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707
Statistical bandwidth sharing: a study of congestion at flow level
, 2001
"... In this paper we study the statistics of the realized throughput of elastic document transfers, accounting for the way network bandwidth is shared dynamically between the randomly varying number of concurrent flows. We first discuss the way TCP realizes statistical bandwidth sharing, illustrating es ..."
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Cited by 214 (23 self)
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essential properties by means of packet level simulations. Mathematical flow level models based on the theory of stochastic networks are then proposed to explain the observed behavior. A notable result is that first order performance (e.g., mean throughput) is insensitive with respect both to the flow size
Introduction to diffusion tensor imaging mathematics
 Parts IIII, Concepts in Magnetic Resonance Part A
"... ABSTRACT: The mathematical aspects of diffusion tensor magnetic resonance imaging (DTMRI, or DTI), the measurement of the diffusion tensor by magnetic resonance imaging (MRI), are discussed in this threepart series. Part III begins with a comparison of different ways to calculate the tensor from d ..."
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Cited by 18 (0 self)
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ABSTRACT: The mathematical aspects of diffusion tensor magnetic resonance imaging (DTMRI, or DTI), the measurement of the diffusion tensor by magnetic resonance imaging (MRI), are discussed in this threepart series. Part III begins with a comparison of different ways to calculate the tensor from
Efficient MATLAB computations with sparse and factored tensors
 SIAM JOURNAL ON SCIENTIFIC COMPUTING
, 2007
"... In this paper, the term tensor refers simply to a multidimensional or $N$way array, and we consider how specially structured tensors allow for efficient storage and computation. First, we study sparse tensors, which have the property that the vast majority of the elements are zero. We propose stori ..."
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Cited by 84 (17 self)
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storing sparse tensors using coordinate format and describe the computational efficiency of this scheme for various mathematical operations, including those typical to tensor decomposition algorithms. Second, we study factored tensors, which have the property that they can be assembled from more basic
Positivity and conservation of superenergy tensors
, 2001
"... Two essential properties of energy–momentum tensors Tµν are their positivity and conservation. This is mathematically formalized by, respectively, an energy condition, as the dominant energy condition, and the vanishing of their divergence ∇ µ Tµν = 0. The classical Bel and BelRobinson superenergy ..."
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Cited by 3 (0 self)
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Two essential properties of energy–momentum tensors Tµν are their positivity and conservation. This is mathematically formalized by, respectively, an energy condition, as the dominant energy condition, and the vanishing of their divergence ∇ µ Tµν = 0. The classical Bel and BelRobinson superenergy
Convergence of proportionalfair sharing algorithms under general conditions
 IEEE Trans. Wireless Commun
, 2004
"... We are concerned with the allocation of the base station transmitter time in time varying mobile communications with many users who are transmitting data. Time is divided into small scheduling intervals, and the channel rates for the various users are available at the start of the intervals. Since t ..."
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Cited by 118 (2 self)
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) system and related algorithms are designed to deal with such conflicts. The aim here is to put such algorithms on a sure mathematical footing and analyze their behavior. The available analysis [6], while obtaining interesting information, does not address the actual convergence for arbitrarily many users
Dynamical laws of superenergy in General Relativity
, 707
"... Abstract. Bel and BelRobinson tensors were introduced nearly fifty years ago in an attempt to generalize to gravitation the energymomentum tensor of electromagnetism. This generalization was successful from the mathematical point of view because these tensors share mathematical properties which ar ..."
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Abstract. Bel and BelRobinson tensors were introduced nearly fifty years ago in an attempt to generalize to gravitation the energymomentum tensor of electromagnetism. This generalization was successful from the mathematical point of view because these tensors share mathematical properties which
Colored Tensor Models  a Review
 SYMMETRY, INTEGRABILITY AND GEOMETRY: METHODS AND APPLICATIONS
, 2012
"... Abstract. Colored tensor models have recently burst onto the scene as a promising conceptual and computational tool in the investigation of problems of random geometry in dimension three and higher. We present a snapshot of the cutting edge in this rapidly expanding research field. Colored tensor mo ..."
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Cited by 43 (6 self)
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models have been shown to share many of the properties of their direct ancestor, matrix models, which encode a theory of fluctuating twodimensional surfaces. These features include the possession of Feynman graphs encoding topological spaces, a 1/N expansion of graph amplitudes, embedded matrix models
Mathematical Morphology on Tensor Data Using the Loewner Ordering
"... The notions of maximum and minimum are the key to the powerful tools of greyscale morphology. Unfortunately these notions do not carry over directly to tensorvalued data. Based upon the Loewner ordering for symmetric matrices this paper extends the maximum and minimum operation to the tensorvalued ..."
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Cited by 3 (2 self)
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The notions of maximum and minimum are the key to the powerful tools of greyscale morphology. Unfortunately these notions do not carry over directly to tensorvalued data. Based upon the Loewner ordering for symmetric matrices this paper extends the maximum and minimum operation to the tensor
Superenergy tensors
 C. Q. G
, 2000
"... A simple and purely algebraic construction of superenergy (se) tensors for arbitrary fields is presented in any dimensions. These tensors have good mathematical and physical properties, and they can be used in any theory having as basic arena an ndimensional manifold with a metric of Lorentzian s ..."
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Cited by 15 (3 self)
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A simple and purely algebraic construction of superenergy (se) tensors for arbitrary fields is presented in any dimensions. These tensors have good mathematical and physical properties, and they can be used in any theory having as basic arena an ndimensional manifold with a metric of Lorentzian
Results 1  10
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707