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Author Summer School on Fractal Geometry and Complex Dimensions (2016 : San Luis Obispo, Calif.)

Title Horizons of fractal geometry and complex dimensions : 2016 Summer School on Fractal Geometry and Complex Dimensions, in celebration of the 60th birthday of Michel Lapidus, June 21-29, 2016, California Polytechnic State University, San Luis Obispo, California / Robert G. Niemeyer [and three others], editors
Published [Providence, Rhode Island] : American Mathematical Society, [2019]
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Description 1 online resource (xiv, 302 pages) : illustrations
Series Contemporary mathematics ; 731
Contemporary mathematics (American Mathematical Society) ; v. 731
Contents Preface : horizons of fractal geometry and complex dimensions / R.G. Niemeyer, E.P.J. Pearse, J.A. Rock, and T. Samuel -- The mass transference principle : ten years on / D. Allen and S. Troscheit -- A measure-theoretic result for approximation by delone sets / M. Baake and A. Haynes -- Self-similar tilings of fractal blow-ups / M. F. Barnsley and A. Vince -- Regularly varying functions, generalized contents, and the spectrum of fractal strings / T. Eichinger and S. Winter -- Dimensions of limit sets of kleinian groups / K. Falk -- The spectral operator and resonances / M. van Frankenhuijsen -- Measure-geometric laplacians for discrete distributions / M. Keebohmer, T. Samuel, and H. Weyer -- An overview of complex fractal dimensions: from fractal strings to fractal drums, and back / M.L. Lapidus -- Eigenvalues of the laplacian on domains with fractal boundary / P. Pollack and C. Pomerance -- Forward integrals and sde with fractal noise / M. Zahle and E. Schneider
Summary 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)
Bibliography Includes bibliographical references
Notes Print version record
Subject Fractals -- Congresses.
Convex and discrete geometry -- Discrete geometry -- Quasicrystals, aperiodic tilings.
Convex and discrete geometry -- General convexity -- Mixed volumes and related topics.
Dynamical systems and ergodic theory -- Topological dynamics -- Symbolic dynamics.
Fractals.
Functions of a complex variable -- Entire and meromorphic functions, and related topics -- Representations of entire functions by series and integrals.
Measure and integration -- Measure-theoretic ergodic theory -- Measure-preserving transformations.
Number theory -- Zeta and $L$-functions: analytic theory -- Nonreal zeros of $ -- eta (s)$ and $L(s, \chi)$; Riemann and other hypotheses.
Partial differential equations -- Spectral theory and eigenvalue problems -- Asymptotic distribution of eigenvalues and eigenfunctions.
Potential theory -- Two-dimensional theory -- Integral representations, integral operators, integral equations methods.
Probability theory and stochastic processes -- Stochastic processes -- Sums of independent random variables; random walks.
Real functions -- Functions of one variable -- Singular functions, Cantor functions, functions with other special properties.
Genre/Form Conference papers and proceedings.
Conference papers and proceedings.
Form Electronic book
Author Lapidus, Michel L. (Michel Laurent), 1956- honoree.
Niemeyer, Robert G., 1983- editor.
ISBN 1470453150
9781470453152