Circular codes, loop counting, and zeta-functions

Keller G (1991)


Publication Type: Journal article, Original article

Publication year: 1991

Journal

Publisher: Elsevier

Book Volume: 56

Pages Range: 75--83

Journal Issue: 1

DOI: 10.1016/0097-3165(91)90023-A

Abstract

We prove a simple formula for the zeta-function of coded systems generated by circular codes (and more generally by circular Markov codes). We apply this to the loop counting method for determining the topological entropy of a subshift of finite type, to the zeta-function of the Dyck-shift over 2N symbols, and to the zeta-function of a subshift of finite ype which is obtained from a full shift by deleting one block of arbitrary length.

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How to cite

APA:

Keller, G. (1991). Circular codes, loop counting, and zeta-functions. Journal of Combinatorial Theory Series A, 56(1), 75--83. https://doi.org/10.1016/0097-3165(91)90023-A

MLA:

Keller, Gerhard. "Circular codes, loop counting, and zeta-functions." Journal of Combinatorial Theory Series A 56.1 (1991): 75--83.

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