Products of non-stationary random matrices and Multiperiodic equations of several scaling factors
| dc.creator | Fan, Ai-Hua | |
| dc.creator | Saussol, Benoit | |
| dc.creator | Schmeling, Joerg | |
| dc.date | 2002-10-22 | |
| dc.date.accessioned | 2026-07-07T04:52:14Z | |
| dc.date.available | 2026-07-07T04:52:14Z | |
| dc.description | Let $β>1$ be a real number and $M: \mathbb{R}\to {\rm GL(\CC^d)}$ be a uniformly almost periodic matrix-valued function. We study the asymptotic behavior of the product $$ P_n(x) =M(β^{n-1}x)... M(βx) M(x). $$ Under some condition we prove a theorem of Furstenberg-Kesten type for such products of non-stationary random matrices. Theorems of Kingman and Oseledec type are also proved. The obtained results are applied to multiplicative functions defined by commensurable scaling factors. We get a positive answer to a Strichartz conjecture on the asymptotic behavior of such multiperiodic functions. The case where $β$ is a Pisot--Vijayaraghavan number is well studied. | |
| dc.identifier | https://arxiv.org/abs/math/0210347 | |
| dc.identifier | http://arxiv.org/abs/math/0210347 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65394 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 28A80; 42A38 | |
| dc.title | Products of non-stationary random matrices and Multiperiodic equations of several scaling factors | |
| dc.type | text |