Circular codes, loop counting, and zeta-functions

Circular codes, loop counting, and zeta-functions
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循环码、循环计数和 zeta 函数

DOI:
10.1016/0097-3165(91)90023-a
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发表时间:
1990
期刊:
J. Comb. Theory, Ser. A
影响因子:
--
通讯作者:
G. Keller
G. Keller
中科院分区:
--
文献类型:
--
作者:
G. Keller

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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 2Nsymbols, 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.