{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,4,1]],"date-time":"2024-04-01T17:52:19Z","timestamp":1711993939789},"reference-count":8,"publisher":"Cambridge University Press (CUP)","issue":"1","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":741,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[2012,3]]},"abstract":"Abstract<\/jats:title>This work builds on previous papers by Hrushovski, Pillay and the author where Keisler measures over NIP<\/jats:italic> theories are studied. We discuss two constructions for obtaining generically stable measures in this context. First, we show how to symmetrize an arbitrary invariant measure to obtain a generically stable one from it. Next, we show that suitable sigma-additive probability measures give rise to generically stable Keisler measures. Also included is a proof that generically stable measures over o-minimal theories and the p-adics are smooth.<\/jats:p>","DOI":"10.2178\/jsl\/1327068702","type":"journal-article","created":{"date-parts":[[2012,1,20]],"date-time":"2012-01-20T09:16:13Z","timestamp":1327050973000},"page":"263-278","source":"Crossref","is-referenced-by-count":4,"title":["Finding generically stable measures"],"prefix":"10.1017","volume":"77","author":[{"given":"Pierre","family":"Simon","sequence":"first","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S002248120000102X_ref006","unstructured":"Simon Pierre , Distal and non-distal theories, 2011."},{"key":"S002248120000102X_ref005","first-page":"265","article-title":"Classification theory for elementary classes with the dependence property\u2014a modest beginning","volume":"59","author":"Shelah","year":"2004","journal-title":"Scientiae Mathematicae Japonicae"},{"key":"S002248120000102X_ref002","doi-asserted-by":"publisher","DOI":"10.1090\/S0894-0347-07-00558-9"},{"key":"S002248120000102X_ref001","unstructured":"Hrushovsk Ehud , Pillay Anand , and Simon Pierre , Generically stable and smooth measures in NIP theories, Submitted."},{"key":"S002248120000102X_ref008","unstructured":"Yaacov Ita\u00ef Ben , Transfer of properties between measures and random types, in preparation, 2009."},{"key":"S002248120000102X_ref007","doi-asserted-by":"publisher","DOI":"10.1007\/s11856-009-0094-x"},{"key":"S002248120000102X_ref003","doi-asserted-by":"publisher","DOI":"10.4171\/JEMS\/274"},{"key":"S002248120000102X_ref004","doi-asserted-by":"publisher","DOI":"10.1016\/0168-0072(87)90069-8"}],"container-title":["The Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S002248120000102X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,25]],"date-time":"2019-04-25T20:56:43Z","timestamp":1556225803000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S002248120000102X\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,3]]},"references-count":8,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,3]]}},"alternative-id":["S002248120000102X"],"URL":"https:\/\/doi.org\/10.2178\/jsl\/1327068702","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,3]]}}}