Bratelli Diagrams Where Random Orders are Imperfect
| dc.contributor.author | Janssen, Jeannette | |
| dc.contributor.author | Quas, Anthony | |
| dc.contributor.author | Yassawi, Reem | |
| dc.date.accessioned | 2019-04-05T17:43:30Z | |
| dc.date.available | 2019-04-05T17:43:30Z | |
| dc.date.copyright | 2017 | en_US |
| dc.date.issued | 2017 | |
| dc.description.abstract | For the simple Bratteli diagrams B where there is a single edge connecting any two vertices in consecutive levels, we show that a random order has uncountably many infinite paths if and only if the growth rate of the leveln vertex sets is super-linear. This gives us the dichotomy: a random order on a slowly growing Bratteli diagram admits a homeomorphism, while a random order on a quickly growing Bratteli diagram does not. We also show that for a large family of infinite rank Bratteli diagrams B, a random order on B does not admit a continuous Vershik map. | en_US |
| dc.description.reviewstatus | Reviewed | en_US |
| dc.description.scholarlevel | Faculty | en_US |
| dc.description.sponsorship | The first two authors were partially supported by NSERC Discovery Grants. | en_US |
| dc.identifier.citation | Janssen, J.; Quas, A.; & Yassawi, R. (2017). Bratelli diagrams where random orders are imperfect. Proceedings of the American Mathematical Society, 145(2), 721-735. http://dx.doi.org/10.1090/proc/13284 | en_US |
| dc.identifier.uri | http://dx.doi.org/10.1090/proc/13284 | |
| dc.identifier.uri | http://hdl.handle.net/1828/10692 | |
| dc.language.iso | en | en_US |
| dc.publisher | Proceedings of the American Mathematical Society | en_US |
| dc.subject | Bratteli diagrams | en_US |
| dc.subject | Vershik maps | en_US |
| dc.title | Bratelli Diagrams Where Random Orders are Imperfect | en_US |
| dc.type | Postprint | en_US |