593 research outputs found
Bounded normal generation is not equivalent to topological bounded normal generation
We show that some derived full groups provide examples of non
simple Polish groups with the topological bounded normal generation property.
In particular, it follows that there are Polish groups with the topological
bounded normal generation property but not the bounded normal generation
property.Comment: 11 page
Numerical approximation of poroelasticity with random coefficients using Polynomial Chaos and Hybrid High-Order methods
In this work, we consider the Biot problem with uncertain poroelastic
coefficients. The uncertainty is modelled using a finite set of parameters with
prescribed probability distribution. We present the variational formulation of
the stochastic partial differential system and establish its well-posedness. We
then discuss the approximation of the parameter-dependent problem by
non-intrusive techniques based on Polynomial Chaos decompositions. We
specifically focus on sparse spectral projection methods, which essentially
amount to performing an ensemble of deterministic model simulations to estimate
the expansion coefficients. The deterministic solver is based on a Hybrid
High-Order discretization supporting general polyhedral meshes and arbitrary
approximation orders. We numerically investigate the convergence of the
probability error of the Polynomial Chaos approximation with respect to the
level of the sparse grid. Finally, we assess the propagation of the input
uncertainty onto the solution considering an injection-extraction problem.Comment: 30 pages, 15 Figure
Image transmission through a stable paraxial cavity
We study the transmission of a monochromatic "image" through a paraxial
cavity. Using the formalism of self-transform functions, we show that a
transverse degenerate cavity transmits the self-transform part of the image,
with respect to the field transformation over one round-trip of the cavity.
This formalism gives a new insight on the understanding of the behavior of a
transverse degenerate cavity, complementary to the transverse mode picture. An
experiment of image transmission through a hemiconfocal cavity show the
interest of this approach.Comment: submitted to Phys. Rev.
High multiplicity W+jets predictions at NLO
In these proceedings we present results from a recent calculation for the
production of a W boson in conjunction with five jets at next-to-leading order
in perturbative QCD. We also use results at lower multiplicities to extrapolate
the cross section to the same process with six jets.Comment: 5 pages, Proceedings for the DIS2013 conferenc
Quantum Noise in Multipixel Image Processing
We consider the general problem of the quantum noise in a multipixel
measurement of an optical image. We first give a precise criterium in order to
characterize intrinsic single mode and multimode light. Then, using a
transverse mode decomposition, for each type of possible linear combination of
the pixels' outputs we give the exact expression of the detection mode, i.e.
the mode carrying the noise. We give also the only way to reduce the noise in
one or several simultaneous measurements.Comment: 8 pages and 1 figur
Multimode Squeezing Properties of a Confocal Opo: Beyond the Thin Crystal Approximation
Up to now, transverse quantum effects (usually labelled as "quantum imaging"
effects) which are generated by nonlinear devices inserted in resonant optical
cavities have been calculated using the "thin crystal approximation", i.e.
taking into account the effect of diffraction only inside the empty part of the
cavity, and neglecting its effect in the nonlinear propagation inside the
nonlinear crystal. We introduce in the present paper a theoretical method which
is not restricted by this approximation. It allows us in particular to treat
configurations closer to the actual experimental ones, where the crystal length
is comparable to the Rayleigh length of the cavity mode. We use this method in
the case of the confocal OPO, where the thin crystal approximation predicts
perfect squeezing on any area of the transverse plane, whatever its size and
shape. We find that there exists in this case a "coherence length" which gives
the minimum size of a detector on which perfect squeezing can be observed, and
which gives therefore a limit to the improvement of optical resolution that can
be obtained using such devices.Comment: soumis le 04.03.2005 a PR
A study of transfer and prevalence of organic gunshot residues
The main goal of the present study was to determine the amounts and distribution of organic gunshot residues (OGSR) on the shooter’s upper body and clothing after discharging a pistol. A preliminary study was also performed to evaluate the prevalence of OGSR in the general population as well as in a police laboratory environment. In the transfer study, results indicated that OGSR are not only transferred to the hand of the shooter, but also to other parts of the upper body. Thus, wrists and forearms also represent interesting targets as they are washed less frequently than hands. Samples from the face and hair of the shooters resulted in no OGSR detection just after firing. It was also observed that the concentrations recovered from clothing are generally higher compared to the same skin area. Prevalence in both general (n = 27) and police populations (n = 25) was very low. No OGSR was detected in the samples from the general population and only two samples from the police population were found positive
Application of the Principle of Maximum Conformality to Top-Pair Production
A major contribution to the uncertainty of finite-order perturbative QCD
predictions is the perceived ambiguity in setting the renormalization scale
. For example, by using the conventional way of setting , one obtains the total production cross-section
with the uncertainty \Delta \sigma_{t \bar{t}}/\sigma_{t
\bar{t}}\sim ({}^{+3%}_{-4%}) at the Tevatron and LHC even for the present
NNLO level. The Principle of Maximum Conformality (PMC) eliminates the
renormalization scale ambiguity in precision tests of Abelian QED and
non-Abelian QCD theories. In this paper we apply PMC scale-setting to predict
the cross-section at the Tevatron and LHC
colliders. It is found that remains almost unchanged by
varying within the region of . The convergence
of the expansion series is greatly improved. For the -channel,
which is dominant at the Tevatron, its NLO PMC scale is much smaller than the
top-quark mass in the small -region, and thus its NLO cross-section is
increased by about a factor of two. In the case of the -channel, which is
dominant at the LHC, its NLO PMC scale slightly increases with the subprocess
collision energy , but it is still smaller than for
TeV, and the resulting NLO cross-section is increased by
. As a result, a larger is obtained in comparison
to the conventional scale-setting method, which agrees well with the present
Tevatron and LHC data. More explicitly, by setting GeV, we
predict pb,
pb and pb. [full abstract can be found in the
paper.]Comment: 15 pages, 11 figures, 5 tables. Fig.(9) is correcte
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