arXiv Open Access 2009

Probabilistic averages of Jacobi operators

Helge Krueger

Lihat Sumber

Abstrak

I study the Lyapunov exponent and the integrated density of states for general Jacobi operators. The main result is that questions about these, can be reduced to questions about ergodic Jacobi operators. Then, I apply this to $a(n) = 1$ and $b(n) = f(n^ρ\pmod{1})$ for $ρ> 0$ not an integer, and to obtain a probabilistic version of the Denisov--Rakhmanov--Remling Theorem.

Topik & Kata Kunci

math.SP math.DS

Penulis (1)

Helge Krueger

Format Sitasi

APA MLA BibTeX

Krueger, H. (2009). Probabilistic averages of Jacobi operators. https://arxiv.org/abs/0904.4226

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2009
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