The damped stochastic wave equation on post-critically finite fractals

A post-critically finite (p.c.f.) fractal with a regular harmonic structure admits an associated Dirichlet form, which is itself associated with a Laplacian. This Laplacian enables us to give an analog of the damped stochastic wave equation on the fractal.We show that a unique function-valued soluti...

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Bibliographic Details
Main Authors: Hambly, B, Yang, W
Format: Conference item
Language:English
Published: World Scientific 2020