{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,22]],"date-time":"2026-01-22T15:40:49Z","timestamp":1769096449497,"version":"3.49.0"},"reference-count":20,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"5","license":[{"start":{"date-parts":[[1974,9,1]],"date-time":"1974-09-01T00:00:00Z","timestamp":147225600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[1974,9,1]],"date-time":"1974-09-01T00:00:00Z","timestamp":147225600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[1974,9,1]],"date-time":"1974-09-01T00:00:00Z","timestamp":147225600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[1974,9]]},"DOI":"10.1109\/tit.1974.1055287","type":"journal-article","created":{"date-parts":[[2004,4,27]],"date-time":"2004-04-27T14:27:04Z","timestamp":1083076024000},"page":"625-636","source":"Crossref","is-referenced-by-count":51,"title":["The ergodic decomposition of stationary discrete random processes"],"prefix":"10.1109","volume":"20","author":[{"given":"R.","family":"Gray","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"L.","family":"Davisson","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref10","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4684-9440-2","author":"halmos","year":"1950","journal-title":"Measure Theory"},{"key":"ref11","author":"billingsley","year":"1965","journal-title":"Ergodic Theory and Information"},{"key":"ref12","author":"khinchine","year":"1957","journal-title":"Mathematical Foundations of Information Theory"},{"key":"ref13","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1214\/aop\/1176997024","article-title":"An application of ergodic theory to probability theory","volume":"1","author":"ornstein","year":"1973","journal-title":"Ann Probability"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1972.1054830"},{"key":"ref15","author":"billingsley","year":"1968","journal-title":"Convergence of Probability Measures[M]"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1214\/aop\/1176996402"},{"key":"ref17","author":"jacobs","year":"1963","journal-title":"Ergodic Theory"},{"key":"ref18","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1215\/ijm\/1255629827","article-title":"On the integral representation of the rate of transmission of a stationary channel","volume":"5","author":"parthasarathy","year":"1961","journal-title":"Ill J Math"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1975.1055439"},{"key":"ref4","article-title":"On the fundamental ideas of measure theory","author":"rokhlin","year":"1952","journal-title":"Transactions of the American Mathematical Society"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.2307\/1968511"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1974.1055248"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1070\/RM1967v022n05ABEH001224"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177706899"},{"key":"ref7","author":"gallager","year":"1968","journal-title":"Information Theory and Reliable Communication"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.2307\/1968537"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1973.1055092"},{"key":"ref9","author":"breimann","year":"1968","journal-title":"Probability"},{"key":"ref20","author":"rozanov","year":"1967","journal-title":"Stationary Random Processes"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx5\/18\/22680\/01055287.pdf?arnumber=1055287","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,9]],"date-time":"2025-07-09T23:17:19Z","timestamp":1752103039000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/1055287\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1974,9]]},"references-count":20,"journal-issue":{"issue":"5"},"URL":"https:\/\/doi.org\/10.1109\/tit.1974.1055287","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"value":"0018-9448","type":"print"},{"value":"1557-9654","type":"electronic"}],"subject":[],"published":{"date-parts":[[1974,9]]}}}