2,158 research outputs found
Gravitational field measurement with an equilibrium ensemble of cold atoms
A new approach to the measurement of gravitational fields with an equilibrium
ensemble of ultra-cold alkali atoms confined in a cell of volume is
investigated. The proposed model of the gravitational sensor is based on a
variation of the density profile of the ensemble due to changing of the
gravitational field. For measurement the atomic density variations of the
ensemble the electromagnetically induced transparency method is used.Comment: 4 pages, 1 figure, revte
The behavior of the NPMLE of a decreasing density near the boundaries of the support
We investigate the behavior of the nonparametric maximum likelihood estimator
for a decreasing density near the boundaries of the support of
. We establish the limiting distribution of , where
we need to distinguish between different values of . Similar
results are obtained for the upper endpoint of the support, in the case it is
finite. This yields consistent estimators for the values of at the
boundaries of the support. The limit distribution of these estimators is
established and their performance is compared with the penalized maximum
likelihood estimator.Comment: Published at http://dx.doi.org/10.1214/009053606000000100 in the
Annals of Statistics (http://www.imstat.org/aos/) by the Institute of
Mathematical Statistics (http://www.imstat.org
Asymptotic normality of the -error of the Grenander estimator
We investigate the limit behavior of the -distance between a decreasing
density and its nonparametric maximum likelihood estimator for
. Due to the inconsistency of at zero, the case
turns out to be a kind of transition point. We extend asymptotic normality of
the -distance to the -distance for , and obtain the
analogous limiting result for a modification of the -distance for
. Since the -distance is the area between and ,
which is also the area between the inverse of and the more tractable
inverse of , the problem can be reduced immediately to
deriving asymptotic normality of the -distance between and .
Although we lose this easy correspondence for , we show that the
-distance between and is asymptotically equivalent to the
-distance between and .Comment: Published at http://dx.doi.org/10.1214/009053605000000462 in the
Annals of Statistics (http://www.imstat.org/aos/) by the Institute of
Mathematical Statistics (http://www.imstat.org
Generic coverings of plane with A-D-E-singularities
We generalize results of the paper math.AG/9803144, in which Chisini's
conjecture on the unique reconstruction of f by the curve B is investigated.
For this fibre products of generic coverings are studied. The main inequality
bounding the degree of a covering in the case of existence of two nonequivalent
coverings with the branch curve B is obtained. This inequality is used for the
proof of the Chisini conjecture for m-canonical coverings of surfaces of
general type for .Comment: 43 pages, 20 figures; to appear in Izvestiya Mat
NN Interaction JISP16: Current Status and Prospect
We discuss realistic nonlocal NN interactions of a new type - J-matrix
Inverse Scattering Potential (JISP). In an ab exitu approach, these
interactions are fitted to not only two-nucleon data (NN scattering data and
deuteron properties) but also to the properties of light nuclei without
referring to three-nucleon forces. We discuss recent progress with the ab
initio No-core Shell Model (NCSM) approach and respective progress in
developing ab exitu JISP-type NN-interactions together with plans of their
forthcoming improvements.Comment: 9 pages, 3 figures, to be published in Proceedings of Few-body 19
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