On the Dimension of Deterministic and Random Cantor-like Sets, Symbolic Dynamics, and the Eckmann-ruelle Conjecture
نویسنده
چکیده
In this paper we unify and extend many of the known results on the dimensions of deterministic and random Cantor-like sets in R n using their symbolic representation. We also construct several new examples of such constructions that illustrate some new phenomena. These sets are deened by geometric constructions with arbitrary placement of subsets. We consider Markov constructions, general symbolic constructions, nonstationary constructions, random constructions (determined by a very general distribution), and combinations of the above.
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