Abstract
ABSTRACTWe consider the problem of constrained Ginibre ensemble with prescribed portion of eigenvalues on a given curve Γ⊂ℝ2 and relate it to a thin obstacle problem. The key step in the proof is the H1 estimate for the logarithmic potential of the equilibrium measure. The coincidence set has two components: one in Γ and another one in ℝ2∖Γ which are well separated. Our main result here asserts that this obstacle problem is well posed in which improves previous results in .
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