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140122 ||| eng |
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|a 9783034878913
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| 100 |
1 |
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|a Bandt, Christoph
|e [editor]
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| 245 |
0 |
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|a Fractal Geometry and Stochastics III
|h Elektronische Ressource
|c edited by Christoph Bandt, Umberto Mosco, Martina Zähle
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| 250 |
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|a 1st ed. 2004
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| 260 |
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|a Basel
|b Birkhäuser
|c 2004, 2004
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| 300 |
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|a X, 262 p
|b online resource
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| 505 |
0 |
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|a 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
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| 653 |
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|a Measure theory
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| 653 |
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|a Dynamical Systems
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| 653 |
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|a Calculus of Variations and Optimization
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| 653 |
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|a Probability Theory
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| 653 |
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|a Geometry
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| 653 |
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|a Mathematical physics
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| 653 |
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|a Measure and Integration
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| 653 |
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|a Mathematical optimization
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| 653 |
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|a Calculus of variations
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| 653 |
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|a Dynamical systems
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| 653 |
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|a Mathematical Methods in Physics
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| 653 |
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|a Probabilities
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| 700 |
1 |
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|a Mosco, Umberto
|e [editor]
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| 700 |
1 |
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|a Zähle, Martina
|e [editor]
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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| 490 |
0 |
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|a Progress in Probability
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| 028 |
5 |
0 |
|a 10.1007/978-3-0348-7891-3
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| 856 |
4 |
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|u https://doi.org/10.1007/978-3-0348-7891-3?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
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|a 516
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| 520 |
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|a 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
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