Electrical resistance of N-gasket fractal networks
Electrical resistance of N-gasket fractal networks
We study self-similar local regular Dirichlet, or energy, forms on a class of fractal N-gaskets, which are generalizations of polygaskets.This is directly related to self-similar diffusions and resistor networks (electrical circuits).We prove existence and uniqueness, and also obtain explicit formulas for scaling factors and resistances (transition probabilities).We also study asymptotic …