49 citations · 54 across the 4 of their papers we have counts for
4 papers
Towards a general theory for coupling functions allowing persistent synchronization
Tiago Pereira, Jaap Eldering, Martin Rasmussen +1
We study synchronisation properties of networks of coupled dynamical systems with interaction akin to diffusion. We assume that the isolated node dynamics possesses a forward invar…
Asymptotic Integral Kernel for Ensembles of Random Normal Matrix with Radial Potentials
Alexei M. Veneziani, Tiago Pereira, Domingos H. U. Marchetti
We use the steepest descents method to study the integral kernel of a family of normal random matrix ensembles with eigenvalue distribution P_{N}(z_{1},...,z_{N}) = Z_{N}^{-1} e^{-…
Conformal Universality in Normal Matrix Ensembles
Alexei M. Veneziani, Tiago Pereira, Domingos H. U. Marchetti
A remarkable property of Hermitian ensembles is their universal behavior, that is, once properly rescaled the eigenvalue statistics does not depend on particularities of the ensemb…
Conformal Deformation from Normal to Hermitian Random Matrix Ensembles
Alexei M. Veneziani, Tiago Pereira, Domingos H. U. Marchetti
We investigate the eigenvalues statistics of ensembles of normal random matrices when their order N tends to infinite. In the model the eigenvalues have uniform density within a re…