On the connectedness of self-affine attractors
β Scribed by Shigeki Akiyama; Nertila Gjini
- Publisher
- Springer
- Year
- 2004
- Tongue
- English
- Weight
- 468 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0003-889X
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π SIMILAR VOLUMES
For a dynamical system on a connected metric space X, the global attractor (when it exists) is connected provided that either the semigroup is time-continuous or X is locally connected. Moreover, there exists an example of a dynamical system on a connected metric space which admits a disconnected gl
Given a class of structures with a notion of connectedness (satisfying some reasonable assumptions), we consider the limit (as n -+ oc) of the probability that a random (labelled or unlabelled) n-element structure in the class is connected. The paper consists of three parts: two specific examples, N
## Abstract For a __d__ Γ__d__ expanding matrix __A__, we de.ne a pseudoβnorm __w__ (__x__) in terms of __A__ and use this pseudoβnorm (instead of the Euclidean norm) to define the Hausdorff measure and the Hausdorff dimension dim^__w__^ ~__H__~ __E__ for subsets __E__ in R^__d__^ . We show that t