On the expected number of real roots of polynomials and exponential sums
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918064540352512 |
|---|---|
| author | Malajovich, Gregorio |
| author_facet | Malajovich, Gregorio |
| contents | The expected number of real projective roots of orthogonally invariant random homogeneous real polynomial systems is known to be equal to the square root of the Bézout number. A similar result is known for random multi-homogeneous systems, invariant through a product of orthogonal groups. In this note, those results are generalized to certain families of sparse polynomial systems, with no orthogonal invariance assumed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_06081 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On the expected number of real roots of polynomials and exponential sums Malajovich, Gregorio Metric Geometry 52A39 The expected number of real projective roots of orthogonally invariant random homogeneous real polynomial systems is known to be equal to the square root of the Bézout number. A similar result is known for random multi-homogeneous systems, invariant through a product of orthogonal groups. In this note, those results are generalized to certain families of sparse polynomial systems, with no orthogonal invariance assumed. |
| title | On the expected number of real roots of polynomials and exponential sums |
| topic | Metric Geometry 52A39 |
| url | https://arxiv.org/abs/2204.06081 |