Horizons of Fractal Geometry and Complex Dimensions
American Mathematical Society (Verlag)
978-1-4704-3581-3 (ISBN)
This volume contains the proceedings of the 2016 Summer School on Fractal Geometry and Complex Dimensions, in celebration of Michel L. Lapidus's 60th birthday, held from June 21-29, 2016, at California Polytechnic State University, San Luis Obispo, California. The theme of the contributions is fractals and dynamics and content is split into four parts, centered around the following themes: Dimension gaps and the mass transfer principle, fractal strings and complex dimensions, Laplacians on fractal domains and SDEs with fractal noise, and aperiodic order (Delone sets and tilings).
Robert G. Niemeyer, Metropolitan State University of Denver, CO. Erin P. J. Pearse, California Polytechnic State University, San Luis Obispo, CA. John A. Rock, California State Polytechnic University, Pomona, CA. Tony Samuel, University of Birmingham, Edgbaston, Birmingham, United Kingdom, and California Polytechnic State University, San Luis Obispo, CA.
D. Allen and S. Troscheit, The mass transference principle: Ten years on
M. Baake and A. Haynes, A measure-theoretic result for approximation by Delone sets
M. F. Barnsley and A. Vince, Self-similar tilings of fractal blow-ups
T. Eichinger and S. Winter, Regularly varying functions, generalized contents, and the spectrum of fractal strings
K. Falk, Dimensions of limit sets of Kleinian groups
M. van Frankenhuijsen, The spectral operator and resonances
M. Kessebohmer, T. Samuel, and H. Weyer, Measure-geometric Laplacians for discrete distributions
M. L. Lapidus, An overview of complex fractal dimensions: From fractal strings to fractal drums, and back
P. Pollack and C. Pomerance, Eigenvalues of the Laplacian on domains with fractal boundary
M. Zahle and E. Schneider, Forward integrals and SDE with the fractal noise.
| Erscheinungsdatum | 01.08.2019 |
|---|---|
| Reihe/Serie | Contemporary Mathematics |
| Verlagsort | Providence |
| Sprache | englisch |
| Maße | 178 x 254 mm |
| Gewicht | 564 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| ISBN-10 | 1-4704-3581-0 / 1470435810 |
| ISBN-13 | 978-1-4704-3581-3 / 9781470435813 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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