Resistive switching (RS) phenomena are reversible changes in the metastable resistance
state induced by external electric fields. After discovery∼ 50 years ago, RS phenomena …

We re-evaluate the experimental data concerning the large scale structure of the universe
utilizing the theoretical methods of modern statistical mechanics. This allows us to test the …

Fractals and disordered systems have recently become the focus of intense interest in
research. This book discusses in great detail the effects of disorder on mesoscopic scales …

The dynamics of complex systems in nature often occurs in terms of punctuations, or
avalanches, rather than following a smooth, gradual path. A comprehensive theory of …

An experimental realization is displayed in figure 2. A high-viscosity light-colored
hydrophobic fluid (2.5% hexadecyl end-capped polymer) was confined to a space 0.4 mm …

We introduce a renormalization scheme of novel type that allows us to characterize the
critical state and the scale invariant dynamics in sandpile models. The attractive fixed point …

Improved algorithms have been developed to simulate both off-lattice and hypercubic-lattice
diffusion-limited aggregation (DLA) in dimensionalities d in the range 2≤ d≤ 8. For the two …

It has been demonstrated that the general topological characteristics of branched electrical
discharges can be efficiently described by the concept of fractal geometry. However …

Irreversible fractal-growth models like diffusion-limited aggregation (DLA) and the dielectric
breakdown model (DBM) have confronted us with theoretical problems of a new type for …

We introduce a renormalization scheme of a type that is able to describe the self-organized
critical state (SOC) of sandpile models. We have defined a characterization of the phase …