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3 papers · 1 filter
The real Ginibre ensemble with real eigenvalues
Luis Carlos García del Molino, Khashayar Pakdaman, Jonathan Touboul +1
We consider the ensemble of Real Ginibre matrices with a positive fraction of real eigenvalues. We demonstrate a large deviations principle for the joint eigenvalue density o…
The heterogeneous gas with singular interaction: Generalized circular law and heterogeneous renormalized energy
Luis Carlos Garcia del Molino, Khashayar Pakdaman, Jonathan Touboul
We introduce and analyze dimensional Coulomb gases with random charge distribution and general external confining potential. We show that these gases satisfy a large deviations…
A 2-adic approach of the human respiratory tree
Frederic Bernicot, Bertrand Maury, Delphine Salort
We propose here a general framework to address the question of trace operators on a dyadic tree. This work is motivated by the modeling of the human bronchial tree which, thanks to…