A Class of pairwise-independent Joinings
| dc.creator | Janvresse, Elise | |
| dc.creator | De La Rue, Thierry | |
| dc.date | 2007-04-25 | |
| dc.date | 2007-05-04 | |
| dc.date.accessioned | 2026-07-07T10:05:32Z | |
| dc.date.available | 2026-07-07T10:05:32Z | |
| dc.description | We introduce a special class of pairwise-independent self-joinings for a stationary process: Those for which one coordinate is a continuous function of the two others. We investigate which properties on the process the existence of such a joining entails. In particular, we prove that if the process is aperiodic, then it has positive entropy. Our other results suggest that such pairwise independent, non-independent self-joinings exist only in very specific situations: Essentially when the process is a subshift of finite type topologically conjugate to a full-shift. This provides an argument in favor of the conjecture that 2-fold mixing implies 3-fold-mixing. | |
| dc.description | Dedicated to the memory of Professor José de Sam Lazaro | |
| dc.identifier | https://arxiv.org/abs/0704.3358 | |
| dc.identifier | http://arxiv.org/abs/0704.3358 | |
| dc.identifier | Ergodic Theory and Dynamical Systems 28, 5 (2008) 1545-1557 | |
| dc.identifier | doi:10.1017/S0143385707000958 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/170035 | |
| dc.subject | Probability | |
| dc.subject | 37A35, 37B10 | |
| dc.title | A Class of pairwise-independent Joinings | |
| dc.type | text |