发布求助
文献互助 智能选刊 最新文献

Journal of Spectral Theory最新文献

筛选
英文 中文
Lieb–Thirring inequalities for an effective Hamiltonian of bilayer graphene 双层石墨烯有效哈密顿量的Lieb–Thirring不等式
IF 1 3区 数学
Journal of Spectral Theory Pub Date : 2019-10-09 DOI: 10.4171/JST/368
P. Briet, Jean-Claude Cuenin, L. Golinskii, S. Kupin
{"title":"Lieb–Thirring inequalities for an effective Hamiltonian of bilayer graphene","authors":"P. Briet, Jean-Claude Cuenin, L. Golinskii, S. Kupin","doi":"10.4171/JST/368","DOIUrl":"https://doi.org/10.4171/JST/368","url":null,"abstract":"Combining the methods of Cuenin [7] and Borichev-Golinskii-Kupin [4], [5], we obtain the so-called Lieb-Thirring inequalities for non-selfadjoint perturbations of an effective Hamiltonian for bilayer graphene.","PeriodicalId":48789,"journal":{"name":"Journal of Spectral Theory","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2019-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48430067","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Spectral isoperimetric inequalities for Robin Laplacians on 2-manifolds and unbounded cones Robin-Laplaceans在2-流形和无界锥上的谱等周不等式
IF 1 3区 数学
Journal of Spectral Theory Pub Date : 2019-09-24 DOI: 10.4171/jst/416
Magda Khalile, V. Lotoreichik
{"title":"Spectral isoperimetric inequalities for Robin Laplacians on 2-manifolds and unbounded cones","authors":"Magda Khalile, V. Lotoreichik","doi":"10.4171/jst/416","DOIUrl":"https://doi.org/10.4171/jst/416","url":null,"abstract":"We consider the problem of geometric optimization of the lowest eigenvalue for the Laplacian on a compact, simply-connected two-dimensional manifold with boundary subject to an attractive Robin boundary condition. We prove that in the sub-class of manifolds with the Gauss curvature bounded from above by a constant $K_circ ge 0$ and under the constraint of fixed perimeter, the geodesic disk of constant curvature $K_circ$ maximizes the lowest Robin eigenvalue. In the same geometric setting, it is proved that the spectral isoperimetric inequality holds for the lowest eigenvalue of the Dirichlet-to-Neumann operator. Finally, we adapt our methods to Robin Laplacians acting on unbounded three-dimensional cones to show that, under a constraint of fixed perimeter of the cross-section, the lowest Robin eigenvalue is maximized by the circular cone.","PeriodicalId":48789,"journal":{"name":"Journal of Spectral Theory","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2019-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46533425","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
Maximal estimates for the Fokker–Planck operator with magnetic field 磁场作用下Fokker-Planck算子的极大估计
IF 1 3区 数学
Journal of Spectral Theory Pub Date : 2019-09-20 DOI: 10.4171/JST/369
Zeinab Karaki
{"title":"Maximal estimates for the Fokker–Planck operator with magnetic field","authors":"Zeinab Karaki","doi":"10.4171/JST/369","DOIUrl":"https://doi.org/10.4171/JST/369","url":null,"abstract":"We consider the Fokker-Planck operator with a strong external magnetic field. We show a maximal type estimate on this operator using a nilpotent approach on vector field polynomial operators and including the notion of representation of a Lie algebra. This estimate makes it possible to give an optimal characterization of the domain of the closure of the considered operator.","PeriodicalId":48789,"journal":{"name":"Journal of Spectral Theory","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2019-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41741301","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Periodic Jacobi operators with complex coefficients 复系数周期Jacobi算子
IF 1 3区 数学
Journal of Spectral Theory Pub Date : 2019-09-19 DOI: 10.4171/JST/357
V. Papanicolaou
{"title":"Periodic Jacobi operators with complex coefficients","authors":"V. Papanicolaou","doi":"10.4171/JST/357","DOIUrl":"https://doi.org/10.4171/JST/357","url":null,"abstract":"We present certain results on the direct and inverse spectral theory of the Jacobi operator with complex periodic coefficients. For instance, we show that any $N$-th degree polynomial whose leading coefficient is $(-1)^N$ is the Hill discriminant of finitely many discrete $N$-periodic Schr\"{o}dinger operators (Theorem 1). Also, in the case where the spectrum is a closed interval we prove a result (Theorem 5) which is the analog of Borg's Theorem for the non-self-adjoint Jacobi case.","PeriodicalId":48789,"journal":{"name":"Journal of Spectral Theory","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2019-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41921067","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Existence of metrics maximizing the first eigenvalue on non-orientable surfaces 不可定向曲面上第一特征值最大化度量的存在性
IF 1 3区 数学
Journal of Spectral Theory Pub Date : 2019-09-08 DOI: 10.4171/jst/372
Henrik Matthiesen, Anna Siffert
{"title":"Existence of metrics maximizing the first eigenvalue on non-orientable surfaces","authors":"Henrik Matthiesen, Anna Siffert","doi":"10.4171/jst/372","DOIUrl":"https://doi.org/10.4171/jst/372","url":null,"abstract":"We prove the existence of metrics maximizing the first eigenvalue normalized by area on closed, non-orientable surfaces assuming two spectral gap conditions. These spectral gap conditions are proved by the authors in cite{MS3}.","PeriodicalId":48789,"journal":{"name":"Journal of Spectral Theory","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2019-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43876971","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
Spectral analysis of 2D outlier layout 二维异常点布局的谱分析
IF 1 3区 数学
Journal of Spectral Theory Pub Date : 2019-08-30 DOI: 10.4171/JST/358
M. Putinar
