{"related_material":{"record":[{"relation":"dissertation_contains","id":"1155","status":"public"}]},"status":"public","quality_controlled":"1","title":"Linear distances between Markov chains","alternative_title":["LIPIcs"],"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","date_created":"2018-12-11T11:50:06Z","oa":1,"oa_version":"Published Version","scopus_import":1,"publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","publication_status":"published","date_published":"2016-08-01T00:00:00Z","abstract":[{"lang":"eng","text":"We introduce a general class of distances (metrics) between Markov chains, which are based on linear behaviour. This class encompasses distances given topologically (such as the total variation distance or trace distance) as well as by temporal logics or automata. We investigate which of the distances can be approximated by observing the systems, i.e. by black-box testing or simulation, and we provide both negative and positive results. "}],"department":[{"_id":"ToHe"},{"_id":"KrCh"},{"_id":"CaGu"}],"day":"01","file":[{"access_level":"open_access","creator":"system","file_name":"IST-2017-794-v1+1_LIPIcs-CONCUR-2016-20.pdf","content_type":"application/pdf","relation":"main_file","date_created":"2018-12-12T10:11:39Z","file_size":501827,"file_id":"4895","date_updated":"2018-12-12T10:11:39Z"}],"type":"conference","tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"date_updated":"2023-09-07T11:58:33Z","month":"08","file_date_updated":"2018-12-12T10:11:39Z","acknowledgement":"This research was funded in part by the European Research Council (ERC) under grant agreement 267989\r\n(QUAREM), the Austrian Science Fund (FWF) under grants project S11402-N23 (RiSE and SHiNE)\r\nand Z211-N23 (Wittgenstein Award), by the Czech Science Foundation Grant No. P202/12/G061, and\r\nby the SNSF Advanced Postdoc. Mobility Fellowship – grant number P300P2_161067.","ddc":["004"],"project":[{"grant_number":"267989","name":"Quantitative Reactive Modeling","_id":"25EE3708-B435-11E9-9278-68D0E5697425","call_identifier":"FP7"},{"_id":"25832EC2-B435-11E9-9278-68D0E5697425","name":"Rigorous Systems Engineering","grant_number":"S 11407_N23","call_identifier":"FWF"},{"call_identifier":"FWF","grant_number":"Z211","name":"The Wittgenstein Prize","_id":"25F42A32-B435-11E9-9278-68D0E5697425"}],"volume":59,"publist_id":"6283","intvolume":" 59","year":"2016","ec_funded":1,"citation":{"mla":"Daca, Przemyslaw, et al. Linear Distances between Markov Chains. Vol. 59, 20, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2016, doi:10.4230/LIPIcs.CONCUR.2016.20.","ieee":"P. Daca, T. A. Henzinger, J. Kretinsky, and T. Petrov, “Linear distances between Markov chains,” presented at the CONCUR: Concurrency Theory, Quebec City; Canada, 2016, vol. 59.","ama":"Daca P, Henzinger TA, Kretinsky J, Petrov T. Linear distances between Markov chains. In: Vol 59. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2016. doi:10.4230/LIPIcs.CONCUR.2016.20","apa":"Daca, P., Henzinger, T. A., Kretinsky, J., & Petrov, T. (2016). Linear distances between Markov chains (Vol. 59). Presented at the CONCUR: Concurrency Theory, Quebec City; Canada: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.CONCUR.2016.20","ista":"Daca P, Henzinger TA, Kretinsky J, Petrov T. 2016. Linear distances between Markov chains. CONCUR: Concurrency Theory, LIPIcs, vol. 59, 20.","chicago":"Daca, Przemyslaw, Thomas A Henzinger, Jan Kretinsky, and Tatjana Petrov. “Linear Distances between Markov Chains,” Vol. 59. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2016. https://doi.org/10.4230/LIPIcs.CONCUR.2016.20.","short":"P. Daca, T.A. Henzinger, J. Kretinsky, T. Petrov, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2016."},"conference":{"location":"Quebec City; Canada","end_date":"2016-08-26","start_date":"2016-08-23","name":"CONCUR: Concurrency Theory"},"language":[{"iso":"eng"}],"pubrep_id":"794","article_number":"20","_id":"1093","doi":"10.4230/LIPIcs.CONCUR.2016.20","author":[{"id":"49351290-F248-11E8-B48F-1D18A9856A87","full_name":"Daca, Przemyslaw","last_name":"Daca","first_name":"Przemyslaw"},{"last_name":"Henzinger","first_name":"Thomas A","id":"40876CD8-F248-11E8-B48F-1D18A9856A87","full_name":"Henzinger, Thomas A","orcid":"0000−0002−2985−7724"},{"id":"44CEF464-F248-11E8-B48F-1D18A9856A87","full_name":"Kretinsky, Jan","first_name":"Jan","last_name":"Kretinsky","orcid":"0000-0002-8122-2881"},{"orcid":"0000-0002-9041-0905","id":"3D5811FC-F248-11E8-B48F-1D18A9856A87","full_name":"Petrov, Tatjana","last_name":"Petrov","first_name":"Tatjana"}],"has_accepted_license":"1"}