Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part I, Tome 223 (1995), pp. 137-139
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E. A. Hirsch. On construction of a symbolic realization of hyperbolic automorphisms of the torus. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part I, Tome 223 (1995), pp. 137-139. http://geodesic.mathdoc.fr/item/ZNSL_1995_223_a6/
@article{ZNSL_1995_223_a6,
author = {E. A. Hirsch},
title = {On construction of a~symbolic realization of hyperbolic automorphisms of the torus},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {137--139},
year = {1995},
volume = {223},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1995_223_a6/}
}
TY - JOUR
AU - E. A. Hirsch
TI - On construction of a symbolic realization of hyperbolic automorphisms of the torus
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1995
SP - 137
EP - 139
VL - 223
UR - http://geodesic.mathdoc.fr/item/ZNSL_1995_223_a6/
LA - ru
ID - ZNSL_1995_223_a6
ER -
%0 Journal Article
%A E. A. Hirsch
%T On construction of a symbolic realization of hyperbolic automorphisms of the torus
%J Zapiski Nauchnykh Seminarov POMI
%D 1995
%P 137-139
%V 223
%U http://geodesic.mathdoc.fr/item/ZNSL_1995_223_a6/
%G ru
%F ZNSL_1995_223_a6
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.