{"title":"A Great Discovery—And a Mistake","authors":"","doi":"10.2307/j.ctv173f0n4.5","DOIUrl":"https://doi.org/10.2307/j.ctv173f0n4.5","url":null,"abstract":"","PeriodicalId":446013,"journal":{"name":"Celestial Encounters","volume":"4 3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130454212","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Collisions and Other Singularities","authors":"","doi":"10.2307/j.ctv173f0n4.7","DOIUrl":"https://doi.org/10.2307/j.ctv173f0n4.7","url":null,"abstract":"","PeriodicalId":446013,"journal":{"name":"Celestial Encounters","volume":"355 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122801258","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper provides an introduction to dynamical systems and topological dynamics: how a system's configurations change over time, and specifically, how similar initial states grow dissimilar. Here, we focus on symbolic dynamics, a type of dynamical system, and how they can model other systems using Markov partitions. We end with a quantitative measure of complexity: topological entropy.
{"title":"Symbolic Dynamics","authors":"Aaron Geelon So","doi":"10.2307/j.ctv173f0n4.6","DOIUrl":"https://doi.org/10.2307/j.ctv173f0n4.6","url":null,"abstract":"This paper provides an introduction to dynamical systems and topological dynamics: how a system's configurations change over time, and specifically, how similar initial states grow dissimilar. Here, we focus on symbolic dynamics, a type of dynamical system, and how they can model other systems using Markov partitions. We end with a quantitative measure of complexity: topological entropy.","PeriodicalId":446013,"journal":{"name":"Celestial Encounters","volume":"62 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114813399","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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