Fractal Geometry, Complex Dimensions and Zeta Functions

DOI10.1007/978-1-4614-2176-4zbMath1261.28011OpenAlexW4238350589MaRDI QIDQ2914107

Michel L. Lapidus, Machiel van Frankenhuijsen

Publication date: 25 September 2012

Published in: Springer Monographs in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-2176-4

zbMATH Keywords

self-similarityNevanlinna theoryzeta functionfractalsRiemann Hypothesisfractal stringscomplex dimensiongeneralized fractal strings

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Other Dirichlet series and zeta functions (11M41) Length, area, volume, other geometric measure theory (28A75) Continued fractions and generalizations (11J70) Fractals (28A80) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Dimension theory of smooth dynamical systems (37C45) Research exposition (monographs, survey articles) pertaining to measure and integration (28-02)

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