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Tunisian Journal of Mathematics最新文献

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A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields 卡诺群上Hardy不等式的一个简单证明和一些次椭圆向量场族的证明
IF 0.9
Tunisian Journal of Mathematics Pub Date : 2019-08-19 DOI: 10.2140/tunis.2020.2.851
Franccois Vigneron
{"title":"A simple proof of the Hardy inequality on Carnot groups and for some hypoelliptic families of vector fields","authors":"Franccois Vigneron","doi":"10.2140/tunis.2020.2.851","DOIUrl":"https://doi.org/10.2140/tunis.2020.2.851","url":null,"abstract":"We give an elementary proof of the classical Hardy inequality on any Carnot group, using only integration by parts and a fine analysis of the commutator structure, which was not deemed possible until now. We also discuss the conditions under which this technique can be generalized to deal with hypoelliptic families of vector fields, which, in this case, leads to an open problem regarding the symbol properties of the gauge norm.","PeriodicalId":36030,"journal":{"name":"Tunisian Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2019-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.2140/tunis.2020.2.851","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41894538","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
Homotopy theory of equivariant operads with fixed colors 固定颜色等变算子的同伦理论
IF 0.9
Tunisian Journal of Mathematics Pub Date : 2019-08-15 DOI: 10.2140/tunis.2022.4.87
P. Bonventre, L. Pereira
{"title":"Homotopy theory of equivariant operads with fixed colors","authors":"P. Bonventre, L. Pereira","doi":"10.2140/tunis.2022.4.87","DOIUrl":"https://doi.org/10.2140/tunis.2022.4.87","url":null,"abstract":"We build model structures on the category of equivariant simplicial operads with a fixed set of colors, with weak equivalences determined by families of subgroups. In particular, by specifying to the family of graph subgroups (or, more generally, one of the indexing systems of Blumberg-Hill), we obtain model structures on the category of equivariant simplicial operads with a fixed set of colors, with weak equivalences are determined by norm map data.","PeriodicalId":36030,"journal":{"name":"Tunisian Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2019-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43481495","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: 2
Limit theorems for Jacobi ensembles with large parameters 大参数Jacobi系综的极限定理
IF 0.9
Tunisian Journal of Mathematics Pub Date : 2019-05-20 DOI: 10.2140/tunis.2021.3.843
K. Hermann, M. Voit
{"title":"Limit theorems for Jacobi ensembles with large parameters","authors":"K. Hermann, M. Voit","doi":"10.2140/tunis.2021.3.843","DOIUrl":"https://doi.org/10.2140/tunis.2021.3.843","url":null,"abstract":"Consider Jacobi random matrix ensembles with the distributions $$c_{k_1,k_2,k_3}prod_{1leq i -1leq x_1le ...le x_Nleq 1}.$$ For $(k_1,k_2,k_3)=kappacdot (a,b,1)$ with $a,b>0$ fixed, we derive a central limit theorem for the distributions above for $kappatoinfty$. The drift and the inverse of the limit covariance matrix are expressed in terms of the zeros of classical Jacobi polynomials. We also rewrite the CLT in trigonometric form and determine the eigenvalues and eigenvectors of the limit covariance matrices. These results are related to corresponding limits for $beta$-Hermite and $beta$-Laguerre ensembles for $betatoinfty$ by Dumitriu and Edelman and by Voit.","PeriodicalId":36030,"journal":{"name":"Tunisian Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2019-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46610018","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: 8
Symplectic geometry of p-adic Teichmülleruniformization for ordinary nilpotent indigenous bundles 普通幂零原生束p进teichm<e:1>均匀化的辛几何
IF 0.9
Tunisian Journal of Mathematics Pub Date : 2019-05-08 DOI: 10.2140/tunis.2022.4.203
Y. Wakabayashi
{"title":"Symplectic geometry of p-adic Teichmüller\u0000uniformization for ordinary nilpotent indigenous bundles","authors":"Y. Wakabayashi","doi":"10.2140/tunis.2022.4.203","DOIUrl":"https://doi.org/10.2140/tunis.2022.4.203","url":null,"abstract":"The aim of the present paper is to provide a new aspect of the $p$-adic Teichmuller theory established by S. Mochizuki. We study the symplectic geometry of the $p$-adic formal stacks $widehat{mathcal{M}}_{g, mathbb{Z}_p}$ (= the moduli classifying $p$-adic formal curves of fixed genus $g>1$) and $widehat{mathcal{S}}_{g, mathbb{Z}_p}$ (= the moduli classifying $p$-adic formal curves of genus $g$ equipped with an indigenous bundle). A major achievement in the (classical) $p$-adic Teichmuller theory is the construction of the locus $widehat{mathcal{N}}_{g, mathbb{Z}_p}^{mathrm{ord}}$ in $widehat{mathcal{S}}_{g, mathbb{Z}_p}$ classifying $p$-adic canonical liftings of ordinary nilpotent indigenous bundles. The formal stack $widehat{mathcal{N}}_{g, mathbb{Z}_p}^{mathrm{ord}}$ embodies a $p$-adic analogue of uniformization of hyperbolic Riemann surfaces, as well as a hyperbolic analogue of Serre-Tate theory of ordinary abelian varieties. In the present paper, the canonical symplectic structure on the cotangent bundle $T^vee_{mathbb{Z}_p} widehat{mathcal{M}}_{g, mathbb{Z}_p}$ of $widehat{mathcal{M}}_{g, mathbb{Z}_p}$ is compared to Goldman's symplectic structure defined on $widehat{mathcal{S}}_{g, mathbb{Z}_p}$ after base-change by the projection $widehat{mathcal{N}}_{g, mathbb{Z}_p}^{mathrm{ord}} rightarrow widehat{mathcal{M}}_{g, mathbb{Z}_p}$. We can think of this comparison as a $p$-adic analogue of certain results in the theory of projective structures on Riemann surfaces proved by S. Kawai and other mathematicians.","PeriodicalId":36030,"journal":{"name":"Tunisian Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2019-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44026996","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
