16,779 research outputs found
Local estimates for elliptic equations arising in conformal geometry
In this paper we consider Yamabe type problem for higher order curvatures on
manifolds with totally geodesic boundaries. We prove local gradient and second
derivative estimates for solutions to the fully nonlinear elliptic equations
associated with the problems.Comment: 30 page
Prescribing the symmetric function of the eigenvalues of the Schouten tensor
In this paper we study the problem of conformally deforming a metric to a
prescribed symmetric function of the eigenvalues of the Schouten tensor on
compact Riemannian manifolds with boundary. We prove its solvability and the
compactness of the solution set, provided the Ricci tensor is non-negative
definite
The one loop renormalization of the effective Higgs sector and its implications
We study the one-loop renormalization the standard model with anomalous Higgs
couplings () by using the background field method, and provide the
whole divergence structure at one loop level. The one-loop divergence structure
indicates that, under the quantum corrections, only after taking into account
the mass terms of Z bosons () and the whole bosonic sector of the
electroweak chiral Lagrangian (), can the effective Lagrangian be
complete up to .Comment: ReVTeX, 18 pages; in the sequel to hep-ph/0211258, hep-ph/0211301,
and hep-ph/021236
Masking quantum information in multipartite scenario
Recently, Kavan Modi \emph{et al.} found that masking quantum information is
impossible in bipartite scenario in [Phys. Rev. Lett. \textbf{120}, 230501
(2018)]. This adds another item of the no-go theorems. In this paper, we
present some new schemes different from error correction codes, which show that
quantum states can be masked when more participants are allowed in the masking
process. Moreover, using a pair of mutually orthogonal Latin squares of
dimension , we show that all the level quantum states can be masked into
tripartite quantum systems whose local dimensions are or . This
highlight some difference between the no-masking theorem and the classical
no-cloning theorem or no-deleting theorem.Comment: 6 pages, 0 figur
A Storage-Computation-Communication Tradeoff for Distributed Computing
This paper investigates distributed computing systems where computations are
split into "Map" and "Reduce" functions. A new coded scheme, called distributed
computing and coded communication (D3C), is proposed, and its communication
load is analyzed as a function of the available storage space and the number of
intermediate values (IVA) to be computed. D3C achieves the smallest possible
communication load for a given storage space, while a smaller number of IVAs
need to be computed compared to Li et al.'s coded distributed computing (CDC)
scheme. More generally, our scheme can flexibly trade between storage space and
the number of IVAs to be computed. Communication load is then analyzed for any
given tradeoff.Comment: 5 pages, 3 figure
Scheme for conditional generation of photon-added coherent state and optical entangled state
We propose a simple scheme to generate an arbitrary photon-added coherent
state of a travelling optical field by using only a set of degenerate
parametric amplifiers and single-photon detectors. Particularly, when the
single-photon-added coherent state (SPACS) is observed by following, e.g., the
novel technique of Zavatta \emph{} (Science 306, 660 (2004)), we also
obtain the generalized optical entangled state. Finally, a qualitative
analysis of possible losses in our scheme is given.Comment: 8 pages, 3 figure
An Empirical Study of Customer Spillover Learning about Service Quality
"Spillover" learning is defined as customers' learning about the quality of a
service (or product) from their previous experiences with similar yet not
identical services. In this paper, we propose a novel, parsimonious and general
Bayesian hierarchical learning framework for estimating customers' spillover
learning. We apply our model to a one-year shipping/sales historical data
provided by a world-leading third party logistics company and study how
customers' experiences from shipping on a particular route affect their future
decisions about shipping not only on that route, but also on other routes
serviced by the same logistics company. Our empirical results are consistent
with information spillovers driving customer choices. Customers also display an
asymmetric response such that they are more sensitive to delays than early
deliveries. In addition, we find that customers are risk averse being more
sensitive to their uncertainty about the mean service quality than to the
intrinsic variability of the service. Finally, we develop policy simulation
studies to show the importance of accounting for customer learning when a firm
considers service quality improvement decisions
2+1 flavors QCD equation of state at zero temperature within Dyson-Schwinger equations
Within the framework of Dyson-Schwinger equations (DSEs), we discuss the
equation of state (EOS) and quark number densities of 2+1 flavors, that is to
say, , , and quarks. The chemical equilibrium and electric charge
neutrality conditions are used to constrain the chemical potential of different
quarks. The EOS in the cases of 2 flavors and 2+1 flavors are discussed, and
the quark number densities, the pressure, and energy density per baryon are
also studied. The results show that there is a critical chemical potential for
each flavor of quark, at which the quark number density turns to nonzero from
0; and furthermore, the system with 2+1 flavors of quarks is more stable than
that with 2 flavors in the system. These discussion may provide some useful
information to some research fields, such as the studies related to the QCD
phase transitions or compact stars.Comment: 7 pages, 6 figure
Simultaneous creations of discrete-variable entangle state and single-photon-added coherent state
The single-photon-added coherent state (SPACS), as an intermediate
classical-to-purely-quantum state, was first realized recently by Zavatta
\emph{} (Science 306, 660 (2004)). We show here that the success
probability of their SPACS generation can be enhanced by a simple method which
leads to simultaneous creations of a discrete-variable entangled state and a
SPACS or even a hybrid-variable entangled SPACS in two different channels. The
impacts of the input thermal noise are also analyzed.Comment: 6 pages, 1 figur
Sharp inequalities of homogeneous expansions for quasi-convex mappings of type B and almost starlike mappings of order alpha
In this paper, we first obtain several sharp inequalities of homogeneous
expansion for both the subclass of all normalized biholomorphic quasi-convex
mappings of type B and order alpha and the subclass of all normalized
biholomorphic almost starlike mappings of order alpha defined on the unit ball
of a complex Banach space X. Then, with these sharp inequalities, we derive
the sharp estimates of the third and fourth homogeneous expansions for the
above mappings defined on the unit polydisk in C(n).Comment: 23 pages, Submitted to AMC in August, 201
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