The Self-Similar Distribution
Self similar pattern formation and continuous mechanics of self similar systems
... by self-similar pat- tern ...of self-similar distribution of interacting ...of self-similar crack ...of self- similar crack distributions with respect to ...
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WeyΓs Problem for the Spectral Distribution of Laplacians on P.C.F. Self-Similar Fractals
... A pre- Tauberian form of (0.5) (for the trace of the heat semigroup) was previously obtained for the Dirichlet Laplacian by Brossard-Carmona [BC]. See also [LF] and [La2].) Further, in c[r] ...
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Average distances on self-similar sets and higher order average distances of self-similar measures
... C 2 k | x − y | d(x , y) C k 2 d(x , y) , and the result therefore follows immediately from Theorem 2.1. ⊓ ⊔ The second corollary, i.e. Corollary 2.3, computes the average distance between two points in C with respect to ...
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The Lamperti transformation for self-similar processes
... which is well defined for 0 < H < 1 and 0 < α ≤ 2. In order to approximate the integral, we use the method introduced by Mandelbrot and Wallis [8] replacing a sequence of Gaussian with α-stable random variables. In Fig. ...
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Methods for analysis of functionals on Gaussian self similar processes
... Chapter 3 provides generalisation of both the theorem of Ramer which finds a for- mula for the Radon-Nikodym derivative of a transformed Gaussian measure and of the Girsanov theorem. A P -measurable derivative of a P ...
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Parisian ruin of self-similar Gaussian risk processes
... ∈ (0, ∞ ) (12) for any T ∈ [0, ∞ ). We conclude this section with a general result for the tail of the sup-inf functional applied to the Gaussian process Z. Recall that by Φ( · ) we denote the distribution ...
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Self Similar Network Traffic and Performance Evaluation pdf
... with self-similar input are ...queueingwith self-similar input, startingwith the trademark phenomenon that the queue length distribution decays subexponen- tiallyÐas opposed to ...
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A Self Similar Call Admission Control Algorithm in WiMAX
... estimates is almost the same as actual network occupied bandwidth, and SS-CAC algorithm reduces the call blocking rate, and improves the system resource utilization and throughput. It should also be noted that the con- ...
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Opportunistic Spectrum Access in Self-Similar Primary Traffic
... However, after all channels have been visited, the channel ordering assumption will be satisfied and the structure of the myopic policy will hold thereafter. We notice that the secondary user usually has no initial ...
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Self similar Markov processes and the time inversion property
... some distribution that can be seen in the experimental data or that follows logically from a combina- tion of our current understanding and outputs that we would like from the ...stable distribution; most ...
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Dimension conservation for self similar sets and fractal percolation
... a self-similar random ...probability distribution, and write K 1 for the union of the selected ...probability distribution, independently for each i, with the union of these sets comprising K ...
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Branch Thinning and the Large-Scale, Self-Similar Structure of Trees
... be self-similar in the sense that subbranches are architecturally scaled-down versions of the full branch, with a cutoff at the scale of ...size distribution of branches or the consequences of ...
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Effective immunization of online networks: a self-similar selection approach
... connections and eventually form a network in the border- less and fast-growing cyber space. People make a decision on what web sites they link to their web documents based on their own interests, which determines the ...
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CiteSeerX — Self-Similar Factor Approximants
... the self-similar factors, can be completely defined from a given asymptotic expansion by the so-called “accuracy-through-order” matching ...the self-similar exponentials whose controls, ...
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Inhomogeneous self similar sets with overlaps
... from the defining IFS. This means that for countably stable dimensions, like the Hausdorff dimension dim H , one immediately obtains dim H F C = max{dim H F ∅ , dim H C}, but establishing similar formulae for ...
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Inhomogeneous self similar sets and measures
... self-similar measures may be non-concave. This is in sharp contrast to the well known behaviour of the multifractal spectra of self-similar measures satisfying the Open Set Condition. We will ...
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Dimension theory of random self similar and self affine constructions
... that self-similar and self-conformal attractors have finite Hausdorff measure and Hausdorff, packing and box-counting dimensions ...∞-variable self-similar random graph directed ...
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Advection-dominated accretion: A self-similar solution
... Abstract We consider viscous rotating accretion flows in which most of the viscously dissipated energy is stored as entropy rather than being radiated. Such advection-dominated flows may occur when the optical depth is ...
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Self-similar groups and finite Gelfand pairs
... is 2-points homogeneous, following the same idea that we used for the Basilica group. Acknowledgments We were introduced to beautiful theory of self-similar groups during our stay at the Mathematics ...
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Self similar evolution of Alfven wave turbulence
... The self-similar solution corresponding to x = x ∗ is the only one that forms asymptotically at large k in the initial value problem of the evolution equation under consideration with initial data in a ...
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