Title | Fractal Geometry and Stochastics III [electronic resource] / edited by Christoph Bandt, Umberto Mosco, Martina Zรคhle |
---|---|
Imprint | Basel : Birkhรคuser Basel : Imprint: Birkhรคuser, 2004 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-7891-3 |
Descript | X, 262 p. online resource |
1. Fractal Sets and Measures -- Markov Operators and Semifractals -- On Various Multifractal Spectra -- One-Dimensional Moran Sets and the Spectrum of Schrรถdinger Operators -- 2. Fractals and Dynamical Systems -- Small-scale Structure via Flows -- Hausdorff Dimension of Hyperbolic Attractors in $$ {\mathbb{R}̂3}$$ -- 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 Lรฉvy 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 Fractals