Spectral Theory

Authors and titles for May 2024

[1] arXiv:2405.01135 (cross-list from math.SP) [cn-pdf, pdf, html, other]

Title: Characteristic determinants for a second order difference equation on the half-line arising in hydrodynamics Show Chinese title

Title: 半直线上的二阶差分方程的特征行列式，出现在流体力学中

Yuri Latushkin, Shibi Vasudevan

Comments: Continuation of the work done in arXiv:1901.01367v3 and arXiv:2401.14037;

Subjects: Spectral Theory (math.SP) ; Mathematical Physics (math-ph) ; Analysis of PDEs (math.AP)

[2] arXiv:2405.03335 (cross-list from math.SP) [cn-pdf, pdf, html, other]

Title: Spectral properties of the resolvent difference for singularly perturbed operators Show Chinese title

Title: 奇异扰动算子的预解差的谱性质

Grigori Rozenblum

Subjects: Spectral Theory (math.SP) ; Analysis of PDEs (math.AP)

[3] arXiv:2405.03469 (cross-list from math.SP) [cn-pdf, pdf, html, other]

Title: The spectral determinant for second order elliptic operators on the real line Show Chinese title

Title: 二阶椭圆算子在实直线上的谱行列式

Pedro Freitas, Jiří Lipovský

Comments: 16 pages, 3 figures

Subjects: Spectral Theory (math.SP)

[4] arXiv:2405.05907 (cross-list from math.SP) [cn-pdf, pdf, html, other]

Title: On the Ground State Energies of Discrete and Semiclassical Schrödinger Operators Show Chinese title

Title: 离散和半经典薛定谔算子的基态能量

Isabel Detherage, Nikhil Srivastava, Zachary Stier

Journal-ref: Pure Appl. Analysis 6 (2024) 955-976

Subjects: Spectral Theory (math.SP) ; Mathematical Physics (math-ph) ; Functional Analysis (math.FA)

[5] arXiv:2405.07118 (cross-list from math.SP) [cn-pdf, pdf, html, other]

Title: A two-point generalisation of the Agmon estimate for Schrödinger operators on connected graphs Show Chinese title

Title: Schrödinger 算子在连通图上的 Agmon 估计的两点推广

Yi C. Huang

Subjects: Spectral Theory (math.SP)

[6] arXiv:2405.07796 (cross-list from math.SP) [cn-pdf, pdf, html, other]

Title: Widom's conjecture: variance asymptotics and entropy bounds for counting statistics of free fermions Show Chinese title

Title: 威德姆猜想：自由费米子计数统计的方差渐进行为和熵界

Alix Deleporte, Gaultier Lambert

Subjects: Spectral Theory (math.SP) ; Mathematical Physics (math-ph) ; Probability (math.PR)

[7] arXiv:2405.07810 (cross-list from math.SP) [cn-pdf, pdf, html, other]

Title: Sharp localization on the first supercritical stratum for Liouville frequencies Show Chinese title

Title: 对于利乌维尔频率的第一超临界层的精确局部化

Rui Han

Subjects: Spectral Theory (math.SP) ; Mathematical Physics (math-ph) ; Dynamical Systems (math.DS)

[8] arXiv:2405.10009 (cross-list from math.SP) [cn-pdf, pdf, html, other]

Title: Dirac operators on the half-line: stability of spectrum and non-relativistic limit Show Chinese title

Title: 直线上的狄拉克算子：谱的稳定性与非相对论极限

David Kramar, David Krejcirik

Comments: 17 pages, 1 figure

Journal-ref: J. Math. Anal. Appl. 546 (2025) 129225

Subjects: Spectral Theory (math.SP) ; Mathematical Physics (math-ph) ; Analysis of PDEs (math.AP) ; Quantum Physics (quant-ph)

[9] arXiv:2405.12077 (cross-list from math.SP) [cn-pdf, pdf, html, other]

Title: Inequalities between Dirichlet and Neumann eigenvalues of the magnetic Laplacian Show Chinese title

Title: 磁拉普拉斯算子的狄利克雷和诺伊曼特征值之间的不等式

Vladimir Lotoreichik

Comments: 16 pages, 1 figure

Subjects: Spectral Theory (math.SP) ; Mathematical Physics (math-ph) ; Analysis of PDEs (math.AP)

