Yakov Pesin, Howard Weiss
ON THE DIMENSION OF  DETERMINISTIC AND  RANDOM  CANTOR-LIKE SETS, 
SYMBOLIC DYNAMICS, AND THE ECKMANN-RUELLE CONJECTURE
(134K, TeX)

ABSTRACT.   In this paper we unify and extend many of the known results
on the dimensions of deterministic and random Cantor-like sets in
$\BbbR^n$ using their symbolic representation.   We also construct several new examples of such constructions that illustrate some new phenomena.   These sets are defined 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.