Relative tensor products for modules over von Neumann algebras [PDF]
We give an overview of relative tensor products (RTPs) for von Neumann algebra modules. For background, we start with the categorical definition and go on to examine its algebraic formulation, which is applied to Morita equivalence and index.
Sherman, David
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Geometric decomposition of the conformation tensor in viscoelastic turbulence [PDF]
This work introduces a mathematical approach to analysing the polymer dynamics in turbulent viscoelastic flows that uses a new geometric decomposition of the conformation tensor, along with associated scalar measures of the polymer fluctuations.
Gayme, Dennice F. +3 more
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Relative Error Tensor Low Rank Approximation [PDF]
We consider relative error low rank approximation of $tensors$ with respect to the Frobenius norm: given an order-$q$ tensor $A \in \mathbb{R}^{\prod_{i=1}^q n_i}$, output a rank-$k$ tensor $B$ for which $\|A-B\|_F^2 \leq (1+\epsilon)$OPT, where OPT ...
Zhao Song +2 more
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Remarks on the relative tensor degree of finite groups [PDF]
The present paper is a note on the relative tensor degree of finite groups. This notion generalizes the tensor degree, introduced recently in literature, and allows us to adapt the concept of relative commutativity degree through the notion of ...
Ahmad M. Alghamdi, Francesco G. Russo
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The relative monoidal center and tensor products of monoidal categories [PDF]
This paper develops a theory of monoidal categories relative to a braided monoidal category, called augmented monoidal categories. For such categories, balanced bimodules are defined using the formalism of balanced functors. It is shown that there exists
Robert Laugwitz
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Gravitational Wave Direct Detection does not Constrain the Tensor Spectral Index at CMB Scales
I discuss constraints on the power spectrum of primordial tensor perturbations from a combination of Cosmic Microwave Background (CMB) measurements and the gravitational wave direct detection experiments LIGO/Virgo and DECIGO. There are two main points: (
William H. Kinney
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A characterization of finite \'etale morphisms in tensor triangular geometry [PDF]
We provide a characterization of finite \'etale morphisms in tensor triangular geometry. They are precisely those functors which have a conservative right adjoint, satisfy Grothendieck--Neeman duality, and for which the relative dualizing object is ...
Beren Sanders
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EA-ADMM: noisy tensor PARAFAC decomposition based on element-wise average ADMM
Tensor decomposition is widely used to exploit the internal correlation in multi-way data analysis and process for communications and radar systems.
Gang Yue, Zhuo Sun
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A New Magnetic Target Localization Method Based on Two-Point Magnetic Gradient Tensor
The existing magnetic target localization methods are greatly affected by the geomagnetic field and exist approximation errors. In this paper, a two-point magnetic gradient tensor localization model is established by using the spatial relation between ...
Gaigai Liu +5 more
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Relative Tutte polynomials of tensor products of colored graphs [PDF]
The tensor product $(G_1,G_2)$ of a graph $G_1$ and a pointed graph $G_2$ (containing one distinguished edge) is obtained by identifying each edge of $G_1$ with the distinguished edge of a separate copy of $G_2$, and then removing the identified edges. A
Brylawski, Chmutov, G. HETYEI, Y. DIAO
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