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K AROLY SIMON 的引文(4) 排序方式:
Number theoretical peculiarities in the dimension theory of dynamical systems  
We show that dimensional theoretical properties of dynamical systems can considerably change because of number theoretical peculiarities of some parameter values......
Israel Journal of Mathematics  2002
2次引用 0 0
Hausdorff Dimension Of Limit Sets For Parabolic Ifs With Overlaps  
We study parabolic iterated function systems with overlaps on the real line. We show that if a d-parameter family of such systems satisfies a transversality condition, then for almost every parameter ......
 2001
2次引用 0 0
Dimension Estimates In Nonconformal Hyperbolic Dynamics  
We establish sharp lower and upper estimates for the Hausdorff and box dimensions of invariant sets of maps that need not be conformal nor differentiable. The estimates are given in terms of the geome......
5次引用 0 0
HAUSDORFF DIMENSION OF THE LIMIT SET OF CONFORMAL ITERATED FUNCTION SYSTEMS WITH OVERLAPS  
Abstract. We give a new approach to the study of conformal iterated function systems with arbitrary overlaps. We provide lower and upper estimates for the Hausdorff dimension of the limit sets of such......
0次引用 0 0

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