ON THE FIRST RETURN TIMES FOR TORIC ROTATIONS
https://doi.org/10.22405/2226-8383-2013-14-4-127-130
Abstract
Some examples of domains such that first return time function for twodimensional torus shift has at most three values are constructed. Some applications to bounded remainder sets problem are obtained.
About the Authors
D. V. Kuznetsova
Владимирский государственный университет им. А. Г. и Н. Г. Столетовых
Russian Federation
Russian Federation
A. V. Shutov
Владимирский государственный университет им. А. Г. и Н. Г. Столетовых
Russian Federation
Russian Federation
References
1. Floreik K. Une remarque sur la repartition des nombres mξmod1 // Coll. Math. Wroclaw. 1951. Vol. 2. P. 323-324.
2. Shutov A. V. Derivatives of Circle Rotations and the Similarity of Orbits //Journal of Mathematical Sciences. 3-2006. Vol. 133. P. 1765–1771.
Review
For citations:
Kuznetsova D.V., Shutov A.V. ON THE FIRST RETURN TIMES FOR TORIC ROTATIONS. Chebyshevskii Sbornik. 2013;14(4):127-130. (In Russ.) https://doi.org/10.22405/2226-8383-2013-14-4-127-130
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