153 citations · 544 across the 20 of their papers we have counts for
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math.CV2011★ 89 cited
Random normal matrices and Ward identities
Yacin Ameur, Haakan Hedenmalm, Nikolai Makarov
Consider the random normal matrix ensemble associated with a potential on the plane which is sufficiently strong near infinity. It is known that, to a first approximation, the eige…
math.PR2011★ 94 cited
Coulomb gas ensembles and Laplacian growth
Haakan Hedenmalm, Nikolai Makarov
We consider the normal matrix ensemble under a general confining potential. We find that the eigenvalues condensate on a compact set in the plane, which we call the spectral drople…
math.PR2011★ 30 cited
Gaussian free field and conformal field theory
Nam-Gyu Kang, Nikolai Makarov
In these mostly expository lectures, we give an elementary introduction to conformal field theory in the context of probability theory and complex analysis. We consider statistical…