Monotonicity and a Taylor approximation theorem for transseries
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866911665942953984 |
|---|---|
| author | Mantova, Vincenzo |
| author_facet | Mantova, Vincenzo |
| contents | We show that the composition of omega-series by surreal numbers, or more generally by elements of any confluent field of transseries, is monotonic in its second argument. In particular, omega-series and LE-series interpreted as functions have the intermediate value property. We also deduce a Taylor approximation theorem for omega-series with maximal radius of validity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_07747 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Monotonicity and a Taylor approximation theorem for transseries Mantova, Vincenzo Logic Dynamical Systems We show that the composition of omega-series by surreal numbers, or more generally by elements of any confluent field of transseries, is monotonic in its second argument. In particular, omega-series and LE-series interpreted as functions have the intermediate value property. We also deduce a Taylor approximation theorem for omega-series with maximal radius of validity. |
| title | Monotonicity and a Taylor approximation theorem for transseries |
| topic | Logic Dynamical Systems |
| url | https://arxiv.org/abs/2601.07747 |