[10] arXiv:2405.16354 (cross-list from math.SP) [cn-pdf, pdf, html, other]

Title: Universal lower bounds for Dirichlet eigenvalues Show Chinese title

Title: 狄利克雷特征值的普遍下界

Stefan Steinerberger

Subjects: Spectral Theory (math.SP)

[11] arXiv:2405.16389 (cross-list from math.SP) [cn-pdf, pdf, other]

Title: Decorrelation in Local Statistics for random operators Show Chinese title

Title: 局部统计量中随机算子的去相关性

M. Krishna

Comments: There is a major error in the paper that cannot be fixed at the moment.

Subjects: Spectral Theory (math.SP) ; Mathematical Physics (math-ph)

[12] arXiv:2405.16892 (cross-list from math.SP) [cn-pdf, pdf, html, other]

Title: Fractional Laplacian in V-shaped waveguide Show Chinese title

Title: V形波导中的分数阶拉普拉斯算子

Fedor Bakharev, Sergey Matveenko

Comments: 13 pages, 1 figure

Subjects: Spectral Theory (math.SP) ; Analysis of PDEs (math.AP)

[13] arXiv:2405.17715 (cross-list from math.SP) [cn-pdf, pdf, html, other]

Title: Modified Jost solutions of Schrödinger operators with locally $H^{-1}$ potentials Show Chinese title

Title: Schrödinger算子带有局部$H^{-1}$势的修正Jost解

Milivoje Lukić, Xingya Wang

Subjects: Spectral Theory (math.SP)

[14] arXiv:2405.18079 (cross-list from math.SP) [cn-pdf, pdf, html, other]

Title: On the (growing) gap between Dirichlet and Neumann eigenvalues Show Chinese title

Title: 关于狄利克雷和诺伊曼特征值之间的（增长）差距

Pedro Freitas, Miguel Gama

Comments: author added, some major changes to the text, and addition of some results, including the study of the case of the disk, 16 pages, one figure

Subjects: Spectral Theory (math.SP)

[15] arXiv:2405.18154 (cross-list from math.SP) [cn-pdf, pdf, other]

Title: On the Laplace operator with a weak magnetic field in exterior domains Show Chinese title

Title: 关于在外域中具有弱磁场的拉普拉斯算子

Ayman Kachmar, Vladimir Lotoreichik, Mikael Sundqvist

Comments: 24 pages

Subjects: Spectral Theory (math.SP) ; Mathematical Physics (math-ph) ; Analysis of PDEs (math.AP)

[16] arXiv:2405.19470 (cross-list from math.SP) [cn-pdf, pdf, html, other]

Title: On point spectrum of Jacobi matrices generated by iterations of quadratic polynomials Show Chinese title

Title: 关于由二次多项式迭代生成的雅可比矩阵的点谱

Benjamin Eichinger, Milivoje Lukić, Peter Yuditskii

Comments: This version corrects a mistake in v1

Subjects: Spectral Theory (math.SP)

[17] arXiv:2405.19938 (cross-list from math.SP) [cn-pdf, pdf, html, other]

Title: On the Uncertainty Principle for Metaplectic Transformations Show Chinese title

Title: 关于梅塔普利克变换的不确定性原理

Nicolas Lerner

Comments: 48 pages, 28 references

Subjects: Spectral Theory (math.SP)

[18] arXiv:2405.20050 (cross-list from math.SP) [cn-pdf, pdf, other]

Title: Stability of the second non trivial eigenvalue of the Neumann Laplacian Show Chinese title

Title: 诺伊曼拉普拉斯算子的第二个非平凡特征值的稳定性

Xin Liao

Comments: Last week I was informed of the same result of this paper has been published by Wang K, Wu H. A quantitative Bucur--Henrot inequality[J]. Mathematische Nachrichten, 2022, 29So the article has been deprecated

Subjects: Spectral Theory (math.SP)

[19] arXiv:2405.00782 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Rigged Dynamic Mode Decomposition: Data-Driven Generalized Eigenfunction Decompositions for Koopman Operators Show Chinese title

