{ "id": "2203.01592", "version": "v1", "published": "2022-03-03T09:41:32.000Z", "updated": "2022-03-03T09:41:32.000Z", "title": "Explosion and non-explosion for the continuous-time frog model", "authors": [ "Viktor Bezborodov", "Luca Di Persio", "Peter Kuchling" ], "categories": [ "math.PR" ], "abstract": "Different sets of conditions are given ensuring the explosion, respectively non-explosion, of the continuous-time frog model. The proof relies on a certain type of comparison to a percolation model which we call totally asymmetric discrete inhomogeneous Boolean percolation.", "revisions": [ { "version": "v1", "updated": "2022-03-03T09:41:32.000Z" } ], "analyses": { "subjects": [ "60K35" ], "keywords": [ "continuous-time frog model", "non-explosion", "asymmetric discrete inhomogeneous boolean percolation", "totally asymmetric discrete inhomogeneous boolean", "percolation model" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }