$L^2$-spectral invariants and quasi-crystal graphs
Functional Analysis
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
Introducing and studying the pattern frequency algebra, we prove the analogue of L\"uck's approximation theorems on -spectral invariants in the case of aperiodic order. These results imply a uniform convergence theorem for the integrated density of states as well as the positivity of the logarithmic determinant of certain discrete Schrodinger operators.
Keywords
Cite
@article{arxiv.math/0607198,
title = {$L^2$-spectral invariants and quasi-crystal graphs},
author = {Gábor Elek},
journal= {arXiv preprint arXiv:math/0607198},
year = {2007}
}