The expected number of real roots of a multihomogeneous system of polynomial equations

American Journal of Mathematics

Volumn 124, Issue 1, 2002, Pages 49-73

  McLennan, Andrew ^a  

^a UNIVERSITY OF MINNESOTA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036324756     PISSN: 00029327     EISSN: None     Source Type: Journal    
DOI: 10.1353/ajm.2002.0005     Document Type: Article

References (22)

1. The number of roots of a system of equations
2. How many zeros of a random polynomial are real?
3. Van der Waerden conjecture and applications
4. Random matrices
5. On the average number of real roots of a random algebraic equation
6. Newton polyhedra and the genus of complete intersections
7. On the distribution of roots of random polynomials
8. The Newton polyhedron and the number of solution of a system of k equations in k unknowns
9. The maximal number of regular totally mixed Nash equilibria
10. The maximal number of real roots of a multihomogeneous system of polynomial equations
11. Characteristic classes
12. On the average number of real roots of certain random sparse polynomial systems
13. Complexity of Bezout's theorem II: Volumes and probabilities