1,030 research outputs found
On the domain of attraction for the lower tail in Wicksell's corpuscle problem
We consider the classical Wicksell corpuscle problem with spherical particles
in R^n and investigate the shapes of lower tails of distributions of `sphere
radii' in R^n and `sphere radii' in a k-dimensional section plane. We show in
which way the domains of attraction are related to each other.Comment: 6 page
Slowing down and reflection of waves in truncated periodic media
We consider wave propagation and scattering governed by one dimensional
Schrodinger operators with truncated periodic potentials. The propagation of
wave packets with narrow frequency supports is studied. The goal is to describe
potentials for which the group velocity (for periodic problem) is small and the
transmission coefficient for the truncated potential is not too small, i.e. to
find media where a slowing down of the wave packets coexists with a
transparency
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