Fractal geometry and stochastics III
著者
書誌事項
Fractal geometry and stochastics III
（Progress in probability / series editors, Thomas Liggett, Charles Newman, Loren Pitt, v. 57）
Birkhaeuser Verlag, c2004
- : hard
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注記
Includes bibliographical references
"The conference on Fractal Geometry and Stochastics which took place at Friedrichroda, Germany, from March 17 to 22, 2003, was the third in a series." - pref.
内容説明・目次
内容説明
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目次
- 1. Fractal Sets and Measures.- Markov Operators and Semifractals.- On Various Multifractal Spectra.- One-Dimensional Moran Sets and the Spectrum of Schroedinger 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 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 Fractals.
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