Results 231 to 240 of about 7,995 (254)

Irrationality exponent and convergence exponent in continued fraction expansions

Nonlinearity
Abstract Let x ∈ ( 0 , 1 ) be an irrational number with continued ...
Song, Kunkun, Tan, Xiaoyan, Zhang, Zhenliang   +2 more
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On the exponent of convergence of a packing of spheres

Mathematika, 1966
Suppose, in n-dimensional Euclidean space, a sequence of disjoint closed spheres is packed into the open unit n-cube In in such a way as to ensure that the residual set has zero volume. Then, of course, is convergent and it can be shown, for n = 2, that is divergent. Let the exponent of convergence of the packing be the supremum of those real numbers t
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Convergence Exponent of a Singular Series for a Multi–Dimensional Problem

Moscow University Mathematics Bulletin, 2018
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Arkhipova, L. G., Chubarikov, V. N.
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A Convergence exponent for multidimensional continued-fraction algorithms

Journal of Statistical Physics, 1992
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Relation between fractal dimension and convergence exponents

Physics Letters A, 1984
Abstract The convergence exponents α and β introduced by Grassberger for the box-counting algorithm are discussed. We show that α (1 + β) is an estimate from above of the fractal dimension and we verify the relation in two cases.
R. Badii, A. Politi
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Convergence to a Gaussian limit as the normalization exponent tends to

Statistics & Probability Letters, 1991
Abstract Certain quadratic forms with long-range dependence, normalized by Nd with d > 1 2 , have a non-Gaussian limit, but under further normalization, as d → 1 2 , the limit becomes Gaussian.
Norma Terrin, Murad S. Taqqu
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Letter to the Editor: Addition to the Paper “On the Convergence Exponent of Trigonometric Integrals”

Proceedings of the Steklov Institute of Mathematics, 2022
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Distortion of the exponent of convergence in space

2004
For a discrete quasiconformal (qc) group \(G\) acting on \(\overline {\mathbb R}^n\) having regular set \( \Omega(G)\) and set of discontinuity \(\Lambda(G)\) the authors define the chordal exponent of convergence as \[ \delta_{\text{chord}}(G) = \inf \left\{ s > 0: \sum_{g\in G} {\text{ dist}}_{\text{chord}}\left( g(z_0),\Lambda(G)\right)^s
Bonfert-Taylor, Petra, Bridgeman, Martin, Taylor, Edward C.   +2 more
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Convergent Series with Exponents: 10928

The American Mathematical Monthly, 2003
Christopher J. Hillar, Patrick J. Fitzsimmons   +1 more
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The Exponent of Convergence of Poincaré Series

Proceedings of the London Mathematical Society, 1968
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