Energy form on a closed fractal curve (Q1885058)

The author studies the von Koch snowflake \(F\) and constructs an energy form associated to a free diffusion on it. The fractal \(F\) is not self-similar, so the by-now well established theory of potential analysis does not apply. The author constructs an energy form on \(F\) by regarding \(F\) as a fractal manifold and integrating the Lagrangian on \(F\).