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math.CV2013★ 2 cited
Random polynomials and pluripotential-theoretic extremal functions
Thomas Bloom, Norman Levenberg
There is a natural pluripotential-theoretic extremal function V_{K,Q} associated to a closed subset K of C^m and a real-valued, continuous function Q on K. We define random polynom…
math.CV2013★ 2 cited
Vector Energy and Large Deviation
T. Bloom, N. Levenberg, F. Wielonsky
For d nonpolar compact sets K_1,...,K_d in the complex plane, d admissible weights Q_1,...,Q_d, and a positive semidefinite d x d interaction matrix C with no zero column, we defin…