Horizons of Fractal Geometry and Complex Dimensions

Häftad, Engelska, 2019

Av Robert G. Niemeyer, Erin P.J. Pearse, John A. Rock, Tony Samuel

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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).

Produktinformation

Utgivningsdatum2019-07-30
Mått178 x 254 x undefined mm
Vikt564 g
FormatHäftad
SpråkEngelska
SerieContemporary Mathematics
Antal sidor304
FörlagAmerican Mathematical Society
ISBN9781470435813

Tillhör följande kategorier

D. Allen and S. Troscheit, The mass transference principle: Ten years onM. Baake and A. Haynes, A measure-theoretic result for approximation by Delone setsM. F. Barnsley and A. Vince, Self-similar tilings of fractal blow-upsT. Eichinger and S. Winter, Regularly varying functions, generalized contents, and the spectrum of fractal stringsK. Falk, Dimensions of limit sets of Kleinian groupsM. van Frankenhuijsen, The spectral operator and resonancesM. Kessebohmer, T. Samuel, and H. Weyer, Measure-geometric Laplacians for discrete distributionsM. L. Lapidus, An overview of complex fractal dimensions: From fractal strings to fractal drums, and backP. Pollack and C. Pomerance, Eigenvalues of the Laplacian on domains with fractal boundaryM. Zahle and E. Schneider, Forward integrals and SDE with the fractal noise.