Title: 有界动态模式分解：Koopman 算子的数据驱动广义本征函数分解

Matthew J. Colbrook, Catherine Drysdale, Andrew Horning

Comments: final version, to appear in SIAM Journal on Applied Dynamical Systems

Subjects: Dynamical Systems (math.DS) ; Machine Learning (cs.LG) ; Numerical Analysis (math.NA) ; Optimization and Control (math.OC) ; Spectral Theory (math.SP)

[20] arXiv:2405.01357 (cross-list from math.FA) [cn-pdf, pdf, html, other]

Title: Schwarz-Pick type inequalities from an operator theoretical point of view Show Chinese title

Title: 从算子理论的角度出发的Schwarz-Pick型不等式

Catalin Badea, Axel Renard

Comments: 29 pages. Minor modifications. This version is close to the published one

Journal-ref: Journal of Mathematical Analysis and Applications, Volume 540, Issue 1,2024, 128578

Subjects: Functional Analysis (math.FA) ; Complex Variables (math.CV) ; Spectral Theory (math.SP)

[21] arXiv:2405.03046 (cross-list from math.FA) [cn-pdf, pdf, html, other]

Title: A note on the Huijsmans-de Pagter problem on finite dimensional ordered vector spaces Show Chinese title

Title: 关于有限维有序向量空间上的Huijsmans-de Pagter问题的一篇注记

Catalin Badea, Jochen Glück

Comments: 8 pages ; to appear in Analysis Mathematica

Subjects: Functional Analysis (math.FA) ; Spectral Theory (math.SP)

[22] arXiv:2405.03238 (cross-list from math-ph) [cn-pdf, pdf, html, other]

Title: Interface Modes in Honeycomb Topological Photonic Structures with Broken Reflection Symmetry Show Chinese title

Title: 蜂窝拓扑光子结构中破坏反射对称性的界面模式

Wei Li, Junshan Lin, Jiayu Qiu, Hai Zhang

Subjects: Mathematical Physics (math-ph) ; Analysis of PDEs (math.AP) ; Spectral Theory (math.SP) ; Optics (physics.optics)

[23] arXiv:2405.04438 (cross-list from quant-ph) [cn-pdf, pdf, html, other]

Title: Positivity and entanglement of polynomial Gaussian integral operators Show Chinese title

Title: 多项式高斯积分算子的正性和纠缠性

Richárd Balka, András Csordás, Gábor Homa

Comments: Minor modifications on version 2; final version. 32 pages, 2 figures, 1 table

Subjects: Quantum Physics (quant-ph) ; Mathematical Physics (math-ph) ; Spectral Theory (math.SP)

[24] arXiv:2405.05334 (cross-list from math.DS) [cn-pdf, pdf, html, other]

Title: Multiplicative Dynamic Mode Decomposition Show Chinese title

Title: 乘法动态模式分解

Nicolas Boullé, Matthew J. Colbrook

Comments: 24 pages, 13 figures. To appear in SIAM Journal on Applied Dynamical Systems

Subjects: Dynamical Systems (math.DS) ; Machine Learning (cs.LG) ; Numerical Analysis (math.NA) ; Optimization and Control (math.OC) ; Spectral Theory (math.SP)

[25] arXiv:2405.05517 (cross-list from math.DG) [cn-pdf, pdf, html, other]

Title: The rigidity of eigenfunctions' gradient estimates Show Chinese title

Title: 特征函数梯度估计的刚性

Guoyi Xu, Xiaolong Xue

Comments: to appear in Mathematische Zeitschrift

Journal-ref: Math. Z. Volume 309, article number 30, (2025)

Subjects: Differential Geometry (math.DG) ; Analysis of PDEs (math.AP) ; Spectral Theory (math.SP)

[26] arXiv:2405.05566 (cross-list from cs.IT) [cn-pdf, pdf, html, other]

Title: On predictors and filters for non-decaying unbounded continuous time signals Show Chinese title

