Projections of self-similar sets
Self similar sets: projections, sections and percolation
... orthogonal projections of self-similar sets and of random subsets obtained by percolation on self-similar ...the projections takes the generic value for all, or very ...
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The Assouad dimensions of projections of planar sets
... often referred to as the Hutchinson-Moran formula. If the OSC is not satisfied, then the dimensions are more difficult to get hold of and indeed the Assouad and Hausdorff dimensions may be distinct [Fr, FHOR]. One still ...
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Dimension conservation for self similar sets and fractal percolation
... of projections of related random subsets. The method applies to sets that can be modeled in terms of an infinite rooted ...include self-similar sets, where the tree provides a natural ...
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Average distances on self-similar sets and higher order average distances of self-similar measures
... There is also a connection between the results in this paper and recent studies of the Kantorovich–Wasserstein distance between two self-similar measures. We first recall the definition of the ...
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Dimension and measure theory of self similar structures with no separation condition
... for self-similar sets, which appears in ...a self-similar subset of a given graph directed attractor such that the Hausdor dimension of the self-similar set is arbitrary ...
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Exact dimensionality and projections of random self similar measures and sets
... its projections and sections e (with respect to the Haar measure on G) are exact dimensional, that is the local dimensions exist and are constant almost ...of self-similar sets, giving ...
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Distance sets, orthogonal projections, and passing to weak tangents
... Consider the set π(F × F ) where π is orthogonal projection onto the subspace of R 2 spanned by (1, −1) identified with R . This is a self-similar set defined by 2K −1 equicon- tractive similarities with ...
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Dimension theory of random self similar and self affine constructions
... (IFSs), which go back to Barnsley and Demko [BD]. Each IFS has a unique associated set known as the attractor with the advantage that the IFS effectively describes the similarities on different scales. We will review the ...
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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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Self similar Markov processes and the time inversion property
... on self-similar Markov processes ...the self-similarity property for the general class of ssMps on R n , before considering abstractions of these processes restricted to R + and R given by the ...
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Self Similar Network Traffic and Performance Evaluation pdf
... with self-similar input are great, and this part of the book exposes what is known about queueing with self- similar input, above and beyond the phenomenon that queue length distribution ...
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The Compound Indexing of Human Self Similar Behavioural Patterns
... Applications of a constitutive framework providing compound complexity analysis and indexing of coarse-grained self-similar time series representing behavioural data are presented. A notion of behavioural ...
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An analogue of Khintchine's theorem for self conformal sets
... limsup sets with the convergence/divergence of naturally occurring volume ...limsup sets defined using the IFS is determined by the convergence/divergence of naturally occurring ...
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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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Effectiveness of similar sets of polynomials of two complex variables in polycylinders and in Faber regions
... In the present paper we nvesugate the effecuveness of simdar sets of polynomials of two complex variables n polycyhnder and in Faber regions of the four dmensmnal space E.. KEY WORDS AND[r] ...
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'Gene shaving' as a method for identifying distinct sets of genes with similar expression patterns
... Some authors have recently explored the use of clustering methods to arrange the genes in some systematic way, with similar genes placed close together (see [2] for developments and [15] for an overview). In ...
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Self-similar groups and finite Gelfand pairs
... However, we prove that the Basilica group has the following strong property: the rigid vertex stabilizers of the first level, namely Rist B (0).. and Rist B (1) , act spherically transiti[r] ...
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Self-similar growth of a bimodal laboratory fan
... remarkably similar to that of natural fans; in particular, a network of migrating and avulsing channels radially dis- tributes the sediment across the fan ...
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Opportunistic Spectrum Access in Self-Similar Primary Traffic
... We take a stochastic optimization approach to opportunity tracking and access in self-similar primary traffic. Based on a multiple time-scale hierarchical Markovian model, we formulate opportunity tracking ...
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On Interval-Valued Fuzzy on Ideal Sets
... Fuzzy sets, formalized by Zadeh in 1965, generalizes the classical idea of ...ideal sets, where an ideal is a nonempty collection of sets with a property describing the notion of ...ideal sets ...
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