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On the number of connected components of random algebraic hypersurfaces

Yan V. Fyodorov, Antonio Lerario, Erik Lundberg

Journal of Geometry and Physics · 2015 · 44 citations · 23 references

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References

23

On the average number of real roots of a random algebraic equation

Mark Kac · Bulletin of the American Mathematical Society · 1943 · 590 citations · Full text

, , +4

How many zeros of a random polynomial are real?

Alan Edelman, Eric Kostlan · Bulletin of the American Mathematical Society · 1995 · 400 citations · Full text

, , +9

The asymptotic expansion of a ratio of gamma functions

Francesco G. Tricomi, A. Erdélyi · Pacific Journal of Mathematics · 1951 · 389 citations · Full text

, , +5

Random Matrices and Complexity of Spin Glasses

Antonio Auffinger, Gérard Ben Arous · Communications on Pure and Applied Mathematics · 2012 · 259 citations

, , +13

Complexity of Random Energy Landscapes, Glass Transition, and Absolute Value of the Spectral Determinant of Random Matrices

Yan V. Fyodorov · Physical Review Letters · 2004 · 220 citations

, , +14