Dirichlet forms on quotients of shift spaces
Manfred Denker ; Atsushi Imai ; Susanne Koch
Colloquium Mathematicae, Tome 107 (2007), p. 57-80 / Harvested from The Polish Digital Mathematics Library
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We define thin equivalence relations ∼ on shift spaces ∞ and derive Dirichlet forms on the quotient space Σ=∞/∼ in terms of the nearest neighbour averaging operator. We identify the associated Laplace operator. The conditions are applied to some non-self-similar extensions of the Sierpiński gasket.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:284114 
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     title = {Dirichlet forms on quotients of shift spaces},
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     year = {2007},
     pages = {57-80},
     zbl = {1118.28004},
     language = {en},
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Manfred Denker; Atsushi Imai; Susanne Koch. Dirichlet forms on quotients of shift spaces. Colloquium Mathematicae, Tome 107 (2007) pp. 57-80. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm107-1-7/