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Topology/Geometry Seminar

Poincare inequality and Gaussian heat kernel estimate for non-negatively curved graphs

Yong Lin: Renmin University, China and Harvard

Location:  Hill 005
Date & time: Tuesday, 07 March 2017 at 3:30PM - 3:31PM

We derive that if a graph has non-negative curvature then it has the volume doubling property, from this we can prove the Gaussian estimate for heat kernel, and then Poincare inequality and Harnack inequality. Under the assumption of positive curvature on graphs, we derive the Bonnet-Myers type theorem that the diameter of graphs is finite and bounded above in terms of the positive curvature.

This is a joint work with Horn, Liu and Yau.

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Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

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