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Curvature-Dimension Condition for Non-Conventional Dimensions

Thursday, April 16, 2015 - 9:00am - 9:50am
Keller 3-180
Emanuel Milman (Technion-Israel Institute of Technology)
The celebrated Curvature-Dimension condition CD(K,N) of Bakry and Emery is a well-known generator of isoperimetric, functional and concentration inequalities. Traditionally, the range of admissible values for the generalized dimension N has been confined to [n,\infty], where n is the (topological) dimension of the ambient space. We extend this in two manners.

First, we treat the range N
Second (time permitting), to treat the forbidden range 1
MSC Code: 
53C44
Keywords: