Walk dimension and function spaces on self-similar fractals
Banach Center Publications 84 (2009), 63-73 MSC: 60J35, 46E30. DOI: 10.4064/bc84-0-4
We outline the construction of Brownian motion on certain self-similar fractals and introduce the notion of walk dimension. We then show how the probabilistic approach relates to the theory of function spaces on fractals.