{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,19]],"date-time":"2024-09-19T15:07:10Z","timestamp":1726758430158},"reference-count":14,"publisher":"Cambridge University Press (CUP)","issue":"6","license":[{"start":{"date-parts":[[2007,11,1]],"date-time":"2007-11-01T00:00:00Z","timestamp":1193875200000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Combinator. Probab. Comp."],"published-print":{"date-parts":[[2007,11]]},"abstract":"<jats:p>A simple explicit construction is provided of a partition-valued fragmentation process whose distribution on partitions of [<jats:italic>n<\/jats:italic>] = 1,.\u00a0.\u00a0.,<jats:italic>n<\/jats:italic>at time \u03b8 \u2265 0 is governed by the Ewens sampling formula with parameter \u03b8. These partition-valued processes are exchangeable and consistent, as<jats:italic>n<\/jats:italic>varies. They can be derived by uniform sampling from a corresponding mass fragmentation process defined by cutting a unit interval at the points of a Poisson process with intensity \u03b8x<jats:sup>\u22121<\/jats:sup><jats:italic>d<\/jats:italic>x on\/mathbbR<jats:sub>+<\/jats:sub>, arranged to beintensifying as \u03b8 increases.<\/jats:p>","DOI":"10.1017\/s0963548306008352","type":"journal-article","created":{"date-parts":[[2007,1,4]],"date-time":"2007-01-04T18:32:03Z","timestamp":1167935523000},"page":"819-827","source":"Crossref","is-referenced-by-count":9,"title":["Poisson Representation of a Ewens Fragmentation Process"],"prefix":"10.1017","volume":"16","author":[{"given":"ALEXANDER","family":"GNEDIN","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"JIM","family":"PITMAN","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2007,11,1]]},"reference":[{"key":"S0963548306008352_ref5","doi-asserted-by":"publisher","DOI":"10.1016\/S0246-0203(98)80015-0"},{"key":"S0963548306008352_ref9","first-page":"59","volume-title":"Combinatorial and Algorithmic Methods, Part 13","author":"Gnedin","year":"2005"},{"key":"S0963548306008352_ref1","doi-asserted-by":"crossref","DOI":"10.4171\/000","article-title":"Logarithmic Combinatorial Structures: A Probabilistic Approach","volume":"1","author":"Arratia","year":"2003","journal-title":"EMS Monographs in Mathematics"},{"key":"S0963548306008352_ref12","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.44.8361"},{"key":"S0963548306008352_ref10","doi-asserted-by":"publisher","DOI":"10.1137\/1127012"},{"key":"S0963548306008352_ref3","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511617768"},{"key":"S0963548306008352_ref4","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevC.49.2164"},{"key":"S0963548306008352_ref7","doi-asserted-by":"crossref","first-page":"12","DOI":"10.37236\/1869","article-title":"Regenerative partition structures","volume":"11","author":"Gnedin","year":"2004","journal-title":"Electron. J. Combin."},{"key":"S0963548306008352_ref8","doi-asserted-by":"publisher","DOI":"10.1214\/009117904000000801"},{"key":"S0963548306008352_ref6","doi-asserted-by":"publisher","DOI":"10.1017\/S0963548303005996"},{"key":"S0963548306008352_ref13","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.44.6294"},{"key":"S0963548306008352_ref11","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevC.45.1284"},{"key":"S0963548306008352_ref14","volume-title":"Lecture Notes in Mathematics","author":"Pitman","year":"2006"},{"key":"S0963548306008352_ref2","doi-asserted-by":"crossref","unstructured":"[2] Berestycki N. and Pitman J. (2006) Gibbs distributions for random partitions generated by a fragmentation process. J. Stat. Phys.","DOI":"10.1007\/s10955-006-9261-1"}],"container-title":["Combinatorics, Probability and Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0963548306008352","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,5,10]],"date-time":"2023-05-10T08:02:57Z","timestamp":1683705777000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0963548306008352\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,11]]},"references-count":14,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2007,11]]}},"alternative-id":["S0963548306008352"],"URL":"https:\/\/doi.org\/10.1017\/s0963548306008352","relation":{},"ISSN":["0963-5483","1469-2163"],"issn-type":[{"value":"0963-5483","type":"print"},{"value":"1469-2163","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,11]]}}}