Amenability and superharmonic functions
| dc.contributor.author | Northshield, Sam | |
| dc.date.accessioned | 2018-04-09T18:44:52Z | |
| dc.date.accessioned | 2020-06-22T14:35:31Z | |
| dc.date.available | 2018-04-09T18:44:52Z | |
| dc.date.available | 2020-06-22T14:35:31Z | |
| dc.date.issued | 1993 | |
| dc.identifier.citation | Northshield, S. (1993). Amenability and superharmonic functions. Proceedings of the American Mathematical Society, 119(2). http://doi.org/10.1090/S0002-9939-1993-1164149-7 | en_US |
| dc.identifier.uri | http://hdl.handle.net/20.500.12648/1125 | |
| dc.description | This article has been published in the October 1993 issue of Proceedings of the American Mathematical Society. | en_US |
| dc.description.abstract | Let G be a countable group and u a symmetric and aperiodic probability measure on G . We show that G is amenable if and only if every positive superharmonic function is nearly constant on certain arbitrarily large subsets of G. We use this to show that if G is amenable, then the Martin boundary of G contains a fixed point. More generally, we show that G is amenable if and only if each member of a certain family of G-spaces contains a fixed point. | en_US |
| dc.language | en_US | en_US |
| dc.language.iso | en_US | en_US |
| dc.publisher | Proceedings of the American Mathematical Society | en_US |
| dc.subject | Amenable group | en_US |
| dc.subject | superharmonic function | en_US |
| dc.subject | Martin boundary | en_US |
| dc.subject | random walk | en_US |
| dc.title | Amenability and superharmonic functions | en_US |
| dc.type | Article | en_US |
| refterms.dateFOA | 2020-06-22T14:35:31Z | |
| dc.description.institution | SUNY Plattsburgh |
