Pub Date : 1900-01-01DOI: 10.1007/978-3-030-80771-9_9
S. Loos
{"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}
Pub Date : 1900-01-01DOI: 10.1007/978-3-030-80771-9_6
S. Loos
{"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}
Pub Date : 1900-01-01DOI: 10.1007/978-3-030-80771-9_7
S. Loos
{"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}
Pub Date : 1900-01-01DOI: 10.1142/9789811213007_0002
S. Loos
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.
{"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}
Pub Date : 1900-01-01DOI: 10.1007/978-3-030-80771-9_4
S. Loos
{"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}
Pub Date : 1900-01-01DOI: 10.1007/978-3-030-80771-9_10
S. Loos
{"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}
Pub Date : 1900-01-01DOI: 10.1007/978-3-030-80771-9_8
S. Loos
{"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}
Pub Date : 1900-01-01DOI: 10.1007/978-3-030-80771-9_5
S. Loos
{"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}
Pub Date : 1900-01-01DOI: 10.29172/0ac46efd0f434786a9988f9d0042ffd8
S. Loos
{"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}
Pub Date : 1900-01-01DOI: 10.1007/978-3-030-80771-9_12
S. Loos
{"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}
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