On the expected number of real roots of polynomials and exponential sums
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 B\'ezout number. A similar result is known for random multi-homogeneous systems, invariant through a product of orthogonal groups. In...
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext bestellen |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
Zusammenfassung: | 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 B\'ezout 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. |
---|---|
DOI: | 10.48550/arxiv.2204.06081 |