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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Bibliographic details
Main Author: Suda, Hayate
Format: Publication
Language: English
Place of publication: 03.12.2019
Data of publication: 2019-12-03
Online Access: available in Bonn?
Database: OpenAIRE (Open Access)
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