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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^{…
cond-mat.str-el2014
A topological spin glass in diluted spin ice
Arnab Sen, R. Moessner
It is a salient experimental fact that a large fraction of candidate spin liquid materials freeze as the temperature is lowered. The question naturally arises whether such freezing…