Generalised diffusion on moduli spaces of -adic Mumford curves
arXiv:1910.06207 · doi:10.1134/S2070046620020016
Abstract
A construction of a pseudo-differential operator on non-archimedean local fields invariant under a finite group action is given together with the solution of the corresponding Cauchy problem. This construction is applied to parts of the Gerritzen-Herrlich Teichmüller space in order to obtain a self-adjoint operator whose spectrum can decide about certain properties of the reduction graph of the corresponding Mumford curves.
18 pages, 2 Figures