| dc.contributor.author | Poonen, Bjorn | |
| dc.date.accessioned | 2015-01-22T19:19:30Z | |
| dc.date.available | 2015-01-22T19:19:30Z | |
| dc.date.issued | 2014-03 | |
| dc.date.submitted | 2013-08 | |
| dc.identifier.issn | 0024-6093 | |
| dc.identifier.issn | 1469-2120 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/93150 | |
| dc.description.abstract | Extending work of Bell and of Bell, Ghioca, and Tucker, we prove that for a p-adic analytic self-map f on a closed unit polydisk, if every coefficient of f(x)−x has valuation greater than that of p [1over (p−1)], then the iterates of f can be p-adically interpolated; that is, there exists a function g(x,n) analytic in both x and n such that g(x,n)=f[superscript n](x) whenever n∈Z≥0. | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (DMS-1069236) | en_US |
| dc.language.iso | en_US | |
| dc.publisher | Oxford University Press | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1112/blms/bdu010 | en_US |
| dc.rights | Creative Commons Attribution-Noncommercial-Share Alike | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | en_US |
| dc.source | MIT web domain | en_US |
| dc.title | p-adic interpolation of iterates | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Poonen, B. “p-Adic Interpolation of Iterates.” Bulletin of the London Mathematical Society 46, no. 3 (June 1, 2014): 525–527. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.mitauthor | Poonen, Bjorn | en_US |
| dc.relation.journal | Bulletin of the London Mathematical Society | en_US |
| dc.eprint.version | Original manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/NonPeerReviewed | en_US |
| dspace.orderedauthors | Poonen, Bjorn | en_US |
| dc.identifier.orcid | https://orcid.org/0000-0002-8593-2792 | |
| mit.license | OPEN_ACCESS_POLICY | en_US |
| mit.metadata.status | Complete | |
