{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,14]],"date-time":"2024-07-14T22:54:47Z","timestamp":1720997687378},"reference-count":11,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Open Syst. Inf. Dyn."],"published-print":{"date-parts":[[2014,9]]},"abstract":"<jats:p> In this paper we propose a new system of algebraic and statistical axioms as working hypotheses, from which Born rule can be seen to emerge. In this process the concept of sectors defined as quasi-equivalence classes of factor states plays a crucial role. <\/jats:p>","DOI":"10.1142\/s123016121450005x","type":"journal-article","created":{"date-parts":[[2014,8,7]],"date-time":"2014-08-07T09:13:02Z","timestamp":1407402782000},"page":"1450005","source":"Crossref","is-referenced-by-count":4,"title":["Derivation of Born Rule from Algebraic and Statistical Axioms"],"prefix":"10.1142","volume":"21","author":[{"given":"Izumi","family":"Ojima","sequence":"first","affiliation":[{"name":"Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kazuya","family":"Okamura","sequence":"additional","affiliation":[{"name":"Graduate School of Information Science, Nagoya University, Nagoya, Aichi, Japan"},{"name":"Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hayato","family":"Saigo","sequence":"additional","affiliation":[{"name":"Nagahama Institute of Bio-Science and Technology, Nagahama, Shiga, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2014,8,7]]},"reference":[{"key":"p_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01397477"},{"key":"p_4","doi-asserted-by":"publisher","DOI":"10.1007\/BF01647093"},{"key":"p_6","doi-asserted-by":"publisher","DOI":"10.1142\/S1230161209000050"},{"key":"p_7","doi-asserted-by":"publisher","DOI":"10.1007\/BF01457115"},{"key":"p_11","doi-asserted-by":"publisher","DOI":"10.1023\/A:1025175907589"},{"key":"p_13","doi-asserted-by":"publisher","DOI":"10.1142\/S1230161212500217"},{"key":"p_14","doi-asserted-by":"publisher","DOI":"10.1142\/S1230161212500229"},{"key":"p_17","doi-asserted-by":"publisher","DOI":"10.1063\/1.4773161"},{"key":"p_18","doi-asserted-by":"publisher","DOI":"10.1063\/1.526000"},{"key":"p_19","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0078500"},{"key":"p_21","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2004.12.003"}],"container-title":["Open Systems &amp; Information Dynamics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S123016121450005X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T17:16:28Z","timestamp":1565111788000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S123016121450005X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,8,7]]},"references-count":11,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2014,8,7]]},"published-print":{"date-parts":[[2014,9]]}},"alternative-id":["10.1142\/S123016121450005X"],"URL":"https:\/\/doi.org\/10.1142\/s123016121450005x","relation":{},"ISSN":["1230-1612","1793-7191"],"issn-type":[{"value":"1230-1612","type":"print"},{"value":"1793-7191","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,8,7]]}}}