Random Walks on Barycentric Subdivisions and the Strichartz Hexacarpet
Random Walks on Barycentric Subdivisions and the Strichartz Hexacarpet
Abstract We investigate simple random walks on graphs generated by repeated barycentric subdivisions of a triangle. We use these random walks to study the diffusion on the self-similar fractal known as the Strichartz hexacarpet, which is generated as the limit space of these graphs. We make this connection rigorous by …