Walk dimension and function spaces on self-similar fractals

Katarzyna Pietruska-Pałuba

Banach Center Publications (2009)

  • Volume: 84, Issue: 1, page 63-73
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Katarzyna Pietruska-Pałuba. "Walk dimension and function spaces on self-similar fractals." Banach Center Publications 84.1 (2009): 63-73. <http://eudml.org/doc/281720>.

@article{KatarzynaPietruska2009,
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.},
author = {Katarzyna Pietruska-Pałuba},
journal = {Banach Center Publications},
keywords = {Brownian motion on self-similar fractals; fractals; fractional diffusion; walk dimension},
language = {eng},
number = {1},
pages = {63-73},
title = {Walk dimension and function spaces on self-similar fractals},
url = {http://eudml.org/doc/281720},
volume = {84},
year = {2009},
}

TY - JOUR
AU - Katarzyna Pietruska-Pałuba
TI - Walk dimension and function spaces on self-similar fractals
JO - Banach Center Publications
PY - 2009
VL - 84
IS - 1
SP - 63
EP - 73
AB - 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.
LA - eng
KW - Brownian motion on self-similar fractals; fractals; fractional diffusion; walk dimension
UR - http://eudml.org/doc/281720
ER -

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