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Probability and PDEs

Asymptotic behaviors for the random Schrödinger equation with long-range correlations

speaker: Christophe Gomez (Aix-Marseille University / LATP)

abstract: Wave propagation in random media with long-range correlations was recently stimulated by data collections showing that propagation media can exhibit long-range correlation effects. Under the forward scattering approximation, the wave equation can be reduced to a random Schrödinger equation.

In this talk, we will study the Schrödinger equation with a slowly decorrelating random potential, and show that the energy density of the wave function exhibits some anomalous diffusion phenomena.

timetable:
Thu 23 May, 17:00 - 17:50, Aula Dini
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