$L^2$-spectral invariants and quasi-crystal graphs

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/114200Introducing and studying the pattern frequency algebra, we prove the analogue of Lück's approximation theorems on $L^2$-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.Functional AnalysisMathematical Physics81Q10; 46L51$L^2$-spectral invariants and quasi-crystal graphstext