{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:32Z","timestamp":1753893812054,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>We prove a variant of the abstract probabilistic version of Szemer\u00e9di's regularity lemma, due to Tao, which applies to a number of structures (including graphs, hypergraphs, hypercubes, graphons, and many more) and works for random variables in $L_p$ for any $p&gt;1$. Our approach is based on martingale difference sequences.<\/jats:p>","DOI":"10.37236\/5585","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T20:45:29Z","timestamp":1578689129000},"source":"Crossref","is-referenced-by-count":2,"title":["Szemer\u00e9di's Regularity Lemma via Martingales"],"prefix":"10.37236","volume":"23","author":[{"given":"Pandelis","family":"Dodos","sequence":"first","affiliation":[]},{"given":"Vassilis","family":"Kanellopoulos","sequence":"additional","affiliation":[]},{"given":"Thodoris","family":"Karageorgos","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2016,7,22]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v23i3p11\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v23i3p11\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T05:18:15Z","timestamp":1579238295000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v23i3p11"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,7,22]]},"references-count":0,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2016,7,8]]}},"URL":"https:\/\/doi.org\/10.37236\/5585","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2016,7,22]]},"article-number":"P3.11"}}