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Field name	Details
Dewey Class	519.2
Title	Fractal Geometry and Stochastics II ([EBook]) / edited by Christoph Bandt, Siegfried Graf, Martina Zähle.
Added Personal Name	Bandt, Christoph
	Graf, Siegfried. , 1949- editor.
	Zähle, Martina
Other name(s)	SpringerLink (Online service)
Publication	Basel : Birkhäuser , 2000.
Physical Details	X, 292 pages : online resource.
Series	Progress in probability ; 46
ISBN	9783034883801
Summary Note	The second conference on Fractal Geometry and Stochastics was held at Greifs wald/Koserow, Germany from August 28 to September 2, 1998. Four years had passed after the first conference with this theme and during this period the interest in the subject had rapidly increased. More than one hundred mathematicians from twenty-two countries attended the second conference and most of them presented their newest results. Since it is impossible to collect all these contributions in a book of moderate size we decided to ask the 13 main speakers to write an account of their subject of interest. The corresponding articles are gathered in this volume. Many of them combine a sketch of the historical development with a thorough discussion of the most recent results of the fields considered. We believe that these surveys are of benefit to the readers who want to be introduced to the subject as well as to the specialists. We also think that this book reflects the main directions of research in this thriving area of mathematics. We express our gratitude to the Deutsche Forschungsgemeinschaft whose financial support enabled us to organize the conference. The Editors Introduction Fractal geometry deals with geometric objects that show a high degree of irregu larity on all levels of magnitude and, therefore, cannot be investigated by methods of classical geometry but, nevertheless, are interesting models for phenomena in physics, chemistry, biology, astronomy and other sciences.:
Contents note	1. Fractal Sets and Measures -- Multifractal Geometry -- Sixty Years of Bernoulli Convolutions -- 2. Iterated Function Systems -- Problems on Self-similar Geometry -- Problems on Self-similar Sets and Self-afHne Sets: An Update -- 3. Stochastic Processes, Random Fractals -- Selfsimilar Fractals and Selfsimilar Random Fractals -- Random Coverings and Multiplicative Processes -- Recent Results on Mandelbrot Multiplicative Cascades -- The Weierstrass-Mandelbrot Process Provides a Series Approximation to the Harmonizable Fractional Stable Motion -- 4. Fractals and Dynamical Systems -- An Ergodic Theoretic Approach to Mean Field Coupled Maps -- Entropy and Dimension Families Associated with Equilibrium Measures for Hyperbolic Dynamical Systems -- 5. Harmonic Analysis on Fractals -- On Limit Theorems for Brownian Motions on Unbounded Fractal Sets -- Heat Kernels and Spectral Asymptotics for some Random Sierpinski Gaskets -- Lagrangian Metrics and Fractal Dynamics -- List of Participants.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-0348-8380-1
Links to Related Works	Subject References: Mathematical Methods in Physics . Mathematics . Physics . Probabilities . Probability theory and stochastic processes . Authors: Bandt, Christoph . editor . Graf, Siegfried 1949- . Zähle, Martina . Corporate Authors: SpringerLink (Online service) . Series: Progress in probability . Classification: 519.2 . 519.2 (DDC 22) .

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Fractal Geometry and Stochastics II

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