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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 223, Pages 137–139
(Mi znsl4383)
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Dynamical systems
On construction of a symbolic realization of hyperbolic automorphisms of the torus
E. A. Hirsch Saint-Petersburg State University
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
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
Linking options:
https://www.mathnet.ru/eng/znsl4383 https://www.mathnet.ru/eng/znsl/v223/p137
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Abstract page: | 86 | Full-text PDF : | 27 |
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