Walk dimension and function spaces on self-similar fractals
Volume 84 / 2009
Banach Center Publications 84 (2009), 63-73
MSC: 60J35, 46E30.
DOI: 10.4064/bc84-0-4
Abstract
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.
