Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.05382 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918278851461120 |
|---|---|
| author | Cresson, Jacky Palafox, Jordy |
| author_facet | Cresson, Jacky Palafox, Jordy |
| contents | We give a self contained presentation of the notion of variance of a vector field introduced by Jean Ecalle and Bruno Vallet in \cite{ev} following a previous work of Jean Ecalle and Dana Schlomiuk in \cite{es}. We give complete proofs and definitions of various results stated in these articles. Following J. Ecalle and D. Schlomiuk, We illustrate the interest of the variance by giving a complete proof of the formulas for the mould defining the nilpotent part of a resonant vector field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_05382 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Variance of vector fields -- Definition and properties Cresson, Jacky Palafox, Jordy Dynamical Systems We give a self contained presentation of the notion of variance of a vector field introduced by Jean Ecalle and Bruno Vallet in \cite{ev} following a previous work of Jean Ecalle and Dana Schlomiuk in \cite{es}. We give complete proofs and definitions of various results stated in these articles. Following J. Ecalle and D. Schlomiuk, We illustrate the interest of the variance by giving a complete proof of the formulas for the mould defining the nilpotent part of a resonant vector field. |
| title | Variance of vector fields -- Definition and properties |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2601.05382 |