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12 papers · 1 filter
Numerical Results on Low Mass Star and Brown Dwarf Multiplicity
Eduardo Delgado-Donate, Cathie Clarke
We have undertaken a series of hydrodynamic + N-body simulations in order to explore the properties of young stars. Our results suggest that the IMF may be sensitive to environment…
Cycle Classes of the E-O Stratification on the Moduli of Abelian Varieties
Torsten Ekedahl, Gerard van der Geer
We introduce a stratification on the space of symplectic flags on the de Rham bundle of the universal principally polarized abelian variety in positive characteristic and study its…
Korean university life in a network perspective: Dynamics of a large affiliation network
Petter Holme, Sung Min Park, Beom Jun Kim +1
We investigate course registration data of 18 semesters at a Korean University to portray the time evolution of students' positions in the network of fellow students. Apart from be…
Mutually Unbiased Bases and The Complementarity Polytope
Ingemar Bengtsson, Asa Ericsson
A complete set of N+1 mutually unbiased bases (MUBs) forms a convex polytope in the N^2-1 dimensional space of NxN Hermitian matrices of unit trace. As a geometrical object such a…
Mystery of point charges
Andrei Gabrielov, Dmitry Novikov, Boris Shapiro
We discuss the problem of finding an upper bound for the number of equilibrium points of a potential of several fixed point charges in R^n. This question goes back to J.C.Maxwell a…
On rational approximation of algebraic functions
Julius Borcea, Rikard Bögvad, Boris Shapiro
We construct a new scheme of approximation of any multivalued algebraic function by a sequence of rational functions. The latter sequence is…