Dual graphs and modified Barlow-Bass resistance estimates for repeated barycentric subdivisions
Dual graphs and modified Barlow-Bass resistance estimates for repeated barycentric subdivisions
We prove Barlow-Bass type resistance estimates for two random walks associated with repeated barycentric subdivisions of a triangle. If the random walk jumps between the centers of triangles in the subdivision that have common sides, the resistance scales as a power of a constant $ρ$ which is theoretically estimated to …