Walk dimension and function spaces on self-similar fractals
Katarzyna Pietruska-Pałuba
Banach Center Publications, Tome 86 (2009), p. 63-73 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:281720 
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     author = {Katarzyna Pietruska-Pa\l uba},
     title = {Walk dimension and function spaces on self-similar fractals},
     journal = {Banach Center Publications},
     volume = {86},
     year = {2009},
     pages = {63-73},
     zbl = {1180.60064},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc84-0-4}
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Katarzyna Pietruska-Pałuba. Walk dimension and function spaces on self-similar fractals. Banach Center Publications, Tome 86 (2009) pp. 63-73. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc84-0-4/