Misc,

Length distributions and regular sequences

, , and .
(2000)

Abstract

. This paper presents a survey on length distributions of regular languages. The accent is on problems in coding theory and the relation with symbolic dynamics. Key words. Regular sequences, nite automata, pre x codes, bi x codes, symbolic dynamics, zeta functions. 1. Introduction. The notion of a length distribution for a formal language is a simple one: it is the generating series u(z) = P n0 un z n of the number of words of each length. This series carries important information...

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