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 /

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: Summer School on Fractal Geometry and Complex Dimensions San Luis Obispo, Calif.
Otros Autores: Niemeyer, Robert G., 1983- (Editor )
Formato: Electrónico Congresos, conferencias eBook
Idioma:Inglés
Publicado: [Providence, Rhode Island] : American Mathematical Society, [2019]
Colección:Contemporary mathematics (American Mathematical Society) ; v. 731.
Temas:
Fractals > Congresses.
Fractales > Congrès.
Fractales
Teoría de números
Funciones realies
Fractals
Number theory > Zeta and $L$-functions: analytic theory > Nonreal zeros of $ > eta (s)$ and $L(s, \chi)$; Riemann and other hypotheses.
Real functions > Functions of one variable > Singular functions, Cantor functions, functions with other special properties.
Measure and integration > Measure-theoretic ergodic theory > Measure-preserving transformations.
Functions of a complex variable > Entire and meromorphic functions, and related topics > Representations of entire functions by series and integrals.
Potential theory > Two-dimensional theory > Integral representations, integral operators, integral equations methods.
Partial differential equations > Spectral theory and eigenvalue problems > Asymptotic distribution of eigenvalues and eigenfunctions.
Dynamical systems and ergodic theory > Topological dynamics > Symbolic dynamics.
Convex and discrete geometry > General convexity > Mixed volumes and related topics.
Convex and discrete geometry > Discrete geometry > Quasicrystals, aperiodic tilings.
Probability theory and stochastic processes > Stochastic processes > Sums of independent random variables; random walks.
proceedings (reports)
Conference papers and proceedings
Conference papers and proceedings.
Actes de congrès.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.

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