Topologically Based Fractional Diffusion and Emergent Dynamics with Short-Range Interactions
Topologically Based Fractional Diffusion and Emergent Dynamics with Short-Range Interactions
We introduce a new class of models for emergent dynamics. It is based on a new communication protocol which incorporates two main features: short-range kernels which restrict the communication to local metric balls, and anisotropic communication kernels, adapted to the local density in these balls, which form topological neighborhoods. We …