153 citations · 442 across the 33 of their papers we have counts for
5 papers · 1 filter
Discrete Gaussian Free Field via Hadamard's formula
Haakan Hedenmalm, Pavel Mozolyako, Daniil Panov
We present a novel way of constructing the Gaussian Free Field on a weighted graph via a dynamical expansion of the Green function along an expanding family of subgraphs. Along the…
The Gaussian free field and Hadamard's variational formula
Haakan Hedenmalm, Pekka J. Nieminen
We relate the Gaussian free field on a planar domain to the variational formula of Hadamard which explains the change of the Green function under a perturbation of the domain. This…
The polyanalytic Ginibre ensembles
Antti Haimi, Haakan Hedenmalm
We consider a polyanalytic generalization of the Ginibre ensemble. This models allowing higher Landau levels (the Ginibre ensemble corresponds to the lowest Landau level). We study…
Fluctuations of eigenvalues of random normal matrices
Yacin Ameur, Haakan Hedenmalm, Nikolai Makarov
In this note, we prove Gaussian field convergence of fluctuations of eigenvalues of random normal matrices in the interior of a quantum droplet.
Quantum Hele-Shaw flow
Haakan Hedenmalm, Nikolai Makarov
In this note, we discuss the quantum Hele-Shaw flow, a random measure process in the complex plane introduced by the physicists P.Wiegmann, A. Zabrodin, et al. This process arises…