7,661 research outputs found
Celebrating 70: An Interview with Don Berry
Donald (Don) Arthur Berry, born May 26, 1940 in Southbridge, Massachusetts,
earned his A.B. degree in mathematics from Dartmouth College and his M.A. and
Ph.D. in statistics from Yale University. He served first on the faculty at the
University of Minnesota and subsequently held endowed chair positions at Duke
University and The University of Texas M.D. Anderson Center. At the time of the
interview he served as Head of the Division of Quantitative Sciences, and
Chairman and Professor of the Department of Biostatistics at UT M.D. Anderson
Center.Comment: Published in at http://dx.doi.org/10.1214/11-STS366 the Statistical
Science (http://www.imstat.org/sts/) by the Institute of Mathematical
Statistics (http://www.imstat.org
Exact Computation of Influence Spread by Binary Decision Diagrams
Evaluating influence spread in social networks is a fundamental procedure to
estimate the word-of-mouth effect in viral marketing. There are enormous
studies about this topic; however, under the standard stochastic cascade
models, the exact computation of influence spread is known to be #P-hard. Thus,
the existing studies have used Monte-Carlo simulation-based approximations to
avoid exact computation.
We propose the first algorithm to compute influence spread exactly under the
independent cascade model. The algorithm first constructs binary decision
diagrams (BDDs) for all possible realizations of influence spread, then
computes influence spread by dynamic programming on the constructed BDDs. To
construct the BDDs efficiently, we designed a new frontier-based search-type
procedure. The constructed BDDs can also be used to solve other
influence-spread related problems, such as random sampling without rejection,
conditional influence spread evaluation, dynamic probability update, and
gradient computation for probability optimization problems.
We conducted computational experiments to evaluate the proposed algorithm.
The algorithm successfully computed influence spread on real-world networks
with a hundred edges in a reasonable time, which is quite impossible by the
naive algorithm. We also conducted an experiment to evaluate the accuracy of
the Monte-Carlo simulation-based approximation by comparing exact influence
spread obtained by the proposed algorithm.Comment: WWW'1
Charmless decays and new physics effects in the mSUGRA model
By employing the QCD factorization approach, we calculate the new physics
contributions to the branching radios of the two-body charmless and
decays in the framework of the minimal supergravity (mSUGRA) model.
we choose three typical sets of the mSUGRA input parameters in which the Wilson
coefficient can be either SM-like (the case A and C) or has
a flipped-sign (the case B). We found numerically that (a) the SUSY
contributions are always very small for both case A and C; (b) for those
tree-dominated decays, the SUSY contributions in case B are also very small;
(c) for those QCD penguin-dominated decay modes, the SUSY contributions in case
B can be significant, and can provide an enhancement about to
the branching ratios of and decays, but a
reduction about to decays; and (d) the
large SUSY contributions in the case B may be masked by the large theoretical
errors dominated by the uncertainty from our ignorance of calculating the
annihilation contributions in the QCD factorization approach.Comment: 34 pages, 8 PS figures, this is the correct version
The Dense Plasma Torus Around the Nucleus of an Active Galaxy NGC 1052
A subparsec-scale dense plasma torus around an active galactic nucleus (AGN)
is unveiled. We report on very-long-baseline interferometry (VLBI) observations
at 2.3, 8.4, and 15.4 GHz towards the active galaxy NGC 1052. The convex
spectra of the double-sided jets and the nucleus imply that synchrotron
emission is obscured through free--free absorption (FFA) by the foreground cold
dense plasma. A trichromatic image was produced to illustrate the distribution
of the FFA opacity. We found a central condensation of the plasma which covers
about 0.1 pc and 0.7 pc of the approaching and receding jets, respectively. A
simple explanation for the asymmetric distribution is the existence of a thick
plasma torus perpendicular to the jets. We also found an ambient FFA absorber,
whose density profile can be ascribed to a spherical distribution of the
isothermal King model. The coexistence of torus-like and spherical
distributions of the plasma suggests a transition from radial accretion to
rotational accretion around the nucleus.Comment: 10 pages, to appear in Publ. Astron. Soc. Japan, vol.53, No.2 (2001
High Resolution VSOP Imaging of a Southern Blazar PKS 1921-293 at 1.6 GHz
We present a high resolution 1.6 GHz VSOP image of the southern blazar PKS
1921-293. The image shows a typical core-jet morphology, consistent with
ground-based VLBI images. However, the addition of data from the space antenna
has greatly improved the angular resolution (especially along the north-south
direction for this source), and thus allowed us to clearly identify the core.
