Results 121 to 130 of about 30,222 (232)
Failure of stability of a maximal operator bound for perturbed Nevo–Thangavelu means
Abstract Let G$G$ be a two‐step nilpotent Lie group, identified via the exponential map with the Lie‐algebra g=g1⊕g2$\mathfrak {g}=\mathfrak {g}_1\oplus \mathfrak {g}_2$, where [g,g]⊂g2$[\mathfrak {g},\mathfrak {g}]\subset \mathfrak {g}_2$. We consider maximal functions associated to spheres in a d$d$‐dimensional linear subspace H$H$, dilated by the ...
Jaehyeon Ryu, Andreas Seeger
wiley +1 more source
Graph potentials and topological quantum field theories
Abstract We introduce a new functional equation in birational geometry, whose solutions can be used to construct two‐dimensional topological quantum field theories (2d TQFTs), infinite‐dimensional in many interesting examples. The solutions of the equation give rise to a hierarchy of graph potentials, which, in the simplest setup, are Laurent ...
Pieter Belmans +2 more
wiley +1 more source
Commutators from a hyperplane of matrices
Comment: 20 ...
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Neurons embedded in loop‐like motifs act as central hubs for brain‐wide integration
Abstract figure legend Neurons form loop‐like triplet motifs in which activity originates in Areai, propagates to an external Areaj and returns to Areai. Neurons participating in these loops act as major external hubs, forming pairwise assemblies with neurons across multiple other areas (A–N).
Fabrizio Londei +6 more
wiley +1 more source
Similarity of matrices over commutative rings
The author considers matrices \(A\) over a commutative reduced ring \(R\) which have constant rational or Jordan type (that is, the shape of the rational or Jordan canonical form of the matrix \(\bar A\) is the same over the algebraic closure of the quotient ring of each prime homomorphic image \(\bar R\)).
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Commuting family of block Jacobi matrices
The well-known connection between orthogonal polynomials and Jacobi matrices is extended to orthogonal polynomials in several variables. This leads to block Jacobi matrices. A multidimensional analogue of the Stone theorem on self-adjoint operators with simple spectrum is obtained.
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Consimilarity of Commutative Quaternion Matrices [PDF]
Kösal, Hidayet Hüda +2 more
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LSD OF THE COMMUTATOR OF TWO DATA MATRICES
We study the spectral properties of a class of random matrices of the form $S_n^{-} = n^{-1}(X_1 X_2^* - X_2 X_1^*)$ where $X_k = Σ_k^{1/2}Z_k$, $Z_k$'s are independent $p\times n$ complex-valued random matrices, and $Σ_k$ are $p\times p$ positive semi-definite matrices that commute and are independent of the $Z_k$'s for $k=1,2$. We assume that $Z_k$'s
Hazarika, Javed, Paul, Debashis
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Commutants of some Hausdorff matrices [PDF]
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Space of k-commutative matrices
Marcus, Marvin, Khan, N. A.
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