{ "id": "2207.06685", "version": "v1", "published": "2022-07-14T06:30:08.000Z", "updated": "2022-07-14T06:30:08.000Z", "title": "Spectral Radius of Biased Random Walks on Regular Trees", "authors": [ "He Song" ], "comment": "arXiv admin note: substantial text overlap with arXiv:1805.01611", "categories": [ "math.PR" ], "abstract": "We consider biased random walk on regular tree and we obtain the spectral radius, first return probability and $n$-step transition probability.", "revisions": [ { "version": "v1", "updated": "2022-07-14T06:30:08.000Z" } ], "analyses": { "keywords": [ "biased random walk", "regular tree", "spectral radius", "first return probability", "step transition probability" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }