Topological properties and a multiplicative Bloch-Floquet-Zak transform for scattering by self-similar or fractal media
We develop the first rigorous topological framework for an auxiliary boundary-integral model motivated by physical scaling identities for wave scattering from self-similar or fractal media. The model is periodic in logarithmic scale, and a multiplicative Bloch-Floquet-Zak transform fiberizes its interscale coupling. Fo...