Computation of Topological Entropy via $ϕ$-expansion, an Inverse Problem for the Dynamical Systems $βx+α\mod 1$
| dc.creator | Faller, Bastien | |
| dc.creator | Pfister, Charles-Edouard | |
| dc.date | 2008-06-05 | |
| dc.date.accessioned | 2026-07-07T09:42:49Z | |
| dc.date.available | 2026-07-07T09:42:49Z | |
| dc.description | We give an algorithm, based on the $ϕ$-expansion of Parry, in order to compute the topological entropy of a class of shift spaces. The idea is the solve an inverse problem for the dynamical systems $βx+α\mod1$.The first part is an exposition of the $ϕ$-expansion applied to piecewise monotone dynamical systems. We formulate for the validity of the $ϕ$-expansion, necessary and sufficient conditions, which are different from those in Parry's paper. | |
| dc.description | 34 pages | |
| dc.identifier | https://arxiv.org/abs/0806.0914 | |
| dc.identifier | http://arxiv.org/abs/0806.0914 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/162326 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37E05, 37B10, 11B34, 37B40 | |
| dc.title | Computation of Topological Entropy via $ϕ$-expansion, an Inverse Problem for the Dynamical Systems $βx+α\mod 1$ | |
| dc.type | text |