A. A. Abrosimova, D. A. Blinov, T. V. Polyakova, “Optimization of boundaries of remains for bounded remainder sets on two-dimensional torus”, Chebyshevskii Sb., 2013, Volume 14, Issue 1,Pages <nobr>9

This article is cited in 2 papers

Optimization of boundaries of remains for bounded remainder sets on two-dimensional torus

A. A. Abrosimova, D. A. Blinov, T. V. Polyakova

Vladimir State University

Abstract: We consider two-dimensional bounded remainder sets, which are constructed by a hexagonal developmant of the torus. Also, we find optimization of boundaries for these sets.

Keywords: bounded remainder sets, distribution of fractional parts, toric development, exchanged domains, three-dimensional metric.

UDC: 511.2

Received: 11.03.2013