Discrete diffusion-type equation on regular graphs and its applications

Carlos A. Cadavid, Paulina Hoyos, Jay Jorgenson +2

We derive an explicit formula for the fundamental solution $K_{T_{q+1}}(x,x_0;t)$ to the discrete-time diffusion equation on the $(q+1)$-regular tree $T_{q+1}$ in terms of the di…