### A family of fractional diffusion equations derived from stochastic harmonic chains with long-range interactions

We consider one-dimensional infinite chains of harmonic oscillators with stochastic perturbations and long-range interactions which have polynomial decay rate $|x|^{-\theta}, x \to \infty, \theta > 1$, where $x \in \mathbb{Z}$ is the interaction range. We prove that if $2< \theta \le 3$, then...

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Main Author: Suda, Hayate Publication English 03.12.2019 2019-12-03 OpenAIRE (Open Access)OpenAIREDatabase information Databases - DBIS