Random systems of polynomial equations. The expected number of roots under smooth analysis
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Publication:605856
DOI10.3150/08-BEJ149zbMath1203.60057arXiv0807.0262OpenAlexW2080456309MaRDI QIDQ605856
Mario Wschebor, Diego Armentano
Publication date: 15 November 2010
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0807.0262
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Cites Work
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- High probability analysis of the condition number of sparse polynomial systems
- On the number of minima of a random polynomial
- On the roots of a random system of equations. The theorem of Shub and Smale and some extensions
- On the Kostlan-Shub-Smale model for random polynomial systems. Variance of the number of roots
- The expected number of real roots of a multihomogeneous system of polynomial equations
- Level Sets and Extrema of Random Processes and Fields
- How many zeros of a random polynomial are real?
- On the average number of real roots of a random algebraic equation