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Fractal Geometry and Applications: A Jubilee of Benoît Mandelbrot, Part 2: Multifractals, Probability and Statistical Mechanics, Applications
About this Title
Michel L. Lapidus, University of California, Riverside, CA and Machiel van Frankenhuijsen, Utah Valley State College, Orem, UT, Editors
Publication: Proceedings of Symposia in Pure Mathematics
Publication Year:
2004; Volume 72.2
ISBNs: 978-0-8218-3638-5 (print); 978-0-8218-9378-4 (online)
DOI: https://doi.org/10.1090/pspum/072.2
ReadershipTable of Contents
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Front/Back Matter
Multifractals
- Julien Barral and Benoît B. Mandelbrot – Introduction to infinite products of independent random functions (Random multiplicative multifractal measures. I) [MR 2112119]
- Julien Barral and Benoît B. Mandelbrot – Non-degeneracy, moments, dimension, and multifractal analysis for random multiplicative measures (Random multiplicative multifractal measures. II) [MR 2112120]
- Julien Barral – Techniques for the study of infinite products of independent random functions (Random multiplicative multifractal measures. III) [MR 2112121]
- Stéphane Jaffard – Wavelet techniques in multifractal analysis [MR 2112122]
- Jacques Lévy Véhel and Stéphane Seuret – The 2-microlocal formalism [MR 2112123]
- Jacques Peyrière – A vectorial multifractal formalism [MR 2112124]
Probability and statistical mechanics
- Ben M. Hambly and Takashi Kumagai – Heat kernel estimates for symmetric random walks on a class of fractal graphs and stability under rough isometries [MR 2112125]
- Yimin Xiao – Random fractals and Markov processes [MR 2112126]
- Gregory F. Lawler, Oded Schramm and Wendelin Werner – On the scaling limit of planar self-avoiding walk [MR 2112127]
- Bertrand Duplantier – Conformal fractal geometry & boundary quantum gravity [MR 2112128]
Applications
- Agnès Desolneux, Bernard Sapoval and Andrea Baldassarri – Self-organized percolation power laws with and without fractal geometry in the etching of random solids [MR 2112129]
- Marc-Olivier Coppens – Nature inspired chemical engineering learning from the fractal geometry of nature in sustainable chemical engineering [MR 2112130]
- F. Kenton Musgrave – Fractal forgeries of nature [MR 2112131]