Ito's diffusion in multidimensional scattering with sign-indefinite potentials

Details Ito's diffusion in multidimensional scattering with sign-indefinite potentials Ito's diffusion in multidimensional scattering with sign-indefinite potentials

2011-06-10

arxiv.org/abs/1106.2155v1

Mathematics

Analysis of PDEs

preprint

Scientific paper

This paper blends two techniques recently developed in [2] and [3] to prove
the presence of absolutely continuous spectrum for the multidimensional
Schrodinger operator provided that the potential is summable over trajectory
with positive probability. These trajectories are defined by Ito's equation and
escape to infinity almost surely.

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