TARA: Dynamics of one-resonant biholomorphisms

Home

Submit

Alerts

Academic/Research Units
& Collections

Title

Author

By Date of Publication

Subject

Sponsors

TARA >
School of Mathematics >
Pure & Applied Mathematics >
Pure & Applied Mathematics (Scholarly Publications) >

Please use this identifier to cite or link to this item: http://hdl.handle.net/2262/64092

Title:	Dynamics of one-resonant biholomorphisms
Author:	ZAITSEV, DMITRI
Sponsor:	Science Foundation Ireland
Author's Homepage:	http://people.tcd.ie/zaitsevd
Keywords:	eigenvalues Complex Variables Dynamical Systems
Issue Date:	2011
Citation:	Filippo Bracci, Dmitri Zaitsev, Dynamics of one-resonant biholomorphisms, The Journal of the European Mathematical Society (JEMS), 2011, 1-21
Series/Report no.:	The Journal of the European Mathematical Society (JEMS);
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
Description:	IN_PRESS
URI:	http://hdl.handle.net/2262/64092
Related links:	http://arxiv.org/PS_cache/arxiv/pdf/0912/0912.0428v2.pdf
Appears in Collections:	Pure & Applied Mathematics (Scholarly Publications) Pure & Applied Mathematics (Scholarly Publications)

Files in This Item:

File	Description	Size	Format
dynamics.pdf	Published (author's copy) - Peer Reviewed	281.03 kB	Adobe PDF	View/Open

This item is protected by original copyright

View License

Please note: There is a known bug in some browsers that causes an error when a user tries to view large pdf file within the browser window. If you receive the message "The file is damaged and could not be repaired", please try one of the solutions linked below based on the browser you are using.