Fractal geometry is used to model complicated natural and technical phenomena in various disciplines like physics, biology, finance, and medicine. Since most convincing models contain an element of randomness, stochastics enters the area in a natural way. This book documents the establishment of fractal geometry as a substantial mathematical theory. As in the previous volumes, which appeared in 1998 and 2000, leading experts known for clear exposition were selected as authors. They survey their field of expertise, emphasizing recent developments and open problems. Main topics include multifractal measures, dynamical systems, stochastic processes and random fractals, harmonic analysis on fractals.
This monograph, providing an up-to-date overview of the field of Hepatitis Prevention and Treatment, includes contributions from internationally recognized experts in the field of viral hepatitis, and covers the current state of knowledge and practice regarding the molecular biology, immunology, biochemistry, pharmacology and clinical aspects of chronic HBV and HCV infection. The volume includes salient topics such as: the history and epidemiology of HBV and HCV; recent insights into the molecular mechanisms of viral replication; the host immune response to infection and a discussion of the use (HBV) or potential development (HCV) of vaccines; the current standard of care for chronically-infected patients; and emerging therapies and issues associated with current antiviral treatments. The latest information to researchers and clinicians actively engaged in viral hepatitis research is provided, but also sufficient background and discussion of the literature to benefit the newcomer to the field.
Christoph Bandt
Chaos Dirichlet form Dynamical Systems Fractals Harmonic Analysis Lévy process Measure Stochastic Processes stochastic process