{"title":"Tensor weight structures and t-structures on the derived categories of schemes","authors":"U. Dubey, Gopinath Sahoo","doi":"10.5802/crmath.450","DOIUrl":"https://doi.org/10.5802/crmath.450","url":null,"abstract":"","PeriodicalId":395483,"journal":{"name":"Comptes Rendus. Mathématique","volume":"48 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127243050","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":"Transcendence of L(1,χ s )/Π in posit","authors":"Sixia Liu, Jia-Yan Yao","doi":"10.5802/crmath.493","DOIUrl":"https://doi.org/10.5802/crmath.493","url":null,"abstract":"","PeriodicalId":395483,"journal":{"name":"Comptes Rendus. Mathématique","volume":"193 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123389304","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}
. In this paper, we consider a general single species model in a heterogeneous environment of n patches ( n ≥ 2), where each patch follows a generalized logistic law. First, we prove the global stability of the model.Second,inthecaseofperfectmixing,i.e.whenthemigrationratetendstoinfinity,thetotalpopulation follows a generalized logistic law with a carrying capacity which in general is di ff erent from the sum of the n carrying capacities. Next, we give some properties of the total equilibrium population and we compute its derivative at no dispersal. In some particular cases, we determine the conditions under which fragmentation and migration can lead to a total equilibrium population which might be greater or smaller than the sum of the n carrying capacities. Finally, we study an example of two-patch model where the first patch follows a logistic law and the second a Richard’s law, we give a complete classification of the model parameter space as to whether dispersal is beneficial or detrimental to the sum of two carrying capacities.
.在本文中，我们考虑了由 n 个斑块（n ≥ 2）组成的异质环境中的一般单物种模型，其中每个斑块都遵循广义对数定律。首先，我们证明了模型的全局稳定性；其次，在完全混杂的情况下，即迁移率趋于无穷大时，总种群遵循广义对数定律，其承载力一般不同于 n 个承载力之和。接下来，我们给出了总平衡种群的一些特性，并计算了它在不扩散时的导数。在某些特殊情况下，我们会确定在哪些条件下，分化和迁移会导致总平衡种群数量大于或小于 n 个承载力之和。最后，我们研究了一个双斑块模型的例子，其中第一个斑块遵循逻辑定律，第二个斑块遵循理查德定律，我们对模型参数空间进行了完整的分类，以确定分散对两个承载力之和是有利还是有害。
{"title":"Generalized logistic equation on Networks","authors":"Bilel Elbetch","doi":"10.5802/crmath.460","DOIUrl":"https://doi.org/10.5802/crmath.460","url":null,"abstract":". In this paper, we consider a general single species model in a heterogeneous environment of n patches ( n ≥ 2), where each patch follows a generalized logistic law. First, we prove the global stability of the model.Second,inthecaseofperfectmixing,i.e.whenthemigrationratetendstoinfinity,thetotalpopulation follows a generalized logistic law with a carrying capacity which in general is di ff erent from the sum of the n carrying capacities. Next, we give some properties of the total equilibrium population and we compute its derivative at no dispersal. In some particular cases, we determine the conditions under which fragmentation and migration can lead to a total equilibrium population which might be greater or smaller than the sum of the n carrying capacities. Finally, we study an example of two-patch model where the first patch follows a logistic law and the second a Richard’s law, we give a complete classification of the model parameter space as to whether dispersal is beneficial or detrimental to the sum of two carrying capacities.","PeriodicalId":395483,"journal":{"name":"Comptes Rendus. Mathématique","volume":"43 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139358328","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":"Dimension reduction for maximum matchings and the Fastest Mixing Markov Chain","authors":"Vishesh Jain, H. Pham, T. Vuong","doi":"10.5802/crmath.447","DOIUrl":"https://doi.org/10.5802/crmath.447","url":null,"abstract":"","PeriodicalId":395483,"journal":{"name":"Comptes Rendus. Mathématique","volume":"48 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139358404","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}
We prove the existence of a genus-zero complete maximal map with a prescribed singularity set and an arbitrary number of simple and complete ends. We also discuss the conditions under which this maximal map can be made into a complete maxface.
{"title":"Genus Zero Complete Maximal Maps and Maxfaces with an Arbitrary Number of Ends","authors":"Pradip Kumar, Sai Rasmi Ranjan Mohanty","doi":"10.5802/crmath.525","DOIUrl":"https://doi.org/10.5802/crmath.525","url":null,"abstract":"We prove the existence of a genus-zero complete maximal map with a prescribed singularity set and an arbitrary number of simple and complete ends. We also discuss the conditions under which this maximal map can be made into a complete maxface.","PeriodicalId":395483,"journal":{"name":"Comptes Rendus. Mathématique","volume":"15 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139369869","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}
We force superclub with an arbitrary large value of cov($mathscr{M}$). We force tiltan with an arbitrary large value of add($mathscr{M}$). Finally, we obtain a negative square bracket relation from superclub.
{"title":"Tiltan and Superclub","authors":"S. Garti, S. Shelah","doi":"10.5802/crmath.434","DOIUrl":"https://doi.org/10.5802/crmath.434","url":null,"abstract":"We force superclub with an arbitrary large value of cov($mathscr{M}$). We force tiltan with an arbitrary large value of add($mathscr{M}$). Finally, we obtain a negative square bracket relation from superclub.","PeriodicalId":395483,"journal":{"name":"Comptes Rendus. Mathématique","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132937881","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 velocity diagram for traveling waves","authors":"M. Al Haj, R. Monneau","doi":"10.5802/crmath.433","DOIUrl":"https://doi.org/10.5802/crmath.433","url":null,"abstract":"","PeriodicalId":395483,"journal":{"name":"Comptes Rendus. Mathématique","volume":"48 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128295266","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":"Expression of concern from the editors in chief: “A Γ-convergence result for optimal design problems”","authors":"J. Coron, É. Ghys, L. Saint-Raymond","doi":"10.5802/crmath.466","DOIUrl":"https://doi.org/10.5802/crmath.466","url":null,"abstract":"","PeriodicalId":395483,"journal":{"name":"Comptes Rendus. Mathématique","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123900403","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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