Jump-diffusion on a terrain with boundary — five behaviours at the edge

A particle performs a jump-diffusion on a manifold-with-boundary M (a patch of terrain): Brownian wandering punctuated by Poisson Lévy jumps. When the path reaches the boundary ∂M, one of five boundary conditions fires — reflection (Neumann), sticky reflection (it lingers a positive time), sticky + tangential diffusion (it lingers and drifts along ∂M before re-entering), absorption (killed at the edge), or a jump back to a uniformly random interior point (resurrection). Switch the rule in the panel.