منابع مشابه
A General Class of Self-similar Self-gravitating Fluids
I present a general classification of self-similar solutions to the equations of gravitational hydrodynamics that contain many previous results as special cases. For cold flows with spherical symmetry, the solution space can be classified into several regions of behavior similar to the Bondi solutions for steady flow. A full description of these solution is possible, which serves as the asympto...
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Let d ≥ 1 be an integer and E a self-similar fractal set, which is the attractor of a uniform contracting iterated function system (UIFS) on Rd. Denote by D the Hausdorff dimension, by HD(E) the Hausdorff measure and by diam(E) the diameter of E. If the UIFS is parametrised by its contracting factor c, while the set ω of fixed points of the UIFS does not depend on c, we will show the existence ...
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We introduce in this paper a method to calcúlate the Hessenberg matrix of a sum of measures from the Hessenberg matrices of the component measures. Our method extends the spectral techniques used by G. Mantica to calcúlate the Jacobi matrix associated with a sum of measures from the Jacobi matrices of each of the measures. We apply this method to approximate the Hessenberg matrix associated wit...
متن کاملMultivariate Operator-Self-Similar Random Fields
Multivariate random fields whose distributions are invariant under operatorscalings in both time-domain and state space are studied. Such random fields are called operator-self-similar random fields and their scaling operators are characterized. Two classes of operator-self-similar stable random fields X = {X(t), t ∈ R} with values in R are constructed by utilizing homogeneous functions and sto...
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ژورنال
عنوان ژورنال: Advances in Applied Probability
سال: 2005
ISSN: 0001-8678,1475-6064
DOI: 10.1239/aap/1134587746