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Bulletin of the Institute of Mathematics Academia Sinica New Series最新文献

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On the $D$-isometric deformation of Kenmotsu manifolds and biharmonic maps Kenmotsu流形与双调和映射的D -等距变形
IF 0.2
Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2022-06-01 DOI: 10.21915/bimas.2022204
Smail Chemikh, D. Behloul, S. Ouakkas
{"title":"On the $D$-isometric deformation of Kenmotsu manifolds and biharmonic maps","authors":"Smail Chemikh, D. Behloul, S. Ouakkas","doi":"10.21915/bimas.2022204","DOIUrl":"https://doi.org/10.21915/bimas.2022204","url":null,"abstract":"In this paper, we introduce a D -isometric deformation of almost contact metric manifold where we give some new results of this type of deformation, the harmonicity and the biharmonicity of the identity map are characterized by using this deformation.","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"5 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74764401","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}
引用次数: 0
High dimensional statistics: Quadratic error in the local linear estimation of the relative regression 高维统计:相对回归的局部线性估计中的二次误差
IF 0.2
Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2022-06-01 DOI: 10.21915/bimas.2022206
Oussama Bouanani, Mustapha Rachdi, Saâdia Rahmani
{"title":"High dimensional statistics: Quadratic error in the local linear estimation of the relative regression","authors":"Oussama Bouanani, Mustapha Rachdi, Saâdia Rahmani","doi":"10.21915/bimas.2022206","DOIUrl":"https://doi.org/10.21915/bimas.2022206","url":null,"abstract":"In this paper, we use the mean squared relative error as a loss function to construct a local linear estimator of the regression operator. More precisely, we consider n pairs of independent random variables ( X i , Y i ) for i = 1 , . . . , n that we assume drawn from the pair ( X, Y ), which is valued in ( F , R ), where F is a semi-metric space equipped with the semi-metric d . Under some standard assumptions, we give the convergence rate in mean square of the constructed estimator. The usefulness of the estimator is highlighted through the exact expression involved in the leading terms of the quadratic error. Notice that this method is useful in analyzing data with positive responses, such as life times.","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"13 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84342415","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}
引用次数: 0
Solvability of solution of singular and degenerate fractional nonlinear parabolic Dirichlet problems 奇异和退化分数阶非线性抛物型Dirichlet问题解的可解性
IF 0.2
Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2022-03-01 DOI: 10.21915/bimas.2022104
Bourabta Ahmed, Oussaeif Taki-Eddine, Rezzoug Imad, Chebana Zainouba
{"title":"Solvability of solution of singular and degenerate fractional nonlinear parabolic Dirichlet problems","authors":"Bourabta Ahmed, Oussaeif Taki-Eddine, Rezzoug Imad, Chebana Zainouba","doi":"10.21915/bimas.2022104","DOIUrl":"https://doi.org/10.21915/bimas.2022104","url":null,"abstract":"","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"17 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87170581","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}
引用次数: 0
Consistency result of recursive conditional distribution estimate for dependent data under left truncation, with applications to the conditional quantile 左截断下相关数据递归条件分布估计的一致性结果，并应用于条件分位数
IF 0.2
Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2022-03-01 DOI: 10.21915/bimas.2022102
Fatima Benziadi, I. Bouazza
{"title":"Consistency result of recursive conditional distribution estimate for dependent data under left truncation, with applications to the conditional quantile","authors":"Fatima Benziadi, I. Bouazza","doi":"10.21915/bimas.2022102","DOIUrl":"https://doi.org/10.21915/bimas.2022102","url":null,"abstract":"","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"49 22 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79767640","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}
引用次数: 0
Asymptotic expansion of the Bergman kernel via semi-classical symbolic calculus 半经典符号微积分的Bergman核渐近展开式
IF 0.2
Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2022-03-01 DOI: 10.21915/bimas.2022101
Yuanyuan Hou
{"title":"Asymptotic expansion of the Bergman kernel via semi-classical symbolic calculus","authors":"Yuanyuan Hou","doi":"10.21915/bimas.2022101","DOIUrl":"https://doi.org/10.21915/bimas.2022101","url":null,"abstract":"","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"56 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82095343","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}
