{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,5]],"date-time":"2022-04-05T11:39:33Z","timestamp":1649158773225},"reference-count":0,"publisher":"Cambridge University Press (CUP)","issue":"3","license":[{"start":{"date-parts":[[2001,6,25]],"date-time":"2001-06-25T00:00:00Z","timestamp":993427200000},"content-version":"unspecified","delay-in-days":55,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Combinator. Probab. Comp."],"published-print":{"date-parts":[[2001,5]]},"abstract":"<jats:p>For each integer <jats:italic>n<\/jats:italic>, there is a natural family of probability distributions on the set of \ntopologies on a set of <jats:italic>n<\/jats:italic> elements, parametrized by an integer variable, <jats:italic>m<\/jats:italic>. We will describe \nhow these are constructed and analysed, and find threshold functions (for <jats:italic>m<\/jats:italic> in terms of <jats:italic>n<\/jats:italic>) \nfor various topological properties; we focus attention on connectivity and the size of the \nlargest component.<\/jats:p>","DOI":"10.1017\/s0963548301004680","type":"journal-article","created":{"date-parts":[[2002,7,27]],"date-time":"2002-07-27T13:19:50Z","timestamp":1027775990000},"page":"239-249","source":"Crossref","is-referenced-by-count":0,"title":["Random Finite Topologies and their Thresholds"],"prefix":"10.1017","volume":"10","author":[{"given":"C. F.","family":"MACLEAN","sequence":"first","affiliation":[]},{"given":"NEIL","family":"O'CONNELL","sequence":"additional","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2001,6,25]]},"container-title":["Combinatorics, Probability and Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0963548301004680","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,3,31]],"date-time":"2019-03-31T19:06:30Z","timestamp":1554059190000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0963548301004680\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,5]]},"references-count":0,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2001,5]]}},"alternative-id":["S0963548301004680"],"URL":"https:\/\/doi.org\/10.1017\/s0963548301004680","relation":{},"ISSN":["0963-5483","1469-2163"],"issn-type":[{"value":"0963-5483","type":"print"},{"value":"1469-2163","type":"electronic"}],"subject":[],"published":{"date-parts":[[2001,5]]}}}