Random Geometric Complexes

author: Yogeshwaran Dhandapani, Indian Statistical Institute, Bangalore
published: April 29, 2015,   recorded: March 2015,   views: 2224

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I shall introduce simplicial complexes over random point clouds and briefly motivate such a study. Then I shall describe recent progress on understanding of the topology of the simplicial complexes. I will try to emphasize on the connections to stochastic geometry. I shall define or give a heuristic description of the topological notions used however will assume some basic knowledge of probability.

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