Fractal Geometry and Stochastics III

ISBN 10: 376437070X / ISBN 13: 9783764370701

Editore: Springer, 2004

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pp. x + 262.

Codice articolo 26354853

Dati bibliografici

• Titolo: Fractal Geometry and Stochastics III
• Editore: Springer
• Data di pubblicazione: 2004
• Lingua: Inglese
• ISBN 10: 376437070X
• ISBN 13: 9783764370701
• Rilegatura: Rilegato
• Condizione: New

Descrizione articolo

Riassunto

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Contenuti

1. Fractal Sets and Measures.- Markov Operators and Semifractals.- On Various Multifractal Spectra.- One-Dimensional Moran Sets and the Spectrum of Schrödinger 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 Lévy 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.