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- W2896768190 abstract "This thesis is devoted to the mathematical study of some systems of classical and quantum particles, in a disordered medium. It comprises four published or submitted works. In the first one we provide a new formula allowing to prove Anderson localisation in one space dimension and to characterise the decay at infinity of the eigenfunctions. The second contains one of the first proofs of localisation for infinitely many particles in interaction, in the Hartree-Fock approximation. The third work is dedicated to the Anderson model in a time-periodic perturbation. Under certain conditions on the oscillation frequency we prove the absence of diffusion. In the last work we show the decay of correlations for the one-dimensional Jellium model in an inhomogeneous background, using the Hilbert distance on cones and the Birkhoff-Hopf theorem" @default.
- W2896768190 created "2018-10-26" @default.
- W2896768190 creator A5022212869 @default.
- W2896768190 date "2018-09-18" @default.
- W2896768190 modified "2023-09-26" @default.
- W2896768190 title "Mathematical study of some systems of particles in a disordered medium" @default.
- W2896768190 hasPublicationYear "2018" @default.
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