Pub Date : 1900-01-01DOI: 10.21711/217504322023/em3813
S. Luckhaus, A. Stevens
{"title":"A two level contagion process and its deterministic McKendrick limit with relevance for the Covid epidemic","authors":"S. Luckhaus, A. Stevens","doi":"10.21711/217504322023/em3813","DOIUrl":"https://doi.org/10.21711/217504322023/em3813","url":null,"abstract":"","PeriodicalId":359243,"journal":{"name":"Ensaios Matemáticos","volume":"24 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":"116255826","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: 10.21711/217504322005/em92
R. Hofstad
In these notes we give an extensive survey of the recent progress for critical spread-out oriented percolation above the upper critical dimension. We describe the main tools, which are the lace expansion and the inductive method. The lace expansion gives a recursion relation for the two-point functions involved, and the inductive method gives an inductive analysis of the arising recursion relation. These results apply also to self-avoiding walk. We further describe the scaling results for the oriented percolation higher-point functions, and compare these to their branching random walk analogues. Finally, we discuss the relations between scaling limits of critical branching models to super-processes, which are random measures evolving diffusively in time.
{"title":"Spread-out oriented percolation and related models above the upper critical dimension: induction and superprocesses","authors":"R. Hofstad","doi":"10.21711/217504322005/em92","DOIUrl":"https://doi.org/10.21711/217504322005/em92","url":null,"abstract":"In these notes we give an extensive survey of the recent progress for critical spread-out oriented percolation above the upper critical dimension. We describe the main tools, which are the lace expansion and the inductive method. The lace expansion gives a recursion relation for the two-point functions involved, and the inductive method gives an inductive analysis of the arising recursion relation. These results apply also to self-avoiding walk. We further describe the scaling results for the oriented percolation higher-point functions, and compare these to their branching random walk analogues. Finally, we discuss the relations between scaling limits of critical branching models to super-processes, which are random measures evolving diffusively in time.","PeriodicalId":359243,"journal":{"name":"Ensaios Matemáticos","volume":"34 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":"127778378","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: 10.21711/217504322008/em141
Abed Bounemoura
{"title":"Simplicité des groupes de transformations de surfaces","authors":"Abed Bounemoura","doi":"10.21711/217504322008/em141","DOIUrl":"https://doi.org/10.21711/217504322008/em141","url":null,"abstract":"","PeriodicalId":359243,"journal":{"name":"Ensaios Matemáticos","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":"129199287","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: 10.21711/217504321991/em32
Claus Doering, R. Mãné
{"title":"Corrigendum – The dynamics of inner functions","authors":"Claus Doering, R. Mãné","doi":"10.21711/217504321991/em32","DOIUrl":"https://doi.org/10.21711/217504321991/em32","url":null,"abstract":"","PeriodicalId":359243,"journal":{"name":"Ensaios Matemáticos","volume":"82 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":"133251825","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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