The finite-state dimension of an infinite sequence S over a finite alphabet Σ is an asymptotic measure of the density of information in S as perceived by finite ...
The finite-state dimension of a sequence S over a finite alphabet Σ is an as- ymptotic measure of the density of information in S as perceived by finite-state.
Feb 9, 2006 · The base-k expansions of alpha, q+alpha, and q*alpha all have the same finite-state dimension and the same finite-state strong dimension.
Abstract. We use entropy rates and Schur concavity to prove that, for every integer k ⩾ 2, every nonzero rational number q, and every real ...
This paper extends the Weyl criterion from a characterization of sequences with finite-state dimension 1 to a criterion that characterizes every finite- ...
Jul 28, 2007 · The finite-state dimension of an infinite sequence S over a finite alphabet is an asymptotic measure of the density of information in S as ...
The base-k expansions of @a, q+@a, and q@a all have the same finite-state dimension and the same finite-state strong dimension.
Request PDF | Finite-State Dimension and Real Arithmetic | We use entropy rates and Schur concavity to prove that, for every integer k >= 2, every nonzero ...
In this paper we use gales computed by multi-account finite-state gamblers to develop the finite-state dimensions of sets of binary sequences and individual ...
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Finite-State Dimension and Real Arithmetic. We use entropy rates and Schur concavity to prove that, for every integer k >= 2, every nonzero rational number q ...