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Horizons of Fractal Geometry and Complex Dimensions
About this Title
Robert G. Niemeyer, Metropolitan State University of Denver, Denver, CO, Erin P. J. Pearse, California Polytechnic State University, San Luis Obispo, CA, John A. Rock, California State Polytechnic University, Pomona, CA and Tony Samuel, California Polytechnic State University, San Luis Obispo, CA, Editors
Publication: Contemporary Mathematics
Publication Year:
2019; Volume 731
ISBNs: 978-1-4704-3581-3 (print); 978-1-4704-5315-2 (online)
DOI: https://doi.org/10.1090/conm/731
ReadershipTable of Contents
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Front/Back Matter
Articles
- Demi Allen and Sascha Troscheit – The Mass Transference Principle: Ten years on
- Michael Baake and Alan Haynes – A measure-theoretic result for approximation by Delone sets
- M. F. Barnsley and A. Vince – Self-similar tilings of fractal blow-ups
- Tobias Eichinger and Steffen Winter – Regularly varying functions, generalized contents, and the spectrum of fractal strings
- Kurt Falk – Dimensions of limit sets of Kleinian groups
- Machiel van Frankenhuijsen – The spectral operator and resonances
- M. Kesseböhmer, T. Samuel and H. Weyer – Measure-geometric Laplacians for discrete distributions
- Michel L. Lapidus – An overview of complex fractal dimensions: from fractal strings to fractal drums, and back
- Paul Pollack and Carl Pomerance – Eigenvalues of the Laplacian on domains with fractal boundary
- Martina Zähle and Erik Schneider – Forward integrals and SDE with fractal noise