Dirichlet forms on quotients of shift spaces

Manfred Denker, Atsushi Imai, and Susanne Koch. "Dirichlet forms on quotients of shift spaces." Colloquium Mathematicae 107.1 (2007): 57-80. <http://eudml.org/doc/284114>.

@article{ManfredDenker2007,
abstract = {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.},
author = {Manfred Denker, Atsushi Imai, Susanne Koch},
journal = {Colloquium Mathematicae},
keywords = {Laplace operator},
language = {eng},
number = {1},
pages = {57-80},
title = {Dirichlet forms on quotients of shift spaces},
url = {http://eudml.org/doc/284114},
volume = {107},
year = {2007},
}

TY - JOUR
AU - Manfred Denker
AU - Atsushi Imai
AU - Susanne Koch
TI - Dirichlet forms on quotients of shift spaces
JO - Colloquium Mathematicae
PY - 2007
VL - 107
IS - 1
SP - 57
EP - 80
AB - 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.
LA - eng
KW - Laplace operator
UR - http://eudml.org/doc/284114
ER -