arXiv Open Access 2006

Singular Continuous and Dense Point Spectrum for Sparse Trees with Finite Dimensions

Jonathan Breuer

Lihat Sumber

Abstrak

Sparse trees are trees with sparse branchings. The Laplacian on some of these trees can be shown to have singular spectral measures. We focus on a simple family of sparse trees for which the dimensions can be naturally defined and shown to be finite. Generically, this family has singular spectral measures and eigenvalues that are dense in some interval.

Topik & Kata Kunci

math.SP math-ph

Penulis (1)

Jonathan Breuer

Format Sitasi

APA MLA BibTeX

Breuer, J. (2006). Singular Continuous and Dense Point Spectrum for Sparse Trees with Finite Dimensions. https://arxiv.org/abs/math/0608159

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2006
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