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math.AG2019
Roots of Kostlan polynomials: moments, strong Law of Large Numbers and Central Limit Theorem
Michele Ancona, Thomas Letendre
We study the number of real roots of a Kostlan random polynomial of degree in one variable. More generally, we are interested in the distribution of the counting measure of the…
math-ph2019★ 1 cited
Random moments for the new eigenfunctions of point scatterers on rectangular flat tori
Thomas Letendre, Henrik Ueberschär
We define a random model for the moments of the new eigenfunctions of a point scat-terer on a 2-dimensional rectangular flat torus. In the deterministic setting,Seba conjectured th…