Locally symmetric polygon-based self-similar sets are shown to be p-conductively homogeneous for all p above their conformal dimension, yielding Sobolev spaces and diffusions even when the fractal has trivial isometry group.
European Math
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.MG 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Conductive homogeneity of locally symmetric polygon-based self-similar sets
Locally symmetric polygon-based self-similar sets are shown to be p-conductively homogeneous for all p above their conformal dimension, yielding Sobolev spaces and diffusions even when the fractal has trivial isometry group.