References
P. R. Halmos, Bull. Amer. Math. Soc. 49 (8), 619 (1943).
V. I. Arnold, Mathematical Methods of Classical Mechanics (Springer- Verlag, New York, 1978).
R. Bowen, Trans. Amer. Math. Soc. 153, 401 (1971).
D. V. Anosov, Proc. Steklov Inst. Math. 90, 1 (1967).
M. I. Brin and Ya. B. Pesin, Math. USSR-Izv. 8 (1), 177 (1974).
R. A. Horn and C. R. Johnson, Matrix Analysis (Cambridge Univ. Press, Cambridge, 1985).
D. Z. Arov, Uspekhi Mat. Nauk 18 (5 113), 133 (1963).
A. B. Katok and A. Nitica, Rigidity in Higner Rank Abelian Group Actions. Vol. 1: Introduction and Cocycle Problem (Cambridge Univ. Press, Cambridge, 2011).
L. M. Lerman and K. N. Trifonov, Dynam. Syst. 35 (2020) (in press).
Funding
This research was supported by the Laboratory of Dynamical Systems and Applications, National Research University Higher School of Economics under grant of the Ministry of Science and Higher Education of the Russian Federation (agreement no. 075-15-2019-1931).
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Lerman, L.M., Trifonov, K.N. The Topology of Symplectic Partially Hyperbolic Automorphisms of the 4-Torus. Math Notes 108, 462–464 (2020). https://doi.org/10.1134/S0001434620090175
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DOI: https://doi.org/10.1134/S0001434620090175