Campuses:

Curvature

Thursday, April 16, 2015 - 9:00am - 9:50am
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
Monday, July 15, 2013 - 3:30pm - 4:30pm
Andrea Bonito (Texas A & M University)
We present a general framework for the numerical resolution of processes
driven by geometric components such as the curvature of the domain boundary.
In this context, the Laplace-Beltrami operator plays a crucial role.
Two applications are discussed: Electrowetting on dielectric (EWOD) and
the simulation of Biomembranes.

The former refers to a parallel-plate
micro-device that moves fluid droplets through electrically
actuated surface tension effects. These devices have potential
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