The short-time limit of the Dirichlet partition function and the image method

Agapitos N. Hatzinikitas, Nikolaos Lymouris

In this paper we rigorously derive the $t\to 0^{+}$ asymptotics of the free partition function $Z_{\Omega }(t)$ for a diffusion process on tessellations of the d-dimensional Euclidea…