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Zapiski Nauchnykh Seminarov POMI, 1994, Volume 215, Pages 226–245 (Mi znsl5934)  

An approach to zeta-function of finite factorgraph via the Markov topological chains

A. M. Nikitin

St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences
Abstract: An approach to zeta- and $L$-function of finite connected graph via theory of the Markov topological chains (symbolic dynamics) is given. Also a case of $L$-function of finite connected graph with labelling is considered. Bibliography: 12 titles.
Received: 07.02.1994
English version:
Journal of Mathematical Sciences (New York), 1997, Volume 85, Issue 1, Pages 1704–1714
DOI: https://doi.org/10.1007/BF02355331
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: A. M. Nikitin, “An approach to zeta-function of finite factorgraph via the Markov topological chains”, Differential geometry, Lie groups and mechanics. Part 14, Zap. Nauchn. Sem. POMI, 215, Nauka, St. Petersburg, 1994, 226–245; J. Math. Sci. (New York), 85:1 (1997), 1704–1714
Citation in format AMSBIB
\Bibitem{Nik94}
\by A.~M.~Nikitin
\paper An approach to zeta-function of finite factorgraph via the Markov topological chains
\inbook Differential geometry, Lie groups and mechanics. Part~14
\serial Zap. Nauchn. Sem. POMI
\yr 1994
\vol 215
\pages 226--245
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5934}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1329986}
\zmath{https://zbmath.org/?q=an:0872.11037|0907.11026}
\transl
\jour J. Math. Sci. (New York)
\yr 1997
\vol 85
\issue 1
\pages 1704--1714
\crossref{https://doi.org/10.1007/BF02355331}
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