Heat kernel on Ricci shrinkers (II)

This paper is the sequel to our study of heat kernels on Ricci shrinkers in \cite{LW20}. In this paper, we improve many estimates in \cite{LW20} and extend the recent progress of Bamler \cite{Bam20a}. In particular, we drop the compactness and curvature boundedness assumptions and show that the theory of $\text{IF}$-convergence holds naturally on any Ricci flows induced by Ricci shrinkers.