{ "id": "1606.06518", "version": "v1", "published": "2016-06-21T11:15:27.000Z", "updated": "2016-06-21T11:15:27.000Z", "title": "A remark on the convergence of Betti numbers in the thermodynamic regime", "authors": [ "Trinh Khanh Duy" ], "categories": [ "math.PR" ], "abstract": "The convergence of the expectations of Betti numbers of \\v{C}ech complexes built on binomial point processes in the thermodynamic regime is established.", "revisions": [ { "version": "v1", "updated": "2016-06-21T11:15:27.000Z" } ], "analyses": { "subjects": [ "55N05", "60F99" ], "keywords": [ "betti numbers", "thermodynamic regime", "convergence", "binomial point processes" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }