Spectral properties of self-similar lattices and iteration of rational maps
Spectral properties of self-similar lattices and iteration of rational maps
In this text we consider discrete Laplace operators defined on lattices based on finitely-ramified self-similar sets, and their continuous analogous defined on the self-similar sets themselves. We are interested in the spectral properties of these operators. The basic example is the lattice based on the Sierpinski gasket. We introduce a …