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math.PR2014
Double roots of random Littlewood polynomials
Ron Peled, Arnab Sen, Ofer Zeitouni
We consider random polynomials whose coefficients are independent and uniform on {-1,1}. We prove that the probability that such a polynomial of degree n has a double root is o(n^{…
math.PR2014★ 23 cited
Delocalization of two-dimensional random surfaces with hard-core constraints
Piotr Miłoś, Ron Peled
We study the fluctuations of random surfaces on a two-dimensional discrete torus. The random surfaces we consider are defined via a nearest-neighbor pair potential which we require…