Small time asymptotics of the entropy of the heat kernel on a Riemannian manifold

Vlado Menkovski, Jacobus W. Portegies, Mahefa Ratsisetraina Ravelonanosy

We give an asymptotic expansion of the relative entropy between the heat kernel $q_Z(t,z,w)$ of a compact Riemannian manifold $Z$ and the normalized Riemannian volume for small val…