Heat Kernels as Path Integrals
arXiv:1810.07898
Abstract
In this survey article, we review the relation between heat kernels and path integrals. In particular, we review recent results on the approximation of the Wiener measure on compact manifold by measures on (finite-dimensional) spaces of piece-wise geodesics.
This is an expanded version of an article in: Bei, Francesco; Brüning, Jochen; Güneysu, Batu; Ludewig, Matthias, Geometric analysis on singular spaces. Space--time--matter, 349-416, De Gruyter, Berlin, 2018