Rational maps are $d$-adic Bernoulli
| dc.creator | Heicklen, D. | |
| dc.creator | Hoffman, C. | |
| dc.date | 2004-11-22 | |
| dc.date.accessioned | 2026-07-07T05:14:35Z | |
| dc.date.available | 2026-07-07T05:14:35Z | |
| dc.description | Freire, Lopes and Mane proved that for any rational map f there exists a natural invariant measure μ_f [5]. Mane showed there exists an n>0 such that (f^n, μ_f) is measurably conjugate to the one-sided $d^n$-shift, with Bernoulli measure $(\frac 1{d^n},... ,\frac 1{d^n})$ \[15]. In this paper we show that (f,μ_f)is conjugate to the one-sided Bernoulli $d$-shift. This verifies a conjecture of Freire, Lopes and Mane [5] and Lyubich [11]. | |
| dc.description | 12 pages, published version | |
| dc.identifier | https://arxiv.org/abs/math/0411492 | |
| dc.identifier | http://arxiv.org/abs/math/0411492 | |
| dc.identifier | Ann. of Math. (2), Vol. 156 (2002), no. 1, 103--114 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73329 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37F10 (Primary) 28D05, 37A05, 37A35 (Secondary) | |
| dc.title | Rational maps are $d$-adic Bernoulli | |
| dc.type | text |