{"title":"Spectral analysis of 2D outlier layout","authors":"M. Putinar","doi":"10.4171/JST/358","DOIUrl":"https://doi.org/10.4171/JST/358","url":null,"abstract":"Thompson's partition of a cyclic subnormal operator into normal and completely non-normal components is combined with a non-commutative calculus for hyponormal operators for separating outliers from the cloud, in rather general point distributions in the plane. The main result provides exact transformation formulas from the power moments of the prescribed point distribution into the moments of the uniform mass carried by the cloud. The proposed algorithm solely depends on the Hessenberg matrix associated to the original data. The robustness of the algorithm is reflected by the insensitivity of the output under trace class, or by a theorem of Voiculescu, under certain Hilbert-Schmidt class, additive perturbations of the Hessenberg matrix.","PeriodicalId":48789,"journal":{"name":"Journal of Spectral Theory","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2019-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44530116","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Ergodic Schrödinger operators in the infinite measure setting 无限测度集中的Ergodic Schrödinger算子
IF 1 3区 数学
Journal of Spectral Theory Pub Date : 2019-07-29 DOI: 10.4171/JST/360
M. Boshernitzan, D. Damanik, J. Fillman, Milivoje Luki'c
{"title":"Ergodic Schrödinger operators in the infinite measure setting","authors":"M. Boshernitzan, D. Damanik, J. Fillman, Milivoje Luki'c","doi":"10.4171/JST/360","DOIUrl":"https://doi.org/10.4171/JST/360","url":null,"abstract":"We develop the basic theory of ergodic Schrodinger operators, which is well known for ergodic probability measures, in the case of a base dynamics on an infinite measure space. This includes the almost sure constancy of the spectrum and the spectral type, the definition and discussion of the density of states measure and the Lyapunov exponent, as well as a version of the Pastur--Ishii theorem. We also give some counterexamples that demonstrate that some results do not extend from the finite measure case to the infinite measure case. These examples are based on some constructions in infinite ergodic theory that may be of independent interest.","PeriodicalId":48789,"journal":{"name":"Journal of Spectral Theory","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2019-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45062780","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Maximizing the ratio of eigenvalues of non-homogeneous partially hinged plates 最大化非均匀部分铰接板的特征值比率
IF 1 3区 数学
Journal of Spectral Theory Pub Date : 2019-07-24 DOI: 10.4171/JST/355
E. Berchio, A. Falocchi
{"title":"Maximizing the ratio of eigenvalues of non-homogeneous partially hinged plates","authors":"E. Berchio, A. Falocchi","doi":"10.4171/JST/355","DOIUrl":"https://doi.org/10.4171/JST/355","url":null,"abstract":"We study the spectrum of non-homogeneous partially hinged plates having structural engineering applications. A possible way to prevent instability phenomena is to maximize the ratio between the frequencies of certain oscillating modes with respect to the density function of the plate; we prove existence of optimal densities and we investigate their analytic expression. This analysis suggests where to locate reinforcing material within the plate; some numerical experiments give further information and support the theoretical results.","PeriodicalId":48789,"journal":{"name":"Journal of Spectral Theory","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2019-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47951962","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 8
A semiclassical Birkhoff normal form for symplectic magnetic wells 辛磁井的半经典Birkhoff范式
IF 1 3区 数学
Journal of Spectral Theory Pub Date : 2019-07-08 DOI: 10.4171/jst/406
L'eo Morin
{"title":"A semiclassical Birkhoff normal form for symplectic magnetic wells","authors":"L'eo Morin","doi":"10.4171/jst/406","DOIUrl":"https://doi.org/10.4171/jst/406","url":null,"abstract":"In this paper we construct a Birkhoff normal form for a semiclassical magnetic Schr{o}dinger operator with non-degenerate magnetic field, and discrete magnetic well, defined on an even dimensional riemannian manifold M. We use this normal form to get an expansion of the first eigenvalues in powers of h^{1/2}, and semiclassical Weyl asymptotics for this operator.","PeriodicalId":48789,"journal":{"name":"Journal of Spectral Theory","volume":"83 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2019-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41258285","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 11
Szegő’s theorem for canonical systems: the Arov gauge and a sum rule 正则系统的塞格定理:Arov规范和求和规则
IF 1 3区 数学
Journal of Spectral Theory Pub Date : 2019-07-07 DOI: 10.4171/jst/371
D. Damanik, B. Eichinger, P. Yuditskii
{"title":"Szegő’s theorem for canonical systems: the Arov gauge and a sum rule","authors":"D. Damanik, B. Eichinger, P. Yuditskii","doi":"10.4171/jst/371","DOIUrl":"https://doi.org/10.4171/jst/371","url":null,"abstract":"We consider canonical systems and investigate the Szegő class, which is defined via the finiteness of the associated entropy functional. Noting that the canonical system may be studied in a variety of gauges, we choose to work in the Arov gauge, in which we prove that the entropy integral is equal to an integral involving the coefficients of the canonical system. This sum rule provides a spectral theory gem in the sense proposed by Barry Simon.","PeriodicalId":48789,"journal":{"name":"Journal of Spectral Theory","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2019-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41428257","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
首页 上一页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信