3,963 research outputs found
Entropy of capacities on lattices and set systems
We propose a definition for the entropy of capacities defined on lattices.
Classical capacities are monotone set functions and can be seen as a
generalization of probability measures. Capacities on lattices address the
general case where the family of subsets is not necessarily the Boolean lattice
of all subsets. Our definition encompasses the classical definition of Shannon
for probability measures, as well as the entropy of Marichal defined for
classical capacities. Some properties and examples are given
Prompt high-energy neutrinos from gamma-ray bursts in photospheric and synchrotron self-Compton scenarios
We investigate neutrino emission from gamma-ray bursts (GRBs) under
alternative scenarios for prompt emission (the photospheric and synchrotron
self-Compton scenarios) rather than the classical optically thin synchrotron
scenario. In the former scenario, we find that neutrinos from the pp reaction
can be very important at energies around 10-100 TeV. They may be detected by
IceCube/KM3Net and useful as a probe of baryon acceleration around/below the
photosphere. In the latter scenario, we may expect about EeV pgamma neutrinos
produced by soft photons. Predicted spectra are different from that in the
classical scenario, and neutrinos would be useful as one of the clues to the
nature of GRBs (the jet composition, emission radius, magnetic field and so
on).Comment: 5 pages, 3 figures, replaced to match the final version published as
PRD Rapid Communication, 78, 101302. Minor typos fixe
閉経後女性における首周囲径の変化がメタボリックシンドローム関連指標に及ぼす影響
広島大学(Hiroshima University)博士(保健学)Doctor of Philosophy in Health Sciencedoctora
Toward a construction of scalar-flat K\"{a}hler metrics on affine algebraic manifolds
Let be an -dimensional polarized manifold. Let be a smooth
hypersurface defined by a holomorphic section of . In this paper, we
study the existence of a complete scalar-flat K\"{a}hler metric on on the assumption that has a constant positive scalar curvature
K\"{a}hler metric.Comment: 25 pages, no figure
Almost scalar-flat K\"{a}hler metrics on affine algebraic manifolds
Let be an -dimensional polarized manifold. Let be a smooth
hypersurface defined by a holomorphic section of . In this paper, we
show the existence of a complete K\"{a}hler metric on whose
scalar curvature is flat away from some divisor if there are positive integers
such that the line bundle is very
ample and the ratio is sufficiently small.Comment: 24 pages, no figure
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