Pietruska-Pałuba, Katarzyna Walk dimension and function spaces on self-similar fractals. (English) Zbl 1180.60064 MacG. Dawson, Robert J. (ed.) et al., Convex and fractal geometry. Papers of the conference, Będlewo, Poland, May 21–26, 2007. Warsaw: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-03-4/pbk). Banach Center Publications 84, 63-73 (2009). This article is a short review of the construction of Brownian motion on some self-similar fractals and the associated notions of dimension. Particular attention is given to the relationship of probabilistic versus functional analytic aspects.For the entire collection see [Zbl 1156.00015]. Reviewer: Peter Mörters (Bath) MSC: 60J35 Transition functions, generators and resolvents 60J65 Brownian motion 28A80 Fractals Keywords:Brownian motion on self-similar fractals; fractals; fractional diffusion; walk dimension PDFBibTeX XMLCite \textit{K. Pietruska-Pałuba}, Banach Cent. Publ. 84, 63--73 (2008; Zbl 1180.60064)