Fractal geometry, complex dimensions and zeta functions : geometry and spectra of fractal strings /

Detaylı Bibliyografya
Yazar: Lapidus, Michel L., 1956- (yazar)
Diğer Yazarlar: Frankenhuijsen, Machiel van, (yazar)
Materyal Türü: Kitap
Dil:English
Baskı/Yayın Bilgisi: New York : Springer, 2013.
Edisyon:2nd edition.
Seri Bilgileri:Springer monographs in mathematics
Konular:
İçindekiler:
  • Complex Dimensions of Ordinary Fractal Strings
  • Complex Dimensions of Self-Similar Fractal Strings
  • Complex Dimensions of Nonlattice Self-Similar Strings: Quasiperiodic Patterns and Diophantine Approximation
  • Generalized Fractal Strings Viewed as Measures
  • Explicit Formulas for Generalized Fractal Strings
  • The Geometry and the Spectrum of Fractal Strings
  • Periodic Orbits of Self-Similar Flows
  • Fractal Tube Formulas
  • Riemann Hypothesis and Inverse Spectral Problems
  • Generalized Cantor Strings and their Oscillations
  • Critical Zeros of Zeta Functions
  • Fractality and Complex Dimensions
  • New Results and Perspectives