p-adic interpolation of iterates
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...
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
Oxford University Press
2015
|
| Online Access: | http://hdl.handle.net/1721.1/93150 https://orcid.org/0000-0002-8593-2792 |
| _version_ | 1826194358108422144 |
|---|---|
| author | Poonen, Bjorn |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Poonen, Bjorn |
| author_sort | Poonen, Bjorn |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T09:54:27Z |
| format | Article |
| id | mit-1721.1/93150 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T09:54:27Z |
| publishDate | 2015 |
| publisher | Oxford University Press |
| record_format | dspace |
| spelling | mit-1721.1/931502022-09-26T14:29:05Z p-adic interpolation of iterates Poonen, Bjorn Massachusetts Institute of Technology. Department of Mathematics Poonen, Bjorn 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. National Science Foundation (U.S.) (DMS-1069236) 2015-01-22T19:19:30Z 2015-01-22T19:19:30Z 2014-03 2013-08 Article http://purl.org/eprint/type/JournalArticle 0024-6093 1469-2120 http://hdl.handle.net/1721.1/93150 Poonen, B. “p-Adic Interpolation of Iterates.” Bulletin of the London Mathematical Society 46, no. 3 (June 1, 2014): 525–527. https://orcid.org/0000-0002-8593-2792 en_US http://dx.doi.org/10.1112/blms/bdu010 Bulletin of the London Mathematical Society Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Oxford University Press MIT web domain |
| spellingShingle | Poonen, Bjorn p-adic interpolation of iterates |
| title | p-adic interpolation of iterates |
| title_full | p-adic interpolation of iterates |
| title_fullStr | p-adic interpolation of iterates |
| title_full_unstemmed | p-adic interpolation of iterates |
| title_short | p-adic interpolation of iterates |
| title_sort | p adic interpolation of iterates |
| url | http://hdl.handle.net/1721.1/93150 https://orcid.org/0000-0002-8593-2792 |
| work_keys_str_mv | AT poonenbjorn padicinterpolationofiterates |