Results 11 to 20 of about 149,239 (310)
Packing-Dimension Profiles and Fractional Brownian Motion [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2007 In order to compute the packing dimension of orthogonal projections Falconer and Howroyd (1997) introduced a family of packing dimension profiles ${\rm Dim}_s$ that are parametrized by real numbers $s>0$.
DAVAR KHOSHNEVISAN +4 more
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The sphere packing problem in dimension 24 [PDF]
Annals of Mathematics, 2017 Building on Viazovska's recent solution of the sphere packing problem in eight dimensions, we prove that the Leech lattice is the densest packing of congruent spheres in twenty-four dimensions and that it is the unique optimal periodic packing.
Cohn, H. +4 more
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Packing dimension of mean porous measures [PDF]
Journal of the London Mathematical Society, 2009 We prove that the packing dimension of any mean porous Radon measure on $\mathbb R^d$ may be estimated from above by a function which depends on mean porosity. The upper bound tends to $d-1$ as mean porosity tends to its maximum value.
Beliaev, D. +6 more
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Effective packing dimension of $\Pi ^0_1$-classes [PDF]
Proceedings of the American Mathematical Society, 2008 Summary: We construct a \( \Pi^0_1\)-class \( X\) that has classical packing dimension 0 and effective packing dimension 1. This implies that, unlike in the case of effective Hausdorff dimension, there is no natural correspondence principle (as defined by Lutz) for effective packing dimension.
Chris J. Conidis
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Packing dimension and Cartesian products [PDF]
Transactions of the American Mathematical Society, 1996 We show that for any analytic set A A in R d \mathbf {R}^d , its packing dimension dim P ( A ) \dim _{\mathrm {P}}(A) can be represented as
Christopher J. Bishop, Yuval Peres
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Multifractal phenomena and packing dimension [PDF]
Revista Matemática Iberoamericana, 2019 We undertake a general study of multifractal phenomena for functions or measures. We show that the existence of several kinds of multifractal functions or measures can be easily deduced from an abstract statement, leading to new results. This general approach does not work for Fourier or Dirichlet series.
Bayart, Frédéric, Heurteaux, Yanick
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Orthogonal Packings in Two Dimensions [PDF]
SIAM Journal on Computing, 1980 We consider problems of packing an arbitrary collection of rectangular pieces into an open-ended, rectangular bin so as to minimize the height achieved by any piece. This problem has numerous applications in operations research and studies of computer operation.
Baker, Brenda S. +2 more
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Packing dimension profiles and Lévy processes [PDF]
Bulletin of the London Mathematical Society, 2012 We extend the concept of packing dimension profiles, due to Falconer and Howroyd (1997) and Howroyd (2001), and use our extension in order to determine the packing dimension of an arbitrary image of a general Levy process.
Khoshnevisan, Davar +2 more
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Modern Stochastics: Theory and Applications, 2015 The article is devoted to finding conditions for the packing dimension preservation by distribution functions of random variables with independent $\tilde{Q}$-digits.
Oleksandr Slutskyi
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Nucleon matrix element of Weinberg's CP-odd gluon operator from the instanton vacuum
Physics Letters B, 2021 We calculate the nucleon matrix element of Weinberg's dimension-6 CP-odd gluon operator fabc(F˜μν)a(Fμρ)b(Fρν)c in the instanton vacuum. In leading order of the instanton packing fraction, the dimension-6 operator is effectively proportional to the ...
C. Weiss
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