Self-Similar
A Self Similar Fractal Cantor Antenna for MICS Band Wireless Applications
... the self-similar property of fractal ...A self similar [3] structure is that which is scaled down by itself to a maximum num- ber of possible iterations (n) and because of this, the size of ...
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The Compound Indexing of Human Self Similar Behavioural Patterns
... Table 1. The table summarises about fifteen hours of surrogate data segmented and indexed in two hours time intervals. The presented indices correspond to a highly trained subject. The Hurst exponents are estimated using ...
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Dimension and measure theory of self similar structures with no separation condition
... uses similar arguments to those of Simon and Solomyak [72] to show that the projection measure has innite upper density almost everywhere, whilst we use a Vitali covering argument to show that the Hausdor measure ...
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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 crack ...
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Exact dimensionality and projections of random self similar measures and sets
... on self-similar ...a self-similar set K. In particular, e µ is statistically self-similar, that is, roughly speaking, the restriction of µ e to each small scale component of K ...
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A Self Similar Call Admission Control Algorithm in WiMAX
... where κ ( H ) = H H (1 − H ) 1 − H , variable m and a represent the average transmission rate (in bits/sec) of the traf- fic and the variance coefficient of the traffic (in bit-sec), respectively. Constant H, ε , and x ...
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Methods for analysis of functionals on Gaussian self similar processes
... The derivation of the Kolmogorov Forward Equation formula for fractional Brownian motion can be found in (Zeng et al. 2012). It should be noted this result was provided without any restrictions on the range of Hurst ...
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Positive measure self similar sets without interior
... on self-similar and self-affine sets; an ...of self-similar sets with positive Lebesgue measure, but with no interior? The method in Properties of measures supported on fat Sierpinski ...
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Inversion, duality and Doob h transforms for self similar Markov processes
... For instance, if d = 1 and S = {1} , then it follows from (2.3) that ξ is a possibly killed real Lévy process. Hence our result implies Theorem 4.1 of Lamperti [22], who proved that all positive ...
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Average distances between points in graph directed self similar fractals
... Graph-directed self-similarl sets and graph-directed self-similar ...graph-directed self-similar sets and measures, and introduce various notation that will be used throughout the ...
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Well posedness and self similar asymptotics for a thin film equation
... source-type self-similar profile is a global attractor of entropy solutions with compactly supported initial ...source-type self-similar solutions for the corresponding classical free boundary ...
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Dimension conservation for self similar sets and fractal percolation
... A number of results on dimension conservation of self-similar sets have been established. Furstenberg [9] showed that (1.3) holds for projections onto all sub- spaces V for a class of ‘homogeneous’ sets. ...
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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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Inhomogeneous self similar sets with overlaps
... We also obtain new upper bounds, derived using sumsets, for the upper box dimension of an inhomogeneous self-similar set which hold in general. Moreover, our counterexamples demonstrate that these bounds ...
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The visible part of plane self similar sets
... The relationship between the Hausdorff dimension of F and its visible subsets from various points or directions is of particular interest. It has been suggested that if F has Hausdorff dimension greater than 1, then the ...
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Average distances on self-similar sets and higher order average distances of self-similar measures
... a self-similar subset of R has recently been investigated by Leary et ...some self- similar subsets of R n for n ≥ 2, and for points belonging to certain families of fat Cantor subsets of R ...
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Self Similar Models and How to Find Them: A Moment Theory Approach
... As previously commented, the space P(X) is ‘larger’ than H(X). The observation given above shows that solving the inverse problem in P (X) in an unconstrained manner is exceptionally difficult. Our original modelling ...
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Self similar solutions of semilinear wave equations with a focusing nonlinearity
... We remark that equation (5) has been studied by Kavian and Weissler [7] who made many interesting observations about the behaviour of solutions but unfortunately they imposed very restrictive fall-off conditions at ...
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Dispersion relations and wave operators in self-similar quasi-continuous linear chains
... and self-similar structures or media become more and more a subject of interest also in analytical mechanics and engineering ...on self-similarity and “fractality” are still very limited due to a ...
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Self similar formation of the Kolmogorov spectrum in the Leith model of turbulence
... a similar scenario was observed in the numerical simulations of the wave-kinetic equation of weak MHD turbulence in ...a self-similar solution of the third kind of the inviscid Leith equation ...
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