| dc.contributor.author | ZAITSEV, DMITRI | en |
| dc.date.accessioned | 2012-06-29T09:18:31Z | |
| dc.date.available | 2012-06-29T09:18:31Z | |
| dc.date.issued | 2013 | en |
| dc.date.submitted | 2013 | en |
| dc.identifier.citation | Filippo Bracci, Dmitri Zaitsev, Dynamics of one-resonant biholomorphisms, The Journal of the European Mathematical Society (JEMS), 15, 1, 2013, 179-20 | en |
| dc.identifier.other | Y | en |
| dc.identifier.uri | http://hdl.handle.net/2262/64092 | |
| dc.description | PUBLISHED | en |
| dc.description.abstract | Our first main result is a construction of a simple formal normal form for holomorphic diffeomorphisms in Cn whose differentials have one-dimensional family of resonances in the first m eigenvalues, m ? n (but more resonances are allowed for other eigenvalues). Next, we provide invariants and give conditions for the existence of basins of attraction. Finally, we give applications and examples demonstrating the sharpness of our conditions | en |
| dc.description.sponsorship | Supported in part by the Science Foundation Ireland grant 06/RFP/MAT018. | en |
| dc.format.extent | 179-20 | en |
| dc.language.iso | en | en |
| dc.relation.ispartofseries | The Journal of the European Mathematical Society (JEMS) | en |
| dc.relation.ispartofseries | 15 | en |
| dc.relation.ispartofseries | 1 | en |
| dc.rights | Y | en |
| dc.subject | eigenvalues | en |
| dc.subject | Complex Variables | en |
| dc.subject | Dynamical Systems | en |
| dc.title | Dynamics of one-resonant biholomorphisms | en |
| dc.type | Journal Article | en |
| dc.type.supercollection | scholarly_publications | en |
| dc.type.supercollection | refereed_publications | en |
| dc.identifier.peoplefinderurl | http://people.tcd.ie/zaitsevd | en |
| dc.identifier.rssinternalid | 74038 | en |
| dc.identifier.doi | http://dx.doi.org/10.4171/JEMS/359 | en |
| dc.identifier.rssuri | http://arxiv.org/PS_cache/arxiv/pdf/0912/0912.0428v2.pdf | en |
| dc.contributor.sponsor | Science Foundation Ireland (SFI) | en |
| dc.contributor.sponsorGrantNumber | 06/RFP/MAT018. | en |
