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11 papers · 1 filter
A reduction theorem for capacity of positive maps
Erling Stormer
We prove a reduction theorem for capacity of positive maps of finite dimensional C*-algebras, thus reducing the computation of capacity to the case when the image of a nonscalar pr…
Using synchrotron X-ray scattering to study the diffusion of water in a weakly-hydrated clay sample
Y. Meheust, B. Sandnes, G. Lovoll +6
We study the diffusion of water in weakly-hydrated samples of the smectite clay Na-fluorohectorite. The quasi one-dimensional samples are dry compounds of nano-layered particles co…
On the discovery of Birkhoff's theorem
Nils Voje Johansen, Finn Ravndal
Birkhoff showed in 1923 that the Schwarzschild solution for the metric from a point particle was also valid in the a priori non-static case as long as the spherical symmetry was ma…
The abelian fibration on the Hilbert cube of a K3 surface of genus 9
Atanas Iliev, Kristian Ranestad
In this paper we construct an abelian fibration over on the Hilbert cube of the primitive K3 surface of genus 9. After the abelian fibration constructed by Mukai on the…
An elementary, explicit, proof of the existence of Hilbert schemes of points
Trond Gustavsen, Dan Laksov, Roy Skjelnes
We give a short, elementary and explicit proof of the existence of Hilbert schemes of points on affine schemes. As a direct consequence we obtain the existence of the Hilbert schem…
Size of flux jumps in superconducting films
D. V. Shantsev, A. V. Bobyl, Y. M. Galperin +2
Magneto-optical imaging is used to visualize vortex avalanches in MgB2 films at 4K. Avalanches ranging from 50 to 50000 vortices were detected. The size distribution function has a…