{ "id": "1509.08580", "version": "v1", "published": "2015-09-29T03:31:21.000Z", "updated": "2015-09-29T03:31:21.000Z", "title": "Spectral analysis of random-to-random Markov chains", "authors": [ "A. B. Dieker", "Franco Saliola" ], "comment": "50 pages; 11 figures", "categories": [ "math.CO", "math.PR", "math.RT" ], "abstract": "We compute the eigenvalues and eigenspaces of random-to-random Markov chains. We use a family of maps which reveal a remarkable recursive structure of the eigenspaces, yielding an explicit and effective construction of all eigenbases starting from bases of the kernels.", "revisions": [ { "version": "v1", "updated": "2015-09-29T03:31:21.000Z" } ], "analyses": { "subjects": [ "60J10", "20C30", "05E99" ], "keywords": [ "random-to-random markov chains", "spectral analysis", "eigenspaces", "eigenvalues", "recursive structure" ], "note": { "typesetting": "TeX", "pages": 50, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv150908580D" } } }