{"title":"特殊Marcus-Lushnikov过程中巨分量的出现","authors":"D. Aldous","doi":"10.1002/(SICI)1098-2418(199803)12:2%3C179::AID-RSA2%3E3.0.CO;2-U","DOIUrl":null,"url":null,"abstract":"Author(s): Aldous, D | Abstract: Component sizes in the usual random graph process are a special case of the Marcus-Lushnikov process discussed in the scientific literature, so it is natural to ask how theory surrounding emergence of the giant component generalizes to the Marcus-Lushnikov process. Essentially no rigorous results are known; we make a start by proving a weak result, but our main purpose is to draw this topic to the attention of random graph theorists. © 1998 John Wiley a Sons, Inc. Random Struct. Alg., 12, 179-196, 1998.","PeriodicalId":303496,"journal":{"name":"Random Struct. Algorithms","volume":"10 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1998-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"25","resultStr":"{\"title\":\"Emergence of the giant component in special Marcus-Lushnikov processes\",\"authors\":\"D. Aldous\",\"doi\":\"10.1002/(SICI)1098-2418(199803)12:2%3C179::AID-RSA2%3E3.0.CO;2-U\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Author(s): Aldous, D | Abstract: Component sizes in the usual random graph process are a special case of the Marcus-Lushnikov process discussed in the scientific literature, so it is natural to ask how theory surrounding emergence of the giant component generalizes to the Marcus-Lushnikov process. Essentially no rigorous results are known; we make a start by proving a weak result, but our main purpose is to draw this topic to the attention of random graph theorists. © 1998 John Wiley a Sons, Inc. Random Struct. Alg., 12, 179-196, 1998.\",\"PeriodicalId\":303496,\"journal\":{\"name\":\"Random Struct. Algorithms\",\"volume\":\"10 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1998-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"25\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Random Struct. Algorithms\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1002/(SICI)1098-2418(199803)12:2%3C179::AID-RSA2%3E3.0.CO;2-U\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Random Struct. Algorithms","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1002/(SICI)1098-2418(199803)12:2%3C179::AID-RSA2%3E3.0.CO;2-U","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 25
Emergence of the giant component in special Marcus-Lushnikov processes
Author(s): Aldous, D | Abstract: Component sizes in the usual random graph process are a special case of the Marcus-Lushnikov process discussed in the scientific literature, so it is natural to ask how theory surrounding emergence of the giant component generalizes to the Marcus-Lushnikov process. Essentially no rigorous results are known; we make a start by proving a weak result, but our main purpose is to draw this topic to the attention of random graph theorists. © 1998 John Wiley a Sons, Inc. Random Struct. Alg., 12, 179-196, 1998.
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