Results 41 to 50 of about 10,069,733 (332)
Constructing Concise Characteristic Samples for Acceptors of Omega Regular Languages [PDF]
Logical Methods in Computer ScienceA characteristic sample for a language $L$ and a learning algorithm $\textbf{L}$ is a finite sample of words $T_L$ labeled by their membership in $L$ such that for any sample $T \supseteq T_L$ consistent with $L$, on input $T$ the learning algorithm ...
Dana Angluin, Dana Fisman
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Multiplicative chaos and the characteristic polynomial of the CUE: The 𝐿¹-phase [PDF]
Transactions of the American Mathematical Society, 2018 In this article we prove that suitable positive powers of the absolute value of the characteristic polynomial of a Haar distributed random unitary matrix converge in law, as the size of the matrix tends to infinity, to a Gaussian multiplicative chaos ...
Miika Nikula, E. Saksman, Christian Webb
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The Characteristic Polynomials of Symmetric Graphs [PDF]
Symmetry, 2018 In this paper, we study the way the symmetries of a given graph are reflected in its characteristic polynomials. Our aim is not only to find obstructions for graph symmetries in terms of its polynomials but also to measure how faithful these algebraic invariants are with respect to symmetry.
Nafaa Chbili +3 more
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Commuting row contractions with polynomial characteristic functions
, 2021 A characteristic function is a special operator-valued analytic function defined on the open unit ball of C n associated with an n-tuple of commuting row contraction on some Hilbert space.
Sarkar Jaydeb +2 more
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On the moments of the characteristic polynomial of a Ginibre random matrix [PDF]
Proceedings of the London Mathematical Society, 2017 In this article, we study the large N asymptotics of complex moments of the absolute value of the characteristic polynomial of an N×N complex Ginibre random matrix with the characteristic polynomial evaluated at a point in the unit disk.
Christian Webb, M. Wong
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On Polynomial Values of the Discriminants of Characteristic Polynomials
Journal of Number Theory, 1996 For a square matrix \(A\), denote by \({\mathcal D} (A)\) the discriminant of its monic characteristic polynomial. Under some necessary conditions imposed on \(A\) and \(f\), \textit{J. G. Grytczuk} [Discuss. Math. 12, 45-51 (1992; Zbl 0787.11004)] showed that if \(A\) is a \(2\times 2\)-matrix with entries in \({\mathbb{Z}}\) and if \(f(X)\) is a ...
Brindza, B, Pintér, Á, Végső, J
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Bifurcation of the roots of the characteristic polynomial and the destabilization paradox in friction induced oscillations [PDF]
Theoretical and Applied Mechanics, 2007 Paradoxical effect of small dissipative and gyroscopic forces on the stability of a linear non-conservative system, which manifests itself through the unpredictable at first sight behavior of the critical non-conservative load, is studied.
Kirillov O.N.
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On equiangular lines in 17 dimensions and the characteristic polynomial of a Seidel matrix [PDF]
Mathematics of Computation, 2018 For $e$ a positive integer, we find restrictions modulo $2^e$ on the coefficients of the characteristic polynomial $\chi_S(x)$ of a Seidel matrix $S$. We show that, for a Seidel matrix of order $n$ even (resp. odd), there are at most $2^{\binom{e-2}{2}}$
Gary R. W. Greaves, Pavlo Yatsyna
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Roots of Characteristic Polynomial Sequences in Iterative Block Cyclic Reductions
Mathematics, 2021 The block cyclic reduction method is a finite-step direct method used for solving linear systems with block tridiagonal coefficient matrices. It iteratively uses transformations to reduce the number of non-zero blocks in coefficient matrices.
Masato Shinjo +3 more
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The characteristic polynomial of the monodromy [PDF]
Pacific Journal of Mathematics, 1975 This paper contains miscellaneous results about the monodromy of a singularity of an algebraic curve f(zOt zj9 particularly its characteristic polynomial, and its relation to branched cyclic covers of the link of the singularity.
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