{ "id": "1209.1274", "version": "v1", "published": "2012-09-06T13:34:51.000Z", "updated": "2012-09-06T13:34:51.000Z", "title": "Simulations and a conditional limit theorem for intermediately subcritical branching processes in random environment", "authors": [ "Christian Böinghoff", "Götz Kersting" ], "comment": "25 pages, 5 figures", "categories": [ "math.PR" ], "abstract": "Intermediately subcritical branching processes in random environment are at the borderline between two subcritical regimes and exhibit a particularly rich behavior. In this paper, we prove a functional limit theorem for these processes. It is discussed together with two other recently proved limit theorems for the intermediately subcritical case and illustrated by several computer simulations.", "revisions": [ { "version": "v1", "updated": "2012-09-06T13:34:51.000Z" } ], "analyses": { "subjects": [ "60J80", "60F17" ], "keywords": [ "intermediately subcritical branching processes", "conditional limit theorem", "random environment", "functional limit theorem", "computer simulations" ], "note": { "typesetting": "TeX", "pages": 25, "language": "en", "license": "arXiv", "status": "editable" } } }