{"title":"遍历定理","authors":"R. Bellman","doi":"10.1090/mbk/107/29","DOIUrl":null,"url":null,"abstract":"Abstract : The purpose of this note is to indicate how a simple lemma due originally to Fekete, and in generalized form to Polya-Szego, permits a simple derivation of some interesting ergodic theorems. We have already indicated some applications to dynamic programming.","PeriodicalId":423691,"journal":{"name":"100 Years of Math Milestones","volume":"17 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1960-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The ergodic theorem\",\"authors\":\"R. Bellman\",\"doi\":\"10.1090/mbk/107/29\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract : The purpose of this note is to indicate how a simple lemma due originally to Fekete, and in generalized form to Polya-Szego, permits a simple derivation of some interesting ergodic theorems. We have already indicated some applications to dynamic programming.\",\"PeriodicalId\":423691,\"journal\":{\"name\":\"100 Years of Math Milestones\",\"volume\":\"17 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1960-04-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"100 Years of Math Milestones\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1090/mbk/107/29\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"100 Years of Math Milestones","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/mbk/107/29","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Abstract : The purpose of this note is to indicate how a simple lemma due originally to Fekete, and in generalized form to Polya-Szego, permits a simple derivation of some interesting ergodic theorems. We have already indicated some applications to dynamic programming.
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