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35,337
LOCAL EXISTENCE OF SPINOR POTENTIALS
, 1999
"... We present a new, simple proof of existence for the Lanczos spinor potential in 3+1 dimensions that introduces a potential TABCD = T (ABC)D of the Lanczos potential together with several generalizations to other index configurations and metric signatures. The potential TABCD can also be used to expr ..."
Abstract
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Cited by 1 (1 self)
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We present a new, simple proof of existence for the Lanczos spinor potential in 3+1 dimensions that introduces a potential TABCD = T (ABC)D of the Lanczos potential together with several generalizations to other index configurations and metric signatures. The potential TABCD can also be used
LOF: Identifying density-based local outliers
- MOD
, 2000
"... For many KDD applications, such as detecting criminal activities in E-commerce, finding the rare instances or the outliers, can be more interesting than finding the common patterns. Existing work in outlier detection regards being an outlier as a binary property. In this paper, we contend that for ..."
Abstract
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Cited by 516 (13 self)
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For many KDD applications, such as detecting criminal activities in E-commerce, finding the rare instances or the outliers, can be more interesting than finding the common patterns. Existing work in outlier detection regards being an outlier as a binary property. In this paper, we contend
Excitatory and inhibitory interactions in localized populations of model
- Biophysics
, 1972
"... ABSMAcr Coupled nonlinear differential equations are derived for the dynamics of spatially localized populations containing both excitatory and inhibitory model neurons. Phase plane methods and numerical solutions are then used to investigate population responses to various types of stimuli. The res ..."
Abstract
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Cited by 495 (11 self)
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ABSMAcr Coupled nonlinear differential equations are derived for the dynamics of spatially localized populations containing both excitatory and inhibitory model neurons. Phase plane methods and numerical solutions are then used to investigate population responses to various types of stimuli
Endpoint Strichartz estimates
- Amer. J. Math
, 1998
"... Abstract. We prove an abstract Strichartz estimate, which implies previously unknown endpoint Strichartz estimates for the wave equation (in dimension n 4) and the Schrödinger equation (in dimension n 3). Three other applications are discussed: local existence for a nonlinear wave equation; and Stri ..."
Abstract
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Cited by 513 (39 self)
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Abstract. We prove an abstract Strichartz estimate, which implies previously unknown endpoint Strichartz estimates for the wave equation (in dimension n 4) and the Schrödinger equation (in dimension n 3). Three other applications are discussed: local existence for a nonlinear wave equation
Incorporating non-local information into information extraction systems by Gibbs sampling
- IN ACL
, 2005
"... Most current statistical natural language processing models use only local features so as to permit dynamic programming in inference, but this makes them unable to fully account for the long distance structure that is prevalent in language use. We show how to solve this dilemma with Gibbs sampling, ..."
Abstract
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Cited by 730 (25 self)
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Most current statistical natural language processing models use only local features so as to permit dynamic programming in inference, but this makes them unable to fully account for the long distance structure that is prevalent in language use. We show how to solve this dilemma with Gibbs sampling
Learning to detect natural image boundaries using local brightness, color, and texture cues
- PAMI
, 2004
"... The goal of this work is to accurately detect and localize boundaries in natural scenes using local image measurements. We formulate features that respond to characteristic changes in brightness, color, and texture associated with natural boundaries. In order to combine the information from these fe ..."
Abstract
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Cited by 625 (18 self)
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The goal of this work is to accurately detect and localize boundaries in natural scenes using local image measurements. We formulate features that respond to characteristic changes in brightness, color, and texture associated with natural boundaries. In order to combine the information from
Counterexamples to local existence for semi-linear wave equations
- Amer. J. Math
, 1996
"... Introduction. In this paper we study how much regularity of initial data is needed to ensure existence of a local solution to a semi-linear wave equation. We give counterexamples to local existence for the typical model equations. The counterexamples we construct are sharp, i.e. one does have local ..."
Abstract
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Cited by 39 (0 self)
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Introduction. In this paper we study how much regularity of initial data is needed to ensure existence of a local solution to a semi-linear wave equation. We give counterexamples to local existence for the typical model equations. The counterexamples we construct are sharp, i.e. one does have local
Axiomatic quantum field theory in curved spacetime
, 2008
"... The usual formulations of quantum field theory in Minkowski spacetime make crucial use of features—such as Poincare invariance and the existence of a preferred vacuum state—that are very special to Minkowski spacetime. In order to generalize the formulation of quantum field theory to arbitrary globa ..."
Abstract
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Cited by 689 (18 self)
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globally hyperbolic curved spacetimes, it is essential that the theory be formulated in an entirely local and covariant manner, without assuming the presence of a preferred state. We propose a new framework for quantum field theory, in which the existence of an Operator Product Expansion (OPE) is elevated
Results 1 - 10
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35,337
