Neumann semigroup, subgraph convergence, form uniqueness, stochastic completeness and the Feller property

Matthias Keller, Florentin Münch, Radosław K. Wojciechowski

We study heat kernel convergence of induced subgraphs with Neumann boundary conditions. We first establish convergence of the resulting semigroups to the Neumann semigroup in $\ell…