Affiliation:
1. Department of Mathematics, South China University of Technology, Guangzhou, 510640, P. R. China
Abstract
Let f: X → X be a continuous map of a compact topological space. If there exists a metric function on X and it satisfies some restricted conditions, we obtain some relationships between Hausdorff dimension and topological entropy for any Z ⊆ X. Using those results, we also obtain a variational principle of dimensions, generalize some known results and give some examples.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Geometry and Topology,Modelling and Simulation
Cited by
4 articles.
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