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Homology of Multi-Parameter Random Simplicial Complexes
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Journal Article
Homology of Multi-Parameter Random Simplicial Complexes
2019
Overview
We consider a multi-parameter model for randomly constructing simplicial complexes that interpolates between random clique complexes and Linial–Meshulam random k-dimensional complexes. Unlike these models, multi-parameter complexes exhibit nontrivial homology in numerous dimensions simultaneously. We establish upper and lower thresholds for the appearance of nontrivial cohomology in each dimension and characterize the behavior at criticality.
Publisher
Springer Nature B.V
Subject
