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Topology of random simplicial complexes: a survey

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arxiv 1301.7165 v2 pith:QOB3LMUY submitted 2013-01-30 math.AT math.COmath.PR

Matthew Kahle This is my paper · ORCID
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keywords topologyalgebraicapplicationarticlecarlssoncohencomplexesdirections
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This expository article is based on a lecture from the Stanford Symposium on Algebraic Topology: Application and New Directions, held in honor of Gunnar Carlsson, Ralph Cohen, and Ib Madsen.

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  1. Universal topological statistics on triangulated singular spaces

    math.PR 2026-07 conditional novelty 7.0 of 10

    The expected persistence ratio measure for Čech/Rips complexes of a Poisson sample on any admissible compact C^2-triangulable space converges to the same universal limit as in Euclidean space, independent of geometry ...

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