{ "id": "0909.4933", "version": "v1", "published": "2009-09-27T12:53:56.000Z", "updated": "2009-09-27T12:53:56.000Z", "title": "Boundaries from inhomogeneous Bernoulli trials", "authors": [ "Alexander Gnedin" ], "comment": "15 pages", "categories": [ "math.PR" ], "abstract": "The boundary problem is considered for inhomogeneous increasing random walks on the square lattice ${\\mathbb Z}_+^2$ with weighted edges. Explicit solutions are given for some instances related to the classical and generalized number triangles.", "revisions": [ { "version": "v1", "updated": "2009-09-27T12:53:56.000Z" } ], "analyses": { "subjects": [ "60G09", "60J50", "60C05" ], "keywords": [ "inhomogeneous bernoulli trials", "boundary problem", "square lattice", "explicit solutions", "generalized number triangles" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0909.4933G" } } }