This book contains the proceedings of the conference "Fractals in Graz 2001 - Analysis, Dynamics, Geometry, Stochastics" that was held in June 2001 at Graz University of Technology, Styria, Austria. The volume presents a multitude of different directions of active current research linked with the modern theory of fractal structures. All papers were written upon invitation by the editors. The book is addressed to mathematicians and scientists who are interested in any of the following topics: - fractal dimensions - fractal energies - fractal groups - stochastic processes on fractals - self-similarity - spectra of random walks - tilings - analysis on fractals - dynamical systems. The readers will be introduced to the most recent results and problems on these subjects. Both researchers and graduate students will benefit from the clear expositions.
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First Sentence:
The pentagasket (see Figure 1.1) is one of the simplest examples of a nested fractal [Li] for which the method of spectral decimation [Sh2] does not hold. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
tail equivalence relation, fractal groups, act iou, hyperbolic boundary, vert ices, geodesic rays, simple random walk, act ion, harmonic measure, heat kernel, many successors, sect ion, graph distance Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Academic Press, London Math, Potential Anal, Verlag Basel, Arek Goetz, Fourier Anal, Front Fractal Groups, Cambridge Philos, Cambridge University Press, Indiana Univ, Springer Verlag New!
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Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
The pentagasket (see Figure 1.1) is one of the simplest examples of a nested fractal [Li] for which the method of spectral decimation [Sh2] does not hold. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
tail equivalence relation, fractal groups, act iou, hyperbolic boundary, vert ices, geodesic rays, simple random walk, act ion, harmonic measure, heat kernel, many successors, sect ion, graph distance Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Academic Press, London Math, Potential Anal, Verlag Basel, Arek Goetz, Fourier Anal, Front Fractal Groups, Cambridge Philos, Cambridge University Press, Indiana Univ, Springer Verlag New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Citations (learn more)
This book cites 6
books:
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- Statistics and Probability: Proceedings of the 3rd Pannonian Symposium on Mathematical Statistics, Visegrád, Hungary, 13-18 September 1982 by J. Mogyoródi in Back Matter
- Ergodic Theory (Cambridge Studies in Advanced Mathematics) by Karl E. Petersen on page 182
- Techniques in Fractal Geometry by Kenneth Falconer on page 261
- Fractals in Biology and Medicine: Volume IV (Mathematics and Biosciences in Interaction) by Gabriele A. Losa in Back Matter
- San Francisco (Windsor Destination Guides) by Wolfgang Fuchs in Back Matter
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