Walk dimension and function spaces on self-similar fractals

Volume 84 / 2009

Katarzyna Pietruska-Pa/luba 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.

Authors

  • Katarzyna Pietruska-Pa/lubaInstitute of Mathematics
    University of Warsaw
    Banacha 2
    02-097 Warszawa, Poland
    e-mail

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