Are there universal laws governing the persistence of weather, and is it possible to predict climate transitions as generated by natural or man-made perturbations? How can one quantify the roller-coaster dynamics of stock markets and anticipate mega-crashes? Can we diagnose the health condition of patients from heartbeat time-series analysis, which may even form the basis for infarct prevention? This book tackles these questions by applying advanced methods from statistical physics and related fields to all types of non-linear dynamics prone to disaster. The transdisciplinary analysis is...

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 (fractures, aggregates, colloids, surfaces and interfaces, glasses and polymers) and presents tools to describe them in mathematical language. A substantial part is devoted to the development of scaling theories based on fractal concepts. In ten chapters written by leading experts in the field, the reader is introduced to basic concepts and techniques in disordered systems and is led to the forefront of current...

Are there universal laws governing the persistence of weather, and is it possible to predict climate transitions as generated by natural or man-made perturbations? How can one quantify the roller-coaster dynamics of stock markets and anticipate mega-crashes? Can we diagnose the health condition of patients from heartbeat time-series analysis, which may even form the basis for infarct prevention? This book tackles these questions by applying advanced methods from statistical physics and related fields to all types of non-linear dynamics prone to disaster. The transdisciplinary analysis is...

The fractal concept has become an important tool for understanding irregular complex systems in various scientific disciplines. This book discusses in great detail fractals in biology, heterogeneous chemistry, polymers, and the earth sciences. Beginning with a general introduction to fractal geometry it continues with eight chapters on self-organized criticality, rough surfaces and interfaces, random walks, chemical reactions, and fractals in chemistry, biology, and medicine. A special chapter entitled "Computer Exploration of Fractals, Chaos, and Cooperativity" presents computer...