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
Voir la notice du chapitre de livre
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.
@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/}
}
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/