{ "id": "1805.07921", "version": "v1", "published": "2018-05-21T07:12:51.000Z", "updated": "2018-05-21T07:12:51.000Z", "title": "Large scaled geometry of Julia sets of entire and meromorphic functions", "authors": [ "Jun Wang", "Xiao Yao" ], "comment": "Any comments will be appreciated", "categories": [ "math.DS", "math.CV" ], "abstract": "In this paper, we study the large scaled geometric structure of Julia sets of entire and meromorphic functions. Roughly speaking, the structure gives us some asymptotic information about the Julia set near the essential singularity. We will show that part of this structure are determined by the transcendental directions coming from function theoretic point of view.", "revisions": [ { "version": "v1", "updated": "2018-05-21T07:12:51.000Z" } ], "analyses": { "keywords": [ "julia set", "large scaled geometry", "meromorphic functions", "large scaled geometric structure", "function theoretic point" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }