6 citations · 8 across the 4 of their papers we have counts for
11 papers
Real eigenvalues of non-symmetric random matrices: Transitions and Universality
Luis Carlos García del Molino, Khashayar Pakdaman, Jonathan Touboul
In the past 20 years, the study of real eigenvalues of non-symmetric real random matrices has seen important progress. Notwithstanding, central questions still remain open, such as…
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…
Synchronization in random balanced networks
Luis Carlos Garcidel Molino, Khashayar Pakdaman, Jonathan Touboul +1
Characterizing the in uence of network properties on the global emerging behavior of interacting elements constitutes a central question in many areas, from physical to social scie…
Metastable periodic patterns in singularly perturbed state dependent delayed equations
Xavier Pellegrin, Clodoaldo Grotta Ragazzo, Coraci Malta +1
We consider the scalar delayed differential equation $\ep\dot x(t)=-x(t)+f(x(t-r))$, where $\ep>0$, $r=r(x,\ep)$ and represents either a positive feedback or a negati…
Coherence transition in degenerate diffusion equations with mean field coupling
Khashayar Pakdaman, Xavier Pellegrin
We introduce non-linear diffusion in a classical diffusion advection model with non local aggregative coupling on the circle, that exhibits a transition from an uncoherent state to…