Dirichlet forms on quotients of shift spaces

Manfred Heinz Denker, Atsushi Imai, Susanne Koch

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We define thin equivalence relations ~ on shift spaces A and derive Dirichlet forms on the quotient space ∑= A/~ 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 Sierpinski gasket.

Original languageEnglish (US)
Pages (from-to)57-80
Number of pages24
JournalColloquium Mathematicum
Volume107
Issue number1
DOIs
StatePublished - Jan 1 2007

Fingerprint

Sierpinski Gasket
Averaging Operators
Quotient Space
Dirichlet Form
Laplace Operator
Equivalence relation
Nearest Neighbor
Quotient

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Denker, Manfred Heinz ; Imai, Atsushi ; Koch, Susanne. / Dirichlet forms on quotients of shift spaces. In: Colloquium Mathematicum. 2007 ; Vol. 107, No. 1. pp. 57-80.
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Denker, MH, Imai, A & Koch, S 2007, 'Dirichlet forms on quotients of shift spaces', Colloquium Mathematicum, vol. 107, no. 1, pp. 57-80. https://doi.org/10.4064/cm107-1-7

Dirichlet forms on quotients of shift spaces. / Denker, Manfred Heinz; Imai, Atsushi; Koch, Susanne.

In: Colloquium Mathematicum, Vol. 107, No. 1, 01.01.2007, p. 57-80.

Research output: Contribution to journalArticle

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