集列的一个性质2. Three theorems on super self-similar sets; 关于上自相似集的三个定理更多例句>> 2) Self-similar sets 自相似集 1. They establish the necessary condition for sets C∪(C+α)∪(C+β) be self-similar sets ...
Essentially, such a coding provides the topological structure of the self-similar set. The formal definition of self-similar topological structure is introduced by Kigami in [14], and by Kameyama as topological self-similar set in [12]. Definition 1 topological self-similar set A compact me...
Graph-Directed Self-Similar SetUnivoque SetConfiguration of Finite PatternHausdorff DimensionLet λ∈ ( 0 , 1 ) and m ≥ 3 an integer. We consider the collection of homogeneous self-similar sets on the line such that every two of copies f i ( K ) , f j ( K ) of the self-similar ...
Informally, a set is considered self similar if it consists of smaller copies of itself. If this set fulfills the so called open set condition, one can easily calculate the Hausdorff Dimension (see for example Wikipedia). It is easy to find some proofs on this topic. Most of them st...
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This random process is self-similar at any scale and any resolution.这种随机过程在任何尺度和分辨率下都具有自相似性。self-similar solutionWe solved these problems by looking for self-similar solutions.The set is a typical self-similar set.
The paper constructs the type of self-similar set,In order to work out the solution to Hausdorff dimension in the type of self-similar set by making use of the quality of contraction self-similar mapping which meets the open set conditions.关键词: self-similar set Hausdorff dimension self-sim...
Let K be generalized self-similar set,and be the infinite product measure supportedon K. 设K为广义自相似集,μ为支撑于K上的无穷乘积测度,本文中证明了K的重fractal分解集K。 更多例句>> 6) sub self similar set 次自相似集 1. First of all we introduce the concepts for random sub self simi...