activity
19952019
most citedCoulomb gas ensembles and Laplacian growth

94 citations · 100 across the 8 of their papers we have counts for

collaborators

8 papers

math.CA2019★ 1 cited

Exponential integral representations of theta functions

Andrew Bakan, Håkan Hedenmalm

Let be the standard Jacobi theta function, which is holomorphic and zero-free in the upper half-plane , and takes po…

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.CV2009★ 5 cited

The Beurling operator for the hyperbolic plane

H. Hedenmalm

We find a Beurling operator for the hyperbolic plane, and obtain an norm identity for it, as well as estimates.

math.CV2008

Berezin transform in polynomial Bergman spaces

Yacin Ameur, Haakan Hedenmalm, Nikolai Makarov

We study the reproducing kernel for weighted polynomial Bergman spaces and consider applications to the Berezin transform. Some of our results have applications in random matrix th…

math.OC2004

On the asymptotic free boundary for the American put option problem

H. Hedenmalm

In practical work with American put options, it is important to be able to know when to exercise the option, and when not to do so. In computer simulation based on the standard the…

math.CV2004

Branch point area methods in conformal mapping

Haakan Hedenmalm, Natalia Abuzyarova

The classical estimate of Bieberbach -- that for a given univalent function in the class -- leads to best possible pointwise estimates of the ra…