One of the ways to understand the complexity in scientific disciplines is through the use of fractal geometry. Tremendous progress has been made in this field since its inception some two decades ago. This book collects the papers at the cutting-edge, reflecting the current status of fractals. With its special emphasis on the multidisciplinary research, the book represents a unique contribution to the understanding of the complex phenomena in nature.
A new approach for multifractal analysis of turbulence signals; a regulation approach to fractional dimension estimation; a study of fluctuations in simulated extensive air showers; algorithmic complexity and thermodynamics of fractals; arithmetic fractals in an electronic loop; capturing self-similarity of nature into formulas; comparative analysis of the geometrical properties of the surface for some protein familes; complexity and fractal geometry in superconductivity; computer simulation study of influence of fractal-like lipid structures on protein lateral diffusion in biomembranes; continuous large deviation multifractal spectrum; definition and estimation; convergence of branching cellular automata; effect of leaching of dissolved organic carbon on fractal dimension of soils; analysis of mercury porosimetry and water vapour adsorption data; ergodic theorems for time-dependent random iteration of functions; fractal dimensions of acupoints distribution on the human body surface and fractal structure of acupoint system functions. (Part contents).