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math.AP2017
Effective Multipoles in Random media
Peter Bella, Arianna Giunti, Felix Otto
In a homogeneous medium, the far-field generated by a localized source can be expanded in terms of multipoles; the coefficients are determined by the moments of the localized charg…
math.AP2017
A Liouville theorem for stationary and ergodic ensembles of parabolic systems
Peter Bella, Alberto Chiarini, Benjamin Fehrman
A first-order Liouville theorem is obtained for random ensembles of uniformly parabolic systems under the mere qualitative assumptions of stationarity and ergodicity. Furthermore,…