Fractal geometry, complex dimensions and zeta functions : geometry and spectra of fractal strings
Michel L Lapidus, Machiel van Frankenhuijsen
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
Catégories:
Année:
2013
Edition:
2ed.
Editeur::
Springer
Langue:
english
Pages:
582
ISBN 10:
1461421764
ISBN 13:
9781461421764
Collection:
Springer monographs in mathematics
Fichier:
PDF, 3.18 MB
IPFS:
,
english, 2013