Bandt, Mosco, Zahle Fractal geometry and stochastics III

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. Front Matter....Pages i-x Front Matter....Pages 1-1 Markov Operators and Semifractals....Pages 3-22 On Various Multifractal Spectra....Pages 23-42 One-Dimensional Moran Sets and the Spectrum of Schrödinger Operators....Pages 43-56 Front Matter....Pages 57-57 Small-scale Structure via Flows....Pages 59-78 Hausdorff Dimension of Hyperbolic Attractors in R 3 ....Pages 79-92 The Exponent of Convergence of Kleinian Groups; on a Theorem of Bishop and Jones....Pages 93-107 Lyapunov Exponents Are not Rigid with Respect to Arithmetic Subsequences....Pages 109-116 Front Matter....Pages 117-117 Some Topics in the Theory of Multiplicative Chaos....Pages 119-134 Intersection Exponents and the Multifractal Spectrum for Measures on Brownian Paths....Pages 135-150 Additive Lévy Processes: Capacity and Hausdorff Dimension....Pages 151-170 Front Matter....Pages 171-171 The Fractal Laplacian and Multifractal Quantities....Pages 173-192 Geometric Representations of Currents and Distributions....Pages 193-204 Variational Principles and Transmission Conditions for Fractal Layers....Pages 205-217 Front Matter....Pages 219-219 Function Spaces and Stochastic Processes on Fractals....Pages 221-234 A Dirichlet Form on the Sierpinski Gasket, Related Function Spaces, and Traces....Pages 235-244 Spectral Zeta Function of Symmetric Fractals....Pages 245-262 This up-to-date monograph, providing an up-to-date overview of the field of Hepatitis Prevention and Treatment, includes contributions from internationally recognized experts on 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 book provides the latest information, with sufficient background and discussion of the literature to benefit the newcomer to the field.