On the mixing coefficients of piecewise monotonic maps
| dc.creator | Aaronson, Jon | |
| dc.creator | Nakada, Hitoshi | |
| dc.date | 2004-08-16 | |
| dc.date | 2006-11-09 | |
| dc.date.accessioned | 2026-07-07T06:38:44Z | |
| dc.date.available | 2026-07-07T06:38:44Z | |
| dc.description | We investigate the mixing coefficients of interval maps satisfying Rychlik's conditions. A mixing Lasota-Yorke map is reverse $ϕ$-mixing. If its invariant density is uniformly bounded away from 0, it is $ϕ$-mixing iff all images of all orders are big in which case it is $ψ$-mixing. Among $\b$-transformations, non-$ϕ$-mixing is generic. In this sense, the asymmetry of $ϕ$-mixing is natural. | |
| dc.description | correction of misprint in the definition of weak mixing | |
| dc.identifier | https://arxiv.org/abs/math/0408205 | |
| dc.identifier | http://arxiv.org/abs/math/0408205 | |
| dc.identifier | as in: Probability in mathematics. Israel J. Math. 148 (2005), 1--10 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100839 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Probability | |
| dc.subject | 37A25, 37E05 (37D20, 37C30, 37C40, 60G10) | |
| dc.title | On the mixing coefficients of piecewise monotonic maps | |
| dc.type | text |