引用次数: 3
A priori estimate and numerical study of solution for a parabolic equation with nonlinear integral condition 具有非线性积分条件的抛物型方程解的先验估计与数值研究
IF 0.2
Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2022-03-01 DOI: 10.21915/bimas.2022103
Chebana Zainouba, Oussaeif Taki-Eddine, Dehilis Sofiane, Leila Benaoua
{"title":"A priori estimate and numerical study of solution for a parabolic equation with nonlinear integral condition","authors":"Chebana Zainouba, Oussaeif Taki-Eddine, Dehilis Sofiane, Leila Benaoua","doi":"10.21915/bimas.2022103","DOIUrl":"https://doi.org/10.21915/bimas.2022103","url":null,"abstract":"","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"27 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77043765","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}
引用次数: 0
Existence of relaxed optimal control for $G$-neutral stochastic functional differential equations with uncontrolled diffusion 无控制扩散的G中立型随机泛函微分方程松弛最优控制的存在性
IF 0.2
Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2022-01-11 DOI: 10.21915/bimas.2022202
Nabil Elgroud, H. Boutabia, A. Redjil, O. Kebiri
{"title":"Existence of relaxed optimal control for $G$-neutral stochastic functional differential equations with uncontrolled diffusion","authors":"Nabil Elgroud, H. Boutabia, A. Redjil, O. Kebiri","doi":"10.21915/bimas.2022202","DOIUrl":"https://doi.org/10.21915/bimas.2022202","url":null,"abstract":"In this paper, we study under refined Lipschitz hypothesis, the question of existence and uniqueness of solution of controlled neutral stochastic functional differential equations driven by G -Brownian motion ( G -NSFDEs in short). An existence of a relaxed optimal control where the neutral and diffusion terms do not depend on the control variable was the main result of the article. The latter is done by using tightness techniques and the weak convergence techniques for each probability measure in the set of all possible probabilities of our dynamic. A motivation of our work is presented and a numerical analysis for the uncontrolled G -NSFDE is given.","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"238 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2022-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74696931","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}
引用次数: 1
A New Approach to Stochastic Integration with Respect to Fractional Brownian Motion for No Adapted Processes 无自适应过程分数阶布朗运动随机积分的新方法
IF 0.2
Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2021-12-01 DOI: 10.21915/bimas.2021403
Bachir Cherif Khalida, Kandouci Abdeldjebbar
{"title":"A New Approach to Stochastic Integration with Respect to Fractional Brownian Motion for No Adapted Processes","authors":"Bachir Cherif Khalida, Kandouci Abdeldjebbar","doi":"10.21915/bimas.2021403","DOIUrl":"https://doi.org/10.21915/bimas.2021403","url":null,"abstract":"","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"44 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74800958","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}
引用次数: 0
Existence results for higher order fractional differential equations with integral boundary conditions via Kuratowski measure of noncompactnes 基于非紧测度的高阶分数阶微分方程积分边界条件的存在性结果
IF 0.2
Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2021-12-01 DOI: 10.21915/bimas.2021401
Adel Lachouri, A. Ardjouni, N. Gouri, K. Khelil
{"title":"Existence results for higher order fractional differential equations with integral boundary conditions via Kuratowski measure of noncompactnes","authors":"Adel Lachouri, A. Ardjouni, N. Gouri, K. Khelil","doi":"10.21915/bimas.2021401","DOIUrl":"https://doi.org/10.21915/bimas.2021401","url":null,"abstract":"","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"47 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79872376","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}
引用次数: 0
Some Characteristics of the Conditional Set-Indexed Empirical Process Involving Functional Ergodic Data 涉及泛函遍历数据的条件集索引经验过程的若干特征
IF 0.2
Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2021-12-01 DOI: 10.21915/bimas.2021405
Youssouf Souddi, Fethi Madani, S. Bouzebda
{"title":"Some Characteristics of the Conditional Set-Indexed Empirical Process Involving Functional Ergodic Data","authors":"Youssouf Souddi, Fethi Madani, S. Bouzebda","doi":"10.21915/bimas.2021405","DOIUrl":"https://doi.org/10.21915/bimas.2021405","url":null,"abstract":"","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"94 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90700035","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}
引用次数: 0
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