Asymptotically exact spectral estimates for left triangular matrices

Simple item page
dc.creatorBlank, Michael
dc.date2000-09-08
dc.date.accessioned2026-07-07T05:33:01Z
dc.date.available2026-07-07T05:33:01Z
dc.descriptionFor a family of $n*n$ left triangular matrices with binary entries we derive asymptotically exact (as $n\to\infty$) representation for the complete eigenvalues-eigenvectors problem. In particular we show that the dependence of all eigenvalues on $n$ is asymptotically linear for large $n$. A similar result is obtained for more general (with specially scaled entries) left triangular matrices as well. As an application we study ergodic properties of a family of chaotic maps.
dc.description7 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/nlin/0009020
dc.identifierhttp://arxiv.org/abs/nlin/0009020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79861
dc.subjectChaotic Dynamics
dc.titleAsymptotically exact spectral estimates for left triangular matrices
dc.typetext

Files

Collections

arXiv