On the irreducibility of some induced representations of real reductive Lie groups 实约李群的一些诱导表示的不可约性
IF 0.9
Tunisian Journal of Mathematics Pub Date : 2019-01-01 DOI: 10.2140/TUNIS.2019.1.73
W. Gan, Atsushi Ichino
{"title":"On the irreducibility of some induced representations of real reductive Lie groups","authors":"W. Gan, Atsushi Ichino","doi":"10.2140/TUNIS.2019.1.73","DOIUrl":"https://doi.org/10.2140/TUNIS.2019.1.73","url":null,"abstract":"","PeriodicalId":36030,"journal":{"name":"Tunisian Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.2140/TUNIS.2019.1.73","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49219077","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: 4
Welcome to the Tunisian Journal of Mathematics 欢迎来到突尼斯数学杂志
IF 0.9
Tunisian Journal of Mathematics Pub Date : 2019-01-01 DOI: 10.2140/TUNIS.2019.1.1
A. Abbes, A. Baklouti
{"title":"Welcome to the Tunisian Journal of Mathematics","authors":"A. Abbes, A. Baklouti","doi":"10.2140/TUNIS.2019.1.1","DOIUrl":"https://doi.org/10.2140/TUNIS.2019.1.1","url":null,"abstract":"","PeriodicalId":36030,"journal":{"name":"Tunisian Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.2140/TUNIS.2019.1.1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68571112","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
Local estimates for Hörmander’s operatorswith Gevrey coefficients and application to the regularity of their Gevreyvectors 具有Gevrey系数的Hörmander算子的局部估计及其Gevrey向量正则性的应用
IF 0.9
Tunisian Journal of Mathematics Pub Date : 2019-01-01 DOI: 10.2140/TUNIS.2019.1.321
M. Derridj
{"title":"Local estimates for Hörmander’s operators\u0000with Gevrey coefficients and application to the regularity of their Gevrey\u0000vectors","authors":"M. Derridj","doi":"10.2140/TUNIS.2019.1.321","DOIUrl":"https://doi.org/10.2140/TUNIS.2019.1.321","url":null,"abstract":"","PeriodicalId":36030,"journal":{"name":"Tunisian Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.2140/TUNIS.2019.1.321","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68571572","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: 6
Geometric origin and some properties of the arctangential heat equation 切向热方程的几何起源和一些性质
IF 0.9
Tunisian Journal of Mathematics Pub Date : 2019-01-01 DOI: 10.2140/TUNIS.2019.1.561
Y. Brenier
{"title":"Geometric origin and some properties of the arctangential heat equation","authors":"Y. Brenier","doi":"10.2140/TUNIS.2019.1.561","DOIUrl":"https://doi.org/10.2140/TUNIS.2019.1.561","url":null,"abstract":"We establish the geometric origin ot the nonlinear heat equation with arct-angential nonlinearity: ∂ t D = ∆(arctan D) by deriving it, together and in du-ality with the mean curvature flow equation, from the minimal surface equation in Minkowski space-time, through a suitable quadratic change of time. After examining various properties of the arctangential heat equation (in particular through its optimal transport interpretation a la Otto and its relationship with the Born-Infeld theory of Electromagnetism), we shortly discuss its possible use for image processing, once written in non-conservative form and properly discretized.","PeriodicalId":36030,"journal":{"name":"Tunisian Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.2140/TUNIS.2019.1.561","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68571716","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
Saturated morphisms of logarithmic schemes 对数格式的饱和态射
IF 0.9
Tunisian Journal of Mathematics Pub Date : 2019-01-01 DOI: 10.2140/TUNIS.2019.1.185
Takeshi Tsuji
{"title":"Saturated morphisms of logarithmic schemes","authors":"Takeshi Tsuji","doi":"10.2140/TUNIS.2019.1.185","DOIUrl":"https://doi.org/10.2140/TUNIS.2019.1.185","url":null,"abstract":"","PeriodicalId":36030,"journal":{"name":"Tunisian Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.2140/TUNIS.2019.1.185","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68571388","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: 32
Grothendieck–Messing deformation theory forvarieties of K3 type K3型变形的Grothendieck-Messing变形理论
IF 0.9
Tunisian Journal of Mathematics Pub Date : 2019-01-01 DOI: 10.2140/TUNIS.2019.1.455
A. Langer, T. Zink
{"title":"Grothendieck–Messing deformation theory for\u0000varieties of K3 type","authors":"A. Langer, T. Zink","doi":"10.2140/TUNIS.2019.1.455","DOIUrl":"https://doi.org/10.2140/TUNIS.2019.1.455","url":null,"abstract":"This is the final version. Available from Tunisian Mathematical Society / MSP via the DOI in this record.","PeriodicalId":36030,"journal":{"name":"Tunisian Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.2140/TUNIS.2019.1.455","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45960335","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: 9
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