Christoph Bandt

Fractal Geometry and Stochastics III - Progress in Probability Christoph Bandt Softcover reprint of the original 1st ed. 2004 edition

Description for Sales People: 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. Table of Contents: 1. Fractal Sets and Measures.- Markov Operators and Semifractals.- On Various Multifractal Spectra.- One-Dimensional Moran Sets and the Spectrum of Schrodinger Operators.- 2. Fractals and Dynamical Systems.- Small-scale Structure via Flows.- Hausdorff Dimension of Hyperbolic Attractors in $$ {\mathbb{R} DEGREES3}$$.- The Exponent of Convergence of Kleinian Groups; on a Theorem of Bishop and Jones.- Lyapunov Exponents Are not Rigid with Respect to Arithmetic Subsequences.- 3. Stochastic Processes and Random fractals.- Some Topics in the Theory of Multiplicative Chaos.- Intersection Exponents and the Multifractal Spectrum for Measures on Brownian Paths.- Additive Levy Processes: Capacity and Hausdorff Dimension.- 4. Fractal Analysis in Euclidean Space.- The Fractal Laplacian and Multifractal Quantities.- Geometric Representations of Currents and Distributions.- Variational Principles and Transmission Conditions for Fractal Layers.- 5. Harmonic Analysis on Fractals.- Function Spaces and Stochastic Processes on Fractals.- A Dirichlet Form on the Sierpinski Gasket, Related Function Spaces, and Traces.- Spectral Zeta Function of Symmetric Fract