Existence and uniqueness of harmonic maps from the Sierpinski gasket (and other p.c.f. fractals) to the circle is established for each homotopy class via per-class covering spaces, lifting, harmonic extension, and projection, extending Strichartz's theorem.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math-ph 1years
2024 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Kuramoto model on Sierpinski Gasket I: Harmonic maps
Existence and uniqueness of harmonic maps from the Sierpinski gasket (and other p.c.f. fractals) to the circle is established for each homotopy class via per-class covering spaces, lifting, harmonic extension, and projection, extending Strichartz's theorem.