212 citations · 1.4k across the 61 of their papers we have counts for
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On the convergence to the non-equilibrium steady state of a Langevin dynamics with widely separated time scales and different temperatures
Diego Alberici, Nicolas Macris, Emanuele Mingione
We study the solution of the two-temperatures Fokker-Planck equation and rigorously analyse its convergence towards an explicit non-equilibrium stationary measure for long time and…
Extended Edge States in Finite Hall Systems
Christian Ferrari, Nicolas Macris
We study edge states of a random Schroedinger operator for an electron submitted to a magnetic field in a finite macroscopic two dimensional system of linear dimensions equal to L.…
Spectral flow and level spacing of edge states for quantum Hall hamiltonians
Nicolas Macris
We consider a non relativistic particle on the surface of a semi-infinite cylinder of circumference submitted to a perpendicular magnetic field of strength and to the poten…
Spectral Properties of Finite Quantum Hall Systems
Christian Ferrari, Nicolas Macris
In this note we review spectral properties of magnetic random Schroedinger operators H_omega=H_0+V_omega + U_l + U_r defined on L^2(R x [-L/2,L/2],dx dy) with periodic boundary con…
Intermixture of extended edge and localized bulk energy levels in macroscopic Hall systems
Christian Ferrari, Nicolas Macris
We study the spectrum of a random Schroedinger operator for an electron submitted to a magnetic field in a finite but macroscopic two dimensional system of linear dimensions equal…
Characterization of the Spectrum of the Landau Hamiltonian with Delta Impurities
T. C. Dorlas, N. Macris, J. V. Pulé
We consider a random Schrodinger operator in an external magnetic field. The random potential consists of delta functions of random strengths situated on the sites of a regular two…