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The subelliptic heat kernels of the quaternionic Hopf fibration
Fabrice Baudoin, Jing Wang
The main goal of this work is to study the sub-Laplacian of the unit sphere which is obtained by lifting with respect to the Hopf fibration the Laplacian of the quaternionic projec…
math.AP2013
Bakry-Emery meet Villani
Fabrice Baudoin
We revisit Villani's approach to the study of hypocoercive diffusion operators by applying a variant of the Bakry-Émery machinery. The method relies on a generalized Bakry-Émery ty…