On construction of a symbolic realization of hyperbolic automorphisms of the torus
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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.
KeywordsUnit Disk Wide Class Characteristic Polynomial Hyperbolic Automorphism Symbolic Realization