This work analyzes the $$SePaC$$ method of fractals and various background events (mixed, random, distributed according to Gauss’s law, as well by power exponential laws) in order search reconstruct fractal structures. It is shown that some are reconstucted fractals. Dimensional distributions considered. found these for different. Characteristics proposed describe features They compared events...

Associative recognition memory often is thought to rely primarily on recollection processes, but opinions differ regarding the possible contribution of familiarity. The current experiments capitalized on hypothesized event-related potential (ERP) measures of familiarity and recollection to assess the contribution of each process to associative recognition. In two ERP experiments, participants s...

We present general methods to exactly calculate mean first-passage quantities on self-similar networks defined recursively. In particular, we calculate the mean first-passage time and the splitting probabilities associated to a source and one or several targets; averaged quantities over a given set of sources (e.g., same-connectivity nodes) are also derived. The exact estimate of such quantitie...

The attractors of Iterated Function Systems in Euclidean space IFS fractals have been the subject of great interest for their ability to visually model a wide range of natural phenomena. Indeed computer-generated plants are often modeled using 3D IFS fractals, and thus their extent in virtual space is a fundamental question, whether for collision detection or ray tracing. A great variety of alg...

This paper explores the generalization of fixed-point theorem for Fisher contraction on controlled metric space. The space and contractions are playing a very crucial role in this research. is used to generate new type fractal set called fractals (CF-Fractals) by constructing system named iterated function (CF-IFS). Furthermore, interesting results consequences demonstrated. In addition, collag...

Kusuoka's measure on fractals is a Gibbs of very special kind, since its potential discontinuous while the standard theory measures requires continuous (in simplest version, Holder) potentials. In this paper we shall see that for many it possible to build class matrix-valued completely within scope theory; there are naturally some minor modifications, but they only due fact dealing with functio...

The article proposes a model of cluster innovative development urban agglomerations in the form open closed rings using fractals. existing dissipative properties space agglomerations, such as openness, nonlinearity, instability, nonequilibrium, require transformations to preserve their structures. Fractals, possessing property self-similarity, allow organizing territorial based on ability build...

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The term fractal was first introduced by Mandelbrot to denote sets with highly irregular structures. Mandelbrot and others have then used fractals to model various natural phenomena (for example, [19, 2]). A mathematical development of fractals via the theory of (non-random) self-similar sets and measures was given by Hutchinson [12]. A family of contractive maps {Sj}^ on E m is called an itera...