Abstract
We consider a chain of weakly harmonic coupled oscillators perturbed by a conservative noise. We show that by tuning accordingly the coupling constant, energy can diffuse like a Brownian motion or superdiffuse like a maximally $3/2$-stable asymmetric Lévy process. For a critical value of the coupling, the energy diffusion is described by a family of Lévy processes which interpolate between these two processes.
Citation
Cédric Bernardin. Patrícia Gonçalves. Milton Jara. "Weakly harmonic oscillators perturbed by a conservative noise." Ann. Appl. Probab. 28 (3) 1315 - 1355, June 2018. https://doi.org/10.1214/17-AAP1330
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