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19942021
most citedOperator algebra of free conformal currents via twistors

67 citations

Showing 2012Show all

5 papers · 1 filter

math.MG2012★ 12 cited

The Voronoi conjecture for parallelohedra with simply connected -surface

Alexey Garber, Andrey Gavrilyuk, Alexander Magazinov

We show that the Voronoi conjecture is true for parallelohedra with simply connected -surface. Namely, we show that if the boundary of parallelohedron remains simply connect…

math.DG2012★ 2 cited

On the compactness of the set of invariant Einstein metrics

Michail M. Graev

Let be a connected simply connected homogeneous manifold of a compact, not necessarily connected Lie group . We will assume that the isotropy -module $\mathfrak {g/…

cond-mat.dis-nn2012★ 18 cited

Weighted Patterns as a Tool for Improving the Hopfield Model

Iakov Karandashev, Boris Kryzhanovsky, Leonid Litinskii

We generalize the standard Hopfield model to the case when a weight is assigned to each input pattern. The weight can be interpreted as the frequency of the pattern occurrence at t…

cs.NE2012★ 5 cited

Discretization of a matrix in the problem of quadratic functional binary minimization

Boris Kryzhanovsky, Mikhail Kryzhanovsky, Magomed Malsagov

The capability of discretization of matrix elements in the problem of quadratic functional minimization with linear member built on matrix in N-dimensional configuration space with…

cs.ET2012★ 4 cited

Optical Solver of Combinatorial Problems: Nano-Technological Approach

Eyal Cohen, Shlomi Dolev, Sergey Frenkel +4

We report the first steps in creating an optical computing system. This system may solve NP-Hard problems by utilizing a setup of exponential sized masks. This is exponential space…