Dynamical properties of the Pascal adic transformation
| dc.creator | Mela, Xavier | |
| dc.creator | Petersen, Karl | |
| dc.date | 2003-10-20 | |
| dc.date.accessioned | 2026-07-07T05:02:06Z | |
| dc.date.available | 2026-07-07T05:02:06Z | |
| dc.description | We study the dynamics of a transformation that acts on infinite paths in the graph associated with Pascal's triangle. For each ergodic invariant measure the asymptotic law of the return time to cylinders is given by a step function. We construct a representation of the system by a subshift on a two-symbol alphabet and then prove that the complexity function of this subshift is asymptotic to a cubic, the frequencies of occurrence of blocks behave in a regular manner, and the subshift is topologically weak mixing. | |
| dc.identifier | https://arxiv.org/abs/math/0310317 | |
| dc.identifier | http://arxiv.org/abs/math/0310317 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68926 | |
| dc.subject | Dynamical Systems | |
| dc.title | Dynamical properties of the Pascal adic transformation | |
| dc.type | text |