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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1979 Volume 109(151), Number 2(6), Pages 275–290 (Mi sm2375)

Lattice motions of the Euclidean plane

V. M. Maksimov


Abstract: The idea of lattice motions of the plane is introduced; these motions arise quite naturally from the point of view of probability. A complete description of such motions is given, from which follows their close connection with quadratic extensions of the field of rational numbers.
Bibliography: 7 titles.

UDC: 519.2+513.738

MSC: Primary 51M05; Secondary 60A10

Received: 31.08.1977 and 04.01.1979


 English version:
Mathematics of the USSR-Sbornik, 1980, 37:2, 245–259

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© Steklov Math. Inst. of RAS, 2026