Results 1 to 10 of about 11 (11)
Isotopy classes for 3‐periodic net embeddings
Acta Crystallographica Section A, Volume 76, Issue 3, Page 275-301, May 2020., 2020 Entangled embedded periodic nets and crystal frameworks are defined, along with their dimension type, homogeneity type, adjacency depth and periodic isotopy type.Entangled embedded periodic nets and crystal frameworks are defined, along with their dimension type, homogeneity type, adjacency depth and periodic isotopy type.
Stephen C. Power +2 more
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Dark Energy from the Gas of Wormholes
Journal of Astrophysics, Volume 2013, Issue 1, 2013., 2013 We assume the space‐time foam picture in which the vacuum is filled with a gas of virtual wormholes. It is shown that virtual wormholes form a finite (of the Planckian order) value of the energy density of zero‐point fluctuations. However such a huge value is compensated by the contribution of virtual wormholes to the mean curvature and the observed ...
A. A. Kirillov +4 more
wiley +1 more source
Advances in Mathematical Physics, Volume 2011, Issue 1, 2011., 2011 Through the systematic use of the Minlos theorem on the support of cylindrical measures on R∞, we produce several mathematically rigorous finite‐volume euclidean path integrals in interacting euclidean quantum fields with Gaussian free measures defined by generalized powers of finite‐volume Laplacian operator.
Luiz C. L. Botelho, Klaus Kirsten
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Optimal Estimators for Threshold‐Based Quality Measures
Journal of Probability and Statistics, Volume 2010, Issue 1, 2010., 2010 We consider a problem in parametric estimation: given n samples from an unknown distribution, we want to estimate which distribution, from a given one‐parameter family, produced the data. Following Schulman and Vazirani (2005), we evaluate an estimator in terms of the chance of being within a specified tolerance of the correct answer, in the worst case.
Aaron Abrams +6 more
wiley +1 more source
Ergodic sequences of probability measures on commutative hypergroups
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 7, Page 335-343, 2004., 2004 We study conditions on a sequence of probability measures {μn}n on a commutative hypergroup K, which ensure that, for any representation π of K on a Hilbert space ℋπ and for any ξ ∈ ℋπ, (∫Kπx(ξ)dμn(x)) n converges to a π‐invariant member of ℋπ.
Liliana Pavel
wiley +1 more source
Absolutely continuous measures and compact composition operator on spaces of Cauchy transforms
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 55, Page 2937-2945, 2004., 2004 The analytic self‐map of the unit disk D, φ is said to induce a composition operator Cφ from the Banach space X to the Banach space Y if Cφ(f) = f∘φ ∈ Y for all f ∈ X. For z ∈ D and α > 0, the families of weighted Cauchy transforms Fα are defined by f(z)=∫TKxα(z)dμ(x), where μ(x) is complex Borel measure, x belongs to the unit circle T, and the kernel ...
Yusuf Abu Muhanna, El-Bachir Yallaoui
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On vector‐valued Hardy martingales and a generalized Jensen′s inequality
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 9, Page 527-532, 2003., 2003 We establish a generalized Jensen′s inequality for analytic vector‐valued functions on 𝕋N using a monotonicity property of vector‐valued Hardy martingales. We then discuss how this result extends to functions on a compact abelian group G, which are analytic with respect to an order on the dual group.
Annela R. Kelly, Brian P. Kelly
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A note on Hammersley′s inequality for estimating the normal integer mean
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 34, Page 2147-2156, 2003., 2003 Let X1, X2, …, Xn be a random sample from a normal N(θ, σ2) distribution with an unknown mean θ = 0, ±1, ±2, …. Hammersley (1950) proposed the maximum likelihood estimator (MLE) d=[X¯n], nearest integer to the sample mean, as an unbiased estimator of θ and extended the Cramér‐Rao inequality.
Rasul A. Khan
wiley +1 more source
Self‐similar random fractal measures using contraction method in probabilistic metric spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 52, Page 3299-3313, 2003., 2003 Self‐similar random fractal measures were studied by Hutchinson and Rüschendorf. Working with probability metric in complete metric spaces, they need the first moment condition for the existence and uniqueness of these measures. In this paper, we use contraction method in probabilistic metric spaces to prove the existence and uniqueness of self‐similar
József Kolumbán +2 more
wiley +1 more source
VLSI Design, Volume 15, Issue 4, Page 721-728, 2002., 2002 Two modern hyperbolic methods—a second‐order Godunov method in the software package CLAWPACK and the second‐order Nessyahu–Tadmor–Kurganov (NTK) central scheme—are compared for simulating an electron shock wave in the classical hydrodynamic model for semiconductor devices.
Carl L. Gardner +2 more
wiley +1 more source