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math.CA2018
The reciprocal Mahler ensembles of random polynomials
Christopher D. Sinclair, Maxim L. Yattselev
We consider the roots of uniformly chosen complex and real reciprocal polynomials of degree whose Mahler measure is bounded by a constant. After a change of variables this redu…
math.CA2011
Universality for ensembles of matrices with potential theoretic weights on domains with smooth boundary
Christopher D. Sinclair, Maxim L. Yattselev
We investigate a two-dimensional statistical model of N charged particles interacting via logarithmic repulsion in the presence of an oppositely charged compact region K whose char…