{"title":"The Heat Flow Induced by a Discrete Delay","authors":"S. Loos","doi":"10.1007/978-3-030-80771-9_9","DOIUrl":"https://doi.org/10.1007/978-3-030-80771-9_9","url":null,"abstract":"","PeriodicalId":291068,"journal":{"name":"Stochastic Systems with Time Delay","volume":"100 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132372190","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":"Markovian Embedding—A New Derivation of the Fokker-Planck Hierarchy","authors":"S. Loos","doi":"10.1007/978-3-030-80771-9_6","DOIUrl":"https://doi.org/10.1007/978-3-030-80771-9_6","url":null,"abstract":"","PeriodicalId":291068,"journal":{"name":"Stochastic Systems with Time Delay","volume":"244 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114058673","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":"Force-Linearization Closure","authors":"S. Loos","doi":"10.1007/978-3-030-80771-9_7","DOIUrl":"https://doi.org/10.1007/978-3-030-80771-9_7","url":null,"abstract":"","PeriodicalId":291068,"journal":{"name":"Stochastic Systems with Time Delay","volume":"297 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122945094","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":"Fokker-Planck Equations","authors":"S. Loos","doi":"10.1142/9789811213007_0002","DOIUrl":"https://doi.org/10.1142/9789811213007_0002","url":null,"abstract":"In the preceding chapter, we have introduced the Langevin equation, which describes the random processes studied in this thesis on a stochastic level. For Markovian systems, it is well known that Fokker-Planck equations (FPE) provide a complementary way of description, on the probabilistic level. These are deterministic equations, whose solutions are probability density functions. In the following, we will briefly introduce this concept, first focusing on the Markovian case.","PeriodicalId":291068,"journal":{"name":"Stochastic Systems with Time Delay","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130941398","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":"Stochastic Thermodynamics","authors":"S. Loos","doi":"10.1007/978-3-030-80771-9_4","DOIUrl":"https://doi.org/10.1007/978-3-030-80771-9_4","url":null,"abstract":"","PeriodicalId":291068,"journal":{"name":"Stochastic Systems with Time Delay","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124411045","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":"Entropy, Information and Energy Flows","authors":"S. Loos","doi":"10.1007/978-3-030-80771-9_10","DOIUrl":"https://doi.org/10.1007/978-3-030-80771-9_10","url":null,"abstract":"","PeriodicalId":291068,"journal":{"name":"Stochastic Systems with Time Delay","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125320590","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":"Approximation for the Two-time Probability density","authors":"S. Loos","doi":"10.1007/978-3-030-80771-9_8","DOIUrl":"https://doi.org/10.1007/978-3-030-80771-9_8","url":null,"abstract":"","PeriodicalId":291068,"journal":{"name":"Stochastic Systems with Time Delay","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130516931","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":"Infinite Fokker-Planck Hierarchy","authors":"S. Loos","doi":"10.1007/978-3-030-80771-9_5","DOIUrl":"https://doi.org/10.1007/978-3-030-80771-9_5","url":null,"abstract":"","PeriodicalId":291068,"journal":{"name":"Stochastic Systems with Time Delay","volume":"49 19","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"113934103","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":"The Langevin Equation","authors":"S. Loos","doi":"10.29172/0ac46efd0f434786a9988f9d0042ffd8","DOIUrl":"https://doi.org/10.29172/0ac46efd0f434786a9988f9d0042ffd8","url":null,"abstract":"","PeriodicalId":291068,"journal":{"name":"Stochastic Systems with Time Delay","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123321697","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":"Outlook—Open Questions and Further Perspectives","authors":"S. Loos","doi":"10.1007/978-3-030-80771-9_12","DOIUrl":"https://doi.org/10.1007/978-3-030-80771-9_12","url":null,"abstract":"","PeriodicalId":291068,"journal":{"name":"Stochastic Systems with Time Delay","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129939187","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}