4 citations · 4 across the 2 of their papers we have counts for
3 papers
math.NT2007★ 2 cited
On determination of periods of geometric continued fractions for two-dimensional algebraic hyperbolic operators
O. Karpenkov
For a given sequence of positive integers we make an explicit construction of a reduced hyperbolic operator in SL(2,z) with the sequence as a period of a geometric continued fracti…
math.GT2004
Energy of a knot: variational principles; Mm-energy
O. N. Karpenkov
Let be the energy of some knot for any from certain class of functions. The problem is to find knots with extremal values of energy. We discuss the notion of the loca…
math.NT2004★ 4 cited
On examples of two-dimensional periodic continued fractions
O. N. Karpenkov
This paper is a short survey of the recent results on examples of periodic two-dimensional continued fractions (in Klein's model). In the last part of this paper we formulate some…