Search Results - Matrices over function rings in one or more variables

Algebraic curves over a finite field by Hirschfeld, J. W. P, Korchmaros, Gabor, Torres, Fernando

“… Unlike other books, this one emphasizes the algebraic geometry rather than the function field approach to algebraic curves…”
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Denominators for one variable Poincaré series of generic matrices by Berele, Allan

“…We study the Poincaré series of the mixed and pure trace rings of generic matrices…”
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Convergence for noncommutative rational functions evaluated in random matrices by Collins, Benoît, Mai, Tobias, Miyagawa, Akihiro, Parraud, Félix, Yin, Sheng

“…One of the main applications of free probability is to show that for appropriately chosen independent copies of d random matrix models, any noncommutative polynomial in these d variables…”
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Increasing subsequences, matrix loci and Viennot shadows by Rhoades, Brendon

“…Let ${\mathbf {x}}_{n \times n}$ be an $n \times n$ matrix of variables, and let ${\mathbb {F}}[{\mathbf {x}}_{n \times n…”
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Realizations of Non-commutative Rational Functions Around a Matrix Centre, II: The Lost-Abbey Conditions by Porat, Motke, Vinnikov, Victor

“…) rational functions, using nc Fornasini–Marchesini realizations which are centred at an arbitrary matrix point…”
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Counting and construction of holomorphic primary fields in free CFT4 from rings of functions on Calabi-Yau orbifolds by de Mello Koch, Robert, Rabambi, Phumudzo, Rabe, Randle, Ramgoolam, Sanjaye

“…A bstract Counting formulae for general primary fields in free four dimensional conformal field theories of scalars, vectors and matrices are derived…”
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Vectorized Mathematical Model of a Slip-Ring Induction Motor by Wcislik, Miroslaw, Suchenia, Karol, Cyganik, Andrzej

“…The paper deals with the modeling of a slip-ring induction motor. Induction motors are very often used in industry and their suitable model is needed to reduce control and operating costs…”
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Denominators for One Variable Poincaré Series of Generic Matrices by Berele, Allan

“…We study the Poincaré series of the mixed and pure trace rings of generic matrices…”
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Integer-valued polynomials on algebras by Frisch, Sophie

“… on A. For Noetherian one-dimensional D, we determine spectrum and Krull dimension of the ring IntD…”
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Augmented polynomial matrices and algebraization of switching circuits by Yury G. Tarazevich

“…Over rings of polynomials with idempotent variables (over arbitrary fields) there are defined classes of augmented matrices…”
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Product expansions of q-character polynomials by Balachandran, Adithya, Gadish, Nir, Huang, Andrew, Sun, Siwen

“… This ring consists of certain class functions defined simultaneously on the groups Gl n ( F q ) for all n , which we also interpret as statistics on matrices…”
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Control of a wind generation system based on a Brushless Doubly-Fed Induction Generator fed by a matrix converter by Cárdenas, Roberto, Peña, Rubén, Wheeler, Patrick, Clare, Jon, Muñoz, Andrés, Sureda, Alvaro

“…) using this variable speed technology. However, the conventional DFIG requires brushes and copper slip-rings to connect a power converter to the rotor…”
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Some algebras similar to the 2×2 Jordanian matrix algebra by Gaddis, Jason, Price, Kenneth L.

“…The impetus for this study is the work of Dumas and Rigal on the Jordanian deformation of the ring of coordinate functions on 2×2 matrices…”
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Representation Theory and Harmonic Analysis on Symmetric Spaces by Christensen, Jens Gerlach, Dann, Susanna, Dawson, Matthew

“…, complex analysis, operator algebras, Lie algebras, special functions, and differential operators…”
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Convergence map with action-angle variables based on square matrix for nonlinear lattice optimization by Yu, Li Hua, Hidaka, Yoshiteru, Smaluk, Victor, Anderson, Kelly, Hao, Yue

“… The dynamic equation can be rewritten in terms of action-angle variables provided by the square matrix derived from the accelerator lattice…”
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Auto-Correlation Functions for Unitary Groups by Lee, Kyu-Hwan, Oh, Se-Jin

“…We compute the auto-correlations functions of order m ≥ 1 for the characteristic polynomials of random matrices from certain subgroups of the unitary groups U ( 2 ) and U ( 3…”
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Convergence for noncommutative rational functions evaluated in random matrices by Collins, Benoît, Mai, Tobias, Miyagawa, Akihiro, Parraud, Félix, Yin, Sheng

“…\) random matrix models, any noncommutative polynomial in these \(d\) variables has a spectral distribution that converges asymptotically and can be described with the help of free probability…”
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Operator realizations of non-commutative analytic functions by Augat, Méric L., Martin, Robert T. W., Shamovich, Eli

“…-$ tuples of square matrices of any fixed size. For example, a univariate realization, i.e., where A is a single bounded linear operator, defines a holomorphic function…”
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Can Density Matrix Embedding Theory with the Complete Activate Space Self-Consistent Field Solver Describe Single and Double Bond Breaking in Molecular Systems? by Pham, Hung Q, Bernales, Varinia, Gagliardi, Laura

“…Density matrix embedding theory (DMET) [ Phys. Rev. Lett. 2012, 109, 186404] has been demonstrated as an efficient wave-function-based embedding method to treat extended systems…”
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Dielectric Matrix Formulation of Correlation Energies in the Random Phase Approximation: Inclusion of Exchange Effects by Mussard, Bastien, Rocca, Dario, Jansen, Georg, Ángyán, János G

“…) framework, it is shown that the dielectric matrix formulation, which is usually applied to calculate the direct random phase approximation (dRPA…”
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