Laurent Saloff-Coste - Breaking Heat Kernel Estimates Into Pieces

Explore the intricacies of estimating heat kernels on Riemannian manifolds in this 46-minute lecture by Laurent Saloff-Coste for the International Mathematical Union. Delve into the strategy of dissecting manifolds into manageable pieces for easier analysis and subsequent reassembly. Examine how this approach relates to understanding Brownian motion within individual segments and its transitions between them. Gain insights into the results achieved through this methodological framework. Access accompanying presentation slides for a comprehensive visual aid to the concepts discussed.