Horizons of Fractal Geometry and Complex Dimensions
Published on 30. July 2019
Book
Paperback/Softback
304 pages
978-1-4704-3581-3 (ISBN)
Description
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).
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
564 gr
ISBN-13
978-1-4704-3581-3 (9781470435813)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
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.
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.
Content
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.
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.