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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 223, Pages 137–139 (Mi znsl4383)  
Dynamical systems

On construction of a symbolic realization of hyperbolic automorphisms of the torus

E. A. Hirsch

Saint-Petersburg State University
Full-text PDF (152 kB)
Abstract: The general method of constructing an isomorphism between hyperbolic automorphisms of the torus and hyperbolic shifts, suggested by A. M. Vershik, is shown to be inapplicable to a wide class of automorphisms, namely, to those whose characteristic polynomial has at least two roots of different moduli outside the unit disk. Bibliography: 3 titles.
Received: 15.03.1995
English version:
Journal of Mathematical Sciences (New York), 1997, Volume 87, Issue 6, Pages 4065–4066
DOI: https://doi.org/10.1007/BF02355801
Bibliographic databases:
Document Type: Article
UDC: 517.4
Language: Russian
Citation: E. A. Hirsch, “On construction of a symbolic realization of hyperbolic automorphisms of the torus”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part I, Zap. Nauchn. Sem. POMI, 223, POMI, St. Petersburg, 1995, 137–139; J. Math. Sci. (New York), 87:6 (1997), 4065–4066
Citation in format AMSBIB
\Bibitem{Hir95}
\by E.~A.~Hirsch
\paper On construction of a~symbolic realization of hyperbolic automorphisms of the torus
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~I
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 223
\pages 137--139
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4383}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1374316}
\zmath{https://zbmath.org/?q=an:0909.58032}
\transl
\jour J. Math. Sci. (New York)
\yr 1997
\vol 87
\issue 6
\pages 4065--4066
\crossref{https://doi.org/10.1007/BF02355801}
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