33,272 research outputs found
A Constrained L1 Minimization Approach to Sparse Precision Matrix Estimation
A constrained L1 minimization method is proposed for estimating a sparse
inverse covariance matrix based on a sample of iid -variate random
variables. The resulting estimator is shown to enjoy a number of desirable
properties. In particular, it is shown that the rate of convergence between the
estimator and the true -sparse precision matrix under the spectral norm is
when the population distribution has either exponential-type
tails or polynomial-type tails. Convergence rates under the elementwise
norm and Frobenius norm are also presented. In addition, graphical
model selection is considered. The procedure is easily implementable by linear
programming. Numerical performance of the estimator is investigated using both
simulated and real data. In particular, the procedure is applied to analyze a
breast cancer dataset. The procedure performs favorably in comparison to
existing methods.Comment: To appear in Journal of the American Statistical Associatio
On Black Hole Stability in Critical Gravities
We consider extended cosmological gravities with Ricci tensor and scalar
squared terms in diverse dimensions. These theories admit solutions of Einstein
metrics, including the Schwarzschild-Tangherlini AdS black holes, whose mass
and entropy vanish at the critical point. We perform linearized analysis around
the black holes and show that in general the spectrum consists of the usual
spin-2 massless and ghost massive modes. We demonstrate that there is no
exponentially-growing tachyon mode in the black holes. At the critical point,
the massless spin-2 modes have zero energy whilst the massive spin-2 modes are
replaced by the log modes. There always exist certain linear combination of
massless and log modes that has negative energy. Thus the stability of the
black holes requires that the log modes to be truncated out by the boundary
condition.Comment: 16 pages, minor corrections, further comments and references adde
Hysteresis and Anisotropic Magnetoresistance in Antiferromagnetic
The out-of-plane resistivity () and magnetoresistivity (MR) are
studied in antiferromangetic (AF) single crystals, which
have three types of noncollinear antiferromangetic spin structures. The
apparent signatures are observed in measured at the zero-field and
14 T at the spin structure transitions, giving a definite evidence for the
itinerant electrons directly coupled to the localized spins. One of striking
feature is an anisotropy of the MR with a fourfold symmetry upon rotating the
external field (B) within ab plane in the different phases, while twofold
symmetry at spin reorientation transition temperatures. The intriguing thermal
hysteresis in and magnetic hysteresis in MR are observed at spin
reorientation transition temperatures.Comment: 4 pages, 4 figure
Theoretical modeling of spatial and temperature dependent exciton energy in coupled quantum wells
Motivated by a recent experiment of spatial and temperature dependent average
exciton energy distribution in coupled quantum wells [S. Yang \textit{et al.},
Phys. Rev. B \textbf{75}, 033311 (2007)], we investigate the nature of the
interactions in indirect excitons. Based on the uncertainty principle, along
with a temperature and energy dependent distribution which includes both
population and recombination effects, we show that the interplay between an
attractive two-body interaction and a repulsive three-body interaction can lead
to a natural and good account for the nonmonotonic temperature dependence of
the average exciton energy. Moreover, exciton energy maxima are shown to locate
at the brightest regions, in agreement with the recent experiments. Our results
provide an alternative way for understanding the underlying physics of the
exciton dynamics in coupled quantum wells.Comment: 8 pages, 5 figure
Leading-Order Actions of Goldstino Fields
This paper starts with a self-contained discussion of the so-called
Akulov-Volkov action S_AV, which is traditionally taken to be the leading-order
action of Goldstino field. Explicit expressions for S_AV and its chiral version
S_AV^ch are presented. We then turn to the issue on how these actions are
related to the leading-order action S_NL proposed in the newly proposed
constrained superfield formalism. We show that S_NL may yield S_AV/S_AV^ch or a
totally different action S_KS, depending on how the auxiliary field in the
former is integrated out. However, S_KS and S_AV/S_AV^ch always yield the same
S-matrix elements, as one would have expected from general considerations in
quantum field theory.Comment: Minor changes, version to appear in European Physical Journal
Integer quantum Hall effect and topological phase transitions in silicene
We numerically investigate the effects of disorder on the quantum Hall effect
(QHE) and the quantum phase transitions in silicene based on a lattice model.
It is shown that for a clean sample, silicene exhibits an unconventional QHE
near the band center, with plateaus developing at and
a conventional QHE near the band edges. In the presence of disorder, the Hall
plateaus can be destroyed through the float-up of extended levels toward the
band center, in which higher plateaus disappear first. However, the center
Hall plateau is more sensitive to disorder and disappears at a
relatively weak disorder strength. Moreover, the combination of an electric
field and the intrinsic spin-orbit interaction (SOI) can lead to quantum phase
transitions from a topological insulator to a band insulator at the charge
neutrality point (CNP), accompanied by additional quantum Hall conductivity
plateaus.Comment: 7 pages, 4 figure
Vacancy-tuned paramagnetic/ferromagnetic martensitic transformation in Mn-poor Mn_{1-x}CoGe alloys
It is shown that a temperature window between the Curie temperatures of
martensite and austenite phases around the room temperature can be obtained by
a vacancy-tuning strategy in Mn-poor Mn1-xCoGe alloys (0 <= x <= 0.050). Based
on this, a martensitic transformation from paramagnetic austenite to
ferromagnetic martensite with a large magnetization difference can be realized
in this window. This gives rise to a magnetic-field-induced martensitic
transformation and a large magnetocaloric effect in the Mn1-xCoGe system. The
decrease of the transformation temperature and of the thermal hysteresis of the
transformation, as well as the stable Curie temperatures of martensite and
austenite, are discussed on the basis of the Mn-poor Co-vacancy structure and
the corresponding valence-electron concentration.Comment: Manuscript revised. 18 pages, 6 figures and 1 table. Submitted for
publication
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