Short-time behavior of the heat kernel and Weyl's law on $RC{D}^{\ast }(K,N)$-spaces

Luigi Ambrosio, Shouhei Honda, David Tewodrose

In this paper, we prove pointwise convergence of heat kernels for mGH-convergent sequences of $RC{D}^{\ast }(K,N)$-spaces. We obtain as a corollary results on the short-time behavior of th…