arXiv Open Access 2010

Uniform approximation of the integrated density of states for long-range percolation Hamiltonians

Fabian Schwarzenberger

Lihat Sumber

Abstrak

In this paper we study the spectrum of long-range percolation graphs. The underlying geometry is given in terms of a finitely generated amenable group. We prove that the integrated density of states (IDS) or spectral distribution function can be approximated uniformly in the energy variable. Using this, we are able to characterise the set of discontinuities of the IDS.

Topik & Kata Kunci

math.SP math-ph

Penulis (1)

Fabian Schwarzenberger

Format Sitasi

APA MLA BibTeX

Schwarzenberger, F. (2010). Uniform approximation of the integrated density of states for long-range percolation Hamiltonians. https://arxiv.org/abs/1011.4192

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2010
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