Etienne, Roland Jean: On the asymptotic distribution of the Dirichlet eigenvalues of fractal chainsÜber die asymptotische Verteilung der Dirichlet-Eigenwerte fraktaler Ketten. 2014
Inhalt
- Abstract
- Contents
- Overview
- 1 Introduction
- 2 Fractal Strings
- 3 Fractal chains
- 3.1 Monoatomic chains
- 3.2 Fractal chains
- 4 Interlude
- 5 Measure geometric fractal chains
- 5.1 Preliminaries
- 5.2 A physical interpretation
- 5.3 A physical model
- 5.4 Numerical spectral asymptotics for measure geometric chains
- 5.4.1 Example 1: The measure geometric Cantor chain
- 5.4.2 Example 2: A measure geometric chain with two different scaling ratios
- 5.5 The traces of powers of the dynamic matrix of measure geometric chains
- 6 Conclusion and Outlook
- Appendix A: A different approach for the traces of the measure geometric Cantor chain
- Appendix B: The moments of the triadic Cantor chain with and without cut-off: a comparison
- References
- List of Figures
- List of Tables