Model fitting reveals an inner jet component ~1.5 mas north of the core. This
jet feature may be moving on a common curved path connecting the jet within a
few parsecs to the 10-parsec-scale jet. The compact core has a brightness
temperature of 2.6*10**12 K (in the rest frame of the quasar), an indication of
relativistic beaming. We analyzed the source in terms of three models,
involving the inverse Compton catastrophe, an inhomogeneous relativistic jet,
and the equipartition of energy between the radiating particles and the
magnetic field. Our analysis of this gamma-ray-quiet blazar shows no preference
to any particular one of these models.Comment: 7 pages including 2 figures and 1 table, PASJLaTeX, accepted for
publication in PAS
Scherk-Schwarz Supersymmetry Breaking for Quasi-localized Matter Fields and Supersymmetry Flavor Violation
We examine the soft supersymmetry breaking parameters induced by the
Scherk-Schwarz (SS) boundary condition in 5-dimensional orbifold field theory
in which the quark and lepton zero modes are quasi-localized at the orbifold
fixed points to generate the hierarchical Yukawa couplings. In such theories,
the radion corresponds to a flavon to generate the flavor hierarchy and at the
same time plays the role of the messenger of supersymmetry breaking. As a
consequence, the resulting soft scalar masses and trilinear -parameters of
matter zero modes at the compactification scale are highly flavor-dependent,
thereby can lead to dangerous flavor violations at low energy scales. We
analyze in detail the low energy flavor violations in SS-dominated
supersymmetry breaking scenario under the assumption that the compactification
scale is close to the grand unification scale and the 4-dimensional effective
theory below the compactification scale is given by the minimal supersymmetric
standard model. Our analysis can be applied to any supersymmetry breaking
mechanism giving a sizable -component of the radion superfield, e.g. the
hidden gaugino condensation model.Comment: revtex4, 22 pages, some numerical errors are corrected in
phenomenological analysis, main conclusion does not chang
Morphologically defined sub-stages of C. elegans vulval development in the fourth larval stage
Background: During the fourth larval (L4) stage, vulval cells of C. elegans undergo extensive morphogenesis accompanied by changes in gene expression. This phase of vulval development, occurring after the well-studied induction of vulval cells, is not well understood but is potentially a useful context in which to study how a complex temporal sequence of events is regulated during development. However, a system for precisely describing different phases of vulval development in the L4 stage has been lacking.
Results: We defined ten sub-stages of L4 based on morphological criteria as observed using Nomarski microscopy (L4.0 ~ L4.9). Precise timing of each sub-stage at 20 °C was determined. We also re-examined the timing of expression for several gene expression markers, and correlated the sub-stages with the timing of other developmental events in the vulva and the uterus.
Conclusions: This scheme allows the developmental timing of an L4 individual to be determined at approximately one-hour resolution without the need to resort to time course experiments. These well-defined developmental stages will enable more precise description of gene expression and other developmental events
Gap-mediated magnetization of a pseudo-one-dimensional system with a spin-orbit interaction
We argue that a pseudo-one-dimensional electron gas is magnetized when a
voltage bias is applied with the Fermi level tuned to be in the energy gap
generated by a spin-orbit interaction. The magnetization is an indication of
spin-carrying currents due to the spin-orbit interaction. The origin of the
magnetization, however, is essentially different from the "spin accumulation"
in two-dimensional systems with spin-orbit interactions.Comment: 6 pages, 7 figures; to appear in Solid State Communication
Radiative Electroweak Breaking with Pseudogoldstone Higgs Doublets
We consider a realistic example of supersymmetric grand unification based on
in which the electroweak (EW) higgs
doublets are `light' as a consequence of the `pseudogoldstone' mechanism. We
discuss radiative EW breaking in this model, exploring in particular the
`small' (order unity) and `large' regions by
studying the variations of , where
are the well known MSSM parameters evaluated at the GUT scale.
For sufficiently close to unity the quantity can be of order
unity, but the converse is not always true.Comment: 18 pages plain LaTeX (to be run twice) and 11 figures available
separately from uuencoded file
Single-hole properties in the - and strong-coupling models
We report numerical results for the single-hole properties in the -
model and the strong-coupling approximation to the Hubbard model in two
dimensions. Using the hopping basis with over states we discuss (for an
infinite system) the bandwidth, the leading Fourier coefficients in the
dispersion, the band masses, and the spin-spin correlations near the hole. We
compare our results with those obtained by other methods. The band minimum is
found to be at () for the - model for , and for the strong-coupling model for . The bandwidth
in both models is approximately at large , in rough agreement with
loop-expansion results but in disagreement with other results. The
strong-coupling bandwidth for t/J\agt6 can be obtained from the - model
by treating the three-site terms in first-order perturbation theory. The
dispersion along the magnetic zone face is flat, giving a large
parallel/perpendicular band mass ratio.Comment: 1 RevTeX file with epsf directives to include 8 .eps figures 8 figure
files encoded using uufile
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