Date:
Wed, 19/04/202314:00-15:00
Title: On Gaußian Heat Kernel Bounds on Graphs with Unbounded Geometry
Abstract: The study of the heat kernel is a classical topic in the analysis of manifolds and graphs.
Its relevance stems from the fact that the heat kernel encodes the geometry of the underlying space in analytic terms.
While the short term behavior is fundamentally different for manifolds and graphs, the long term behavior is expected to be similar.
This is well understood for many years for graphs with bounded geometry. However, most real world networks are distinguished by the existence of so called hubs, i.e., vertices with high degree. In this talk we discuss Gaußian upper bounds for graphs which allow for unbounded vertex degree. (This is joint work with Christian Rose.)
Abstract: The study of the heat kernel is a classical topic in the analysis of manifolds and graphs.
Its relevance stems from the fact that the heat kernel encodes the geometry of the underlying space in analytic terms.
While the short term behavior is fundamentally different for manifolds and graphs, the long term behavior is expected to be similar.
This is well understood for many years for graphs with bounded geometry. However, most real world networks are distinguished by the existence of so called hubs, i.e., vertices with high degree. In this talk we discuss Gaußian upper bounds for graphs which allow for unbounded vertex degree. (This is joint work with Christian Rose.)