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arXiv:1405.7784 [math.DS]AbstractReferencesReviewsResources

Indecomposable continua in exponential dynamics-Hausdorff dimension

Lukasz Pawelec, Anna Zdunik

Published 2014-05-30Version 1

We study some forward invariant sets appearing in the dynamics of the exponential family. We prove that the Hausdorff dimension of the sets under consideration is not larger than $1$. This allows us to prove, as a consequence, a result for some dynamically defined indecomposable continua which appear in the dynamics of the exponential family. We prove that the Hausdorff dimension of these continua is equal to one.

Categories: math.DS
Subjects: 37F35, 37B45
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