11 citations · 43 across the 30 of their papers we have counts for
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math.NT2005
Completely empty pyramids on integer lattices and two-dimensional faces of multidimensional continued fractions
Oleg Karpenkov
In this paper we develop an integer-affine classification of three-dimensional multistory completely empty convex marked pyramids. We apply it to obtain the complete lists of compa…
math-ph2005
Mobius energy of graphs
Oleg Karpenkov
In the present paper we introduce Mobius energy for the embedded graphs and formulate its main properties. This energy is invariant under the action of the group generated by all i…