Title: 关于非衰减无界连续时间信号的预测器和滤波器

Nikolai Dokuchaev

Comments: arXiv admin note: substantial text overlap with arXiv:2310.10316

Subjects: Information Theory (cs.IT) ; Functional Analysis (math.FA) ; Spectral Theory (math.SP)

[27] arXiv:2405.06091 (cross-list from math.CO) [cn-pdf, pdf, html, other]

Title: Limit points of (signless) Laplacian spectral radii of linear trees Show Chinese title

Title: 线性树的（无符号）拉普拉斯谱半径的极限点

Francesco Belardo, Elismar R. Oliveira, Vilmar Trevisan

Subjects: Combinatorics (math.CO) ; Spectral Theory (math.SP)

[28] arXiv:2405.06936 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Payne nodal set conjecture for the fractional $p$-Laplacian in Steiner symmetric domains Show Chinese title

Title: 佩恩节点集猜想在斯特伊纳对称区域中的分数阶$p$-拉普拉斯算子

Vladimir Bobkov, Sergey Kolonitskii

Comments: 22 pages, 3 figures

Subjects: Analysis of PDEs (math.AP) ; Spectral Theory (math.SP)

[29] arXiv:2405.07210 (cross-list from math.NA) [cn-pdf, pdf, html, other]

Title: A complete pair of solvents of a quadratic matrix pencil Show Chinese title

Title: 二次矩阵束的完整溶剂对

V. G. Kurbatov, I. V. Kurbatova

Comments: 24 pages, 16 figures

Subjects: Numerical Analysis (math.NA) ; Dynamical Systems (math.DS) ; Functional Analysis (math.FA) ; Spectral Theory (math.SP)

[30] arXiv:2405.07742 (cross-list from math.CA) [cn-pdf, pdf, html, other]

Title: Optimal discrete Hardy-Rellich-Birman inequalities Show Chinese title

Title: 最优离散Hardy-Rellich-Birman不等式

František Štampach, Jakub Waclawek

Comments: 27 pages

Subjects: Classical Analysis and ODEs (math.CA) ; Spectral Theory (math.SP)

[31] arXiv:2405.08347 (cross-list from math.CO) [cn-pdf, pdf, html, other]

Title: Tree walks and the spectrum of random graphs Show Chinese title

Title: 树遍历和随机图的谱

Eva-Maria Hainzl, Élie de Panafieu

Comments: 26 pages, long version of a paper presented at the 35th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2024)

Subjects: Combinatorics (math.CO) ; Spectral Theory (math.SP)

[32] arXiv:2405.08898 (cross-list from math-ph) [cn-pdf, pdf, html, other]

Title: On absolutely continuous spectrum for one-channel unitary operators Show Chinese title

Title: 关于单通道酉算子的绝对连续谱

Olivier Bourget, Gregorio Moreno, Christian Sadel, Amal Taarabt

Comments: 36 pages, 5 figures

Subjects: Mathematical Physics (math-ph) ; Functional Analysis (math.FA) ; Spectral Theory (math.SP)

[33] arXiv:2405.09099 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Local strong magnetic fields and the Little-Parks effect Show Chinese title

Title: 局部强磁场和Little-Parks效应

Ayman Kachmar, Mikael Sundqvist

Comments: 12 pages

Subjects: Analysis of PDEs (math.AP) ; Mathematical Physics (math-ph) ; Spectral Theory (math.SP)

[34] arXiv:2405.09949 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Homogenization of the Dirac operator with position-dependent mass Show Chinese title

Title: 狄拉克算子与位置有关的质量的均质化

Andrii Khrabustovskyi, Vladimir Lotoreichik

Comments: 18 pages, 2 figures

Subjects: Analysis of PDEs (math.AP) ; Mathematical Physics (math-ph) ; Spectral Theory (math.SP)

[35] arXiv:2405.09957 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: Resolvent estimates in Schatten spaces for Laplace-Beltrami operators on compact manifolds Show Chinese title

Title: 拉普拉斯-贝尔特拉米算子在紧致流形上的施瓦茨空间中的预解估计

Jean-Claude Cuenin

Comments: 5 pages

Subjects: Analysis of PDEs (math.AP) ; Spectral Theory (math.SP)

[36] arXiv:2405.10007 (cross-list from cs.IT) [cn-pdf, pdf, html, other]

