1,240 research outputs found
Galaxy Counts, Sizes, Colours and Redshifts in the Hubble Deep Field
We compare the galaxy evolution models of Bruzual & Charlot (1993) with the
faint galaxy count, size and colour data from the Hubble and Herschel Deep
Fields (Metcalfe et al 1996). For qo=0.05, we find that models where the SFR
increases exponentially out to z>2 are consistent with all of the observational
data. For qo=0.5, such models require an extra population of galaxies which are
only seen at high redshift and then rapidly fade or disappear. We find that,
whatever the cosmology, the redshift of the faint blue galaxies and hence the
epoch of galaxy formation is likely to lie at z>2. We find no implied peak in
the SFR at z=1 and we suggest that the reasons for this contradiction with the
results of Madau et al (1996) include differences in faint galaxy photometry,
in the treatment of spiral dust and in the local galaxy count normalisation.Comment: 8 pages, 5 eps figures, needs paspconf.st
Stability for Borell-Brascamp-Lieb inequalities
We study stability issues for the so-called Borell-Brascamp-Lieb
inequalities, proving that when near equality is realized, the involved
functions must be -close to be -concave and to coincide up to
homotheties of their graphs.Comment: to appear in GAFA Seminar Note
Nonresonant Contributions in B->rho pi Decay
We consider nonresonant contributions in the Dalitz plot analysis of B->rho
pi->pi^+ pi^- pi^0 decay and their potential impact on the extraction of the
CKM parameter alpha. In particular, we examine the role of the heavy mesons B^*
and B_0, via the process B->pi (B^*, B_0)->pi^+ pi^- pi^0, and their
interference with resonant contributions in the rho-mass region. We discuss the
inherent uncertainties and suggest that the effects may be substantially
smaller than previously indicated.Comment: 15 pages, 3 figures; minor changes, version to appear in Phys. Rev.
The openness conjecture and complex Brunn-Minkowski inequalities
We discuss recent versions of the Brunn-Minkowski inequality in the complex
setting, and use it to prove the openness conjecture of Demailly and Koll\'ar.Comment: This is an account of the results in arXiv:1305.5781 together with
some background material. It is based on a lecture given at the Abel
symposium in Trondheim, June 2013. 13 page
Atomic position localization via dual measurement
We study localization of atomic position when a three-level atom interacts
with a quantized standing-wave field in the Ramsey interferometer setup. Both
the field quadrature amplitude and the atomic internal state are measured to
obtain the atomic position information. It is found that this dual measurement
scheme produces an interference pattern superimposed on a diffraction-like
pattern in the atomic position distribution, where the former pattern
originates from the state-selective measurement and the latter from the field
measurement. The present scheme results in a better resolution in the position
localization than the field-alone measurement schemes. We also discuss the
measurement-correlated mechanical action of the standing-wave field on the atom
in the light of Popper's test.Comment: 6.5 pages and 5 figure
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Drift waves in stellarator geometry
Drift waves are investigated in a real three-dimensional stellarator geometry. A linear system, based on the cold ion fluid model and a ballooning mode formalism, is solved numerically in the geometry of the stellarator H1-NF. The spectra of stable and unstable modes, as well as localization, are discussed. The dependence of the spectrum of the unstable modes on the wavevector, plasma density variation, and the location in the plasma is presented
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