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A Note on the Global Dimension of Shifted Orders
We consider the dominant dimension of an order over a Cohen-Macaulay ring in the category of centrally Cohen-Macaulay modules. There is a canonical...
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Dominant and global dimension of blocks of quantised Schur algebras
Group algebras of symmetric groups and their Hecke algebras are in Schur-Weyl duality with classical and quantised Schur algebras, respectively. Two...
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Irreducible Representations of GLn(ℂ) of Minimal Gelfand–Kirillov Dimension
In this article, by studying the Bernstein degrees and Goldie rank polynomials, we establish a comparison between the irreducible representations of G ...
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A Zariski dense exceptional set in Manin’s Conjecture: dimension 2
Recently, Lehmann, Sengupta, and Tanimoto proposed a conjectural construction of the exceptional set in Manin’s Conjecture, which we call the...
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Dominant subspaces of high-fidelity polynomial structured parametric dynamical systems and model reduction
In this work, we investigate a model order reduction scheme for high-fidelity nonlinear structured parametric dynamical systems. More specifically,...
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On the space of initial values strictly satisfying the dominant energy condition
The dominant energy condition imposes a restriction on initial value pairs found on a spacelike hypersurface of a Lorentzian manifold. In this...
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On the conformal walk dimension: quasisymmetric uniformization for symmetric diffusions
We introduce the notion of conformal walk dimension, which serves as a bridge between elliptic and parabolic Harnack inequalities. The importance of...
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Many-Dimensional Morse–Smale Diffeomeophisms with a Dominant Saddle
AbstractThe article defines a class of Morse–Smale diffeomorphisms with a dominant saddle and provides necessary and sufficient conjugacy...
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Quasi-Simple Finite Groups of Essential Dimension 3
We classify quasi-simple finite groups of essential dimension 3.
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Finite volume ADI scheme for hybrid dimension heat conduction problems set in a cross-shaped domain
In this paper, we construct an alternating direction implicit (ADI) type finite volume numerical scheme to solve a nonclassical nonstationary heat...
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A bound on the second Betti number of hyperkähler manifolds of complex dimension six
Let M be an irreducible compact hyperkähler manifold of complex dimension six. Under an assumption on the Looijenga–Lunts–Verbitsky decomposition of...
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Nonlinear Schemes: Clustering, Feature Extraction and Dimension Reduction
Often data seem to sit in some high-dimensional space, because of the way they are recorded and presented. But intrinsically, they may be...
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Developments in the Computation of Reduced Order Models with the Use of Dominant Spectral Zeros
In this report we present a study on the computation of dominant spectral-zeros (DSZ) of a full order model (FOM) and its application to determining...