{ "id": "1605.07240", "version": "v1", "published": "2016-05-23T23:46:58.000Z", "updated": "2016-05-23T23:46:58.000Z", "title": "Constructions involving interaction of Markov process's with a random environment", "authors": [ "Anirban Das" ], "categories": [ "math.PR" ], "abstract": "Recently Belopolskaya and Suhov studied Markov process's in a random environment, where the environment changes in likeness to a Markov process. Constructions were made to allow the process to \"interact with the environment\", this was done in such a manner that the combined process could be studied by studying the individual ones. A new construction is made which has similar properties. This construction can be carried out with more relaxed conditions than the ones previously done.", "revisions": [ { "version": "v1", "updated": "2016-05-23T23:46:58.000Z" } ], "analyses": { "keywords": [ "markov process", "random environment", "construction", "interaction", "environment changes" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }