This review addresses a central question in the field of complex systems: given a fluctuating
(in time or space), sequentially measured set of experimental data, how should one analyze …

This paper is devoted to the mechanics of fractally heterogeneous media. A model of fractal
continuum with a fractional number of spatial degrees of freedom and a fractal metric is …

This paper addresses an important fundamental question: the differences between wave
propagation in fractured porous media with a uniform matrix (constant bulk modulus) and …

We report on a stochastic analysis of Earth's vertical velocity time series by using methods
originally developed for complex hierarchical systems and, in particular, for turbulent flows …

We present both numerical and analytical studies of graphene roughness with a crystal
structure including 500× 500 atoms. The roughness can effectively result in a random gauge …

In 2007, NARSTO1 was asked to assess the technical challenges of transitioning from an
individual pollutant approach to air quality management to a risk-based approach that (a) …

We describe a method for the development of the optimal spatial distributions of the porosity
ϕ and permeability k of a large-scale porous medium. The optimal distributions are …

This paper is devoted to the mechanics of fractal materials. A continuum framework
accounting for the topological and metric properties of fractal domains in heterogeneous …

We study localization of elastic waves in two-dimensional heterogeneous solids with
randomly distributed Lamé coefficients, as well as those with long-range correlations with a …

High-quality measurements of seismic activities around the world provide a wealth of data
and information that are relevant to understanding of when earthquakes may occur. If …