Title: Sampling Theorem and interpolation formula for non-vanishing signals Show Chinese title

Title: 采样定理和非零信号的插值公式

Nikolai Dokuchaev

Comments: arXiv admin note: substantial text overlap with arXiv:2405.05566

Subjects: Information Theory (cs.IT) ; Functional Analysis (math.FA) ; Optimization and Control (math.OC) ; Spectral Theory (math.SP)

[37] arXiv:2405.10652 (cross-list from math.FA) [cn-pdf, pdf, html, other]

Title: Endpoint Schatten class properties of commutators Show Chinese title

Title: 端点Schatten类的换位子性质

Rupert L. Frank, Fedor Sukochev, Dmitriy Zanin

Comments: 41 pages

Subjects: Functional Analysis (math.FA) ; Analysis of PDEs (math.AP) ; Operator Algebras (math.OA) ; Spectral Theory (math.SP)

[38] arXiv:2405.10770 (cross-list from math.FA) [cn-pdf, pdf, html, other]

Title: Proof of the Paszkiewicz's conjecture about a product of positive contractions Show Chinese title

Title: Paszkiewicz关于正收缩乘积的猜想的证明

Hiroshi Ando, Yuki Miyamoto, Narutaka Ozawa

Comments: version 2: The third named author (Ozawa) has found a full proof of the Paszkiewicz conjecture. Thus, most of the intermediate results from the previous version are removed. 10 pages

Subjects: Functional Analysis (math.FA) ; Operator Algebras (math.OA) ; Spectral Theory (math.SP)

[39] arXiv:2405.11630 (cross-list from math.CA) [cn-pdf, pdf, other]

Title: General Christoffel Perturbations for Mixed Multiple Orthogonal Polynomials Show Chinese title

Title: 混合多重正交多项式的广义克里斯托弗尔摄动

Manuel Mañas, Miguel Rojas

Comments: 32 pages. Some minor typos corrected in the second version

Subjects: Classical Analysis and ODEs (math.CA) ; Mathematical Physics (math-ph) ; Spectral Theory (math.SP)

[40] arXiv:2405.11634 (cross-list from math.FA) [cn-pdf, pdf, html, other]

Title: Spectral theory of infinite dimensional dissipative Hamiltonian systems Show Chinese title

Title: 无限维耗散哈密顿系统的谱理论

Christian Mehl, Volker Mehrmann, Michał Wojtylak

Subjects: Functional Analysis (math.FA) ; Analysis of PDEs (math.AP) ; Spectral Theory (math.SP)

[41] arXiv:2405.11695 (cross-list from math.AP) [cn-pdf, pdf, html, other]

Title: The Landis conjecture via Liouville comparison principle and criticality theory Show Chinese title

Title: 通过Liouville比较原理和临界性理论的Landis猜想

Ujjal Das, Yehuda Pinchover

Comments: 21 pages

Subjects: Analysis of PDEs (math.AP) ; Mathematical Physics (math-ph) ; Classical Analysis and ODEs (math.CA) ; Functional Analysis (math.FA) ; Spectral Theory (math.SP)

[42] arXiv:2405.14356 (cross-list from math-ph) [cn-pdf, pdf, html, other]

Title: Enhanced area law in the Widom-Sobolev formula for the free Dirac operator in arbitrary dimension Show Chinese title

Title: 任意维数中自由狄拉克算子的Widom-Sobolev公式中的增强面积定律

Leon Bollmann, Peter Müller

Comments: 18 pages

Journal-ref: Pure Appl. Analysis 7 (2025) 595-613

Subjects: Mathematical Physics (math-ph) ; Spectral Theory (math.SP)

[43] arXiv:2405.14682 (cross-list from nlin.PS) [cn-pdf, pdf, html, other]

Title: Turing instabilities for three interacting species Show Chinese title

Title: 三个相互作用物种的图灵不稳定性

Vit Piskovsky

Comments: 6 pages, 1 figure

Subjects: Pattern Formation and Solitons (nlin.PS) ; Dynamical Systems (math.DS) ; Spectral Theory (math.SP) ; Quantitative Methods (q-bio.QM)

