You may also want to look at the work of Nati Linial and Ron Roy Meshulam, Eric Babson, Matt Kahle, et al, on random simplicial complexes. You can define a "random manifold" by conditioning your complex to be a manifold, though no one has succeeded in doing this in anything like a useful way.Still, this is a very natural generalization of Erdos-Renyi random graphs, and is somewhat tractable.
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You may also want to look at the work of Nati Linial and Ron Meshulam, Eric Babson, Matt Kahle, et al, on random simplicial complexes. You can define a "random manifold" by conditioning your complex to be a manifold, though no one has succeeded in doing this in anything like a useful way.Still, this is a very natural generalization of Erdos-Renyi random graphs, and is somewhat tractable. |
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