[44] arXiv:2405.14846 (cross-list from math.AP) [cn-pdf, pdf, other]

Title: Semiclassical analysis on principal bundles Show Chinese title

Title: 主丛上的半经典分析

Mihajlo Cekić, Thibault Lefeuvre

Comments: v1: 178 pages, 2 figures; v2: 186 pages, added Theorem 5.1.10

Subjects: Analysis of PDEs (math.AP) ; Differential Geometry (math.DG) ; Dynamical Systems (math.DS) ; Spectral Theory (math.SP)

[45] arXiv:2405.15029 (cross-list from math-ph) [cn-pdf, pdf, html, other]

Title: Layers of planar hexagonal heterostructure modeled by quantum graphs Show Chinese title

Title: 平面六边形异质结构的层模型由量子图表示

Osmar N. Souza

Comments: We demonstrate that if the magnetic flux is constant in the hexagonal network and is a rational multiple of 2\pi, then there will be values of this flux such that, for certain boundary conditions at the vertices (modeling the hBN), the conical touches in the operator scattering relation will cease to exist and we guarantee the existence of gaps

Subjects: Mathematical Physics (math-ph) ; Mesoscale and Nanoscale Physics (cond-mat.mes-hall) ; Functional Analysis (math.FA) ; Spectral Theory (math.SP)

[46] arXiv:2405.16371 (cross-list from math.FA) [cn-pdf, pdf, html, other]

Title: Eventually positive semigroups: spectral and asymptotic analysis Show Chinese title

Title: 最终正半群：谱和渐近分析

Sahiba Arora

Comments: 27 pages. This is version 2, accepted to appear in Semigroup Forum. Compared to version 1, statement of Theorem 5.4 has been simplified, proof of Proposition 6.1 has been slightly modified for clarity, statement of Lemma 6.2 is modified, and Example 6.9 has been added. Furthermore, the bibliography has been updated

Journal-ref: Semigroup Forum (2025)

Subjects: Functional Analysis (math.FA) ; Spectral Theory (math.SP)

[47] arXiv:2405.16903 (cross-list from math.OC) [cn-pdf, pdf, html, other]

Title: Kaczmarz Projection Algorithms in Moving Window: Performance Improvement via Extended Orthogonality & Forgetting Show Chinese title

Title: 基于移动窗口的Kaczmarz投影算法：通过扩展正交性与遗忘实现性能提升

Alexander Stotsky

Comments: J Sign Process Syst, 2024

Subjects: Optimization and Control (math.OC) ; Dynamical Systems (math.DS) ; Numerical Analysis (math.NA) ; Spectral Theory (math.SP)

[48] arXiv:2405.17200 (cross-list from math-ph) [cn-pdf, pdf, other]

Title: A Mathematical Theory of Integer Quantum Hall Effect in Photonics Show Chinese title

Title: 光子学中的整数量子霍尔效应数学理论

Jiayu Qiu, Hai Zhang

Subjects: Mathematical Physics (math-ph) ; Analysis of PDEs (math.AP) ; Spectral Theory (math.SP)

[49] arXiv:2405.18233 (cross-list from math.DG) [cn-pdf, pdf, html, other]

Title: First Eigenvalue of Jacobi operator and Rigidity Results for Constant Mean Curvature Hypersurfaces Show Chinese title

Title: 第一Jacobi算子的特征值和常平均曲率超曲面的刚性结果

Marcio Batista, Marcos P. Cavalcante, Luiz R. Melo

Comments: 17 pages. Comments welcome!

Subjects: Differential Geometry (math.DG) ; Analysis of PDEs (math.AP) ; Spectral Theory (math.SP)

[50] arXiv:2405.18705 (cross-list from math.OC) [cn-pdf, pdf, html, other]

Title: A simple inverse power method for balanced graph cut Show Chinese title

Title: 一种用于平衡图划分的简单逆幂方法

Sihong Shao, Chuan Yang

Comments: 24 pages, 10 figures

Subjects: Optimization and Control (math.OC) ; Combinatorics (math.CO) ; Numerical Analysis (math.NA) ; Spectral Theory (math.SP)