Mathematics - Spectral Theory

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Analysis of PDEs Examining Eigenfunctions in Singular Potentials and Submanifolds

This study investigates eigenfunctions and their behavior in complex mathematical settings.

Xiaoqi Huang, Xing Wang, Cheng Zhang

7 hours ago ― 6 min read

Latest Articles

Computational Physics Analyzing Particle Behavior on Surfaces

This study focuses on how particles react on surfaces and the factors involved.

Denis S. Grebenkov

Jun 16, 2025 ― 4 min read

Chaotic Dynamics The Impact of Network Changes on Performance

Examining how modifications affect network behavior and performance across various systems.

Sajjad Bakrani, Narcicegi Kiran, Deniz Eroglu

Jun 15, 2025 ― 6 min read

Probability Understanding Tensors and Random Walks

Exploring the roles of tensors and random walks in data science.

Shih-Yu Chang

Jun 14, 2025 ― 5 min read

Mathematical Physics Hexagonal Lattices: A Window into Quantum Behavior

Explore how hexagonal lattices impact particle behavior in quantum graphs.

Pavel Exner, Jan Pekař

Jun 13, 2025 ― 5 min read

Analysis of PDEs The Role of N eel Walls in Ferromagnetism

Discover the significance of N eel walls in magnetic materials and their applications.

Antonio Capella, Christof Melcher, Lauro Morales

Jun 12, 2025 ― 4 min read

Spectral Theory Krein Systems: A Key to Mathematical Insights

Exploring Krein systems and their impact on various mathematical fields.

Pavel Gubkin

Jun 7, 2025 ― 7 min read

Spectral Theory Wave Behavior and Mathematical Tools in Physics

A look at the Helmholtz equation and Newtonian potential in wave analysis.

Zhe Wang, Ahcene Ghandriche, Jijun Liu

Jun 7, 2025 ― 5 min read

Probability New Insights into Stochastic Matrices

Introducing arbitrarily finely divisible matrices for better understanding of stochastic processes.

Priyanka Joshi, Helena Šmigoc

Jun 5, 2025 ― 6 min read

Mathematical Physics Insights into Quantum Mechanics and Particle Behavior

An overview of recent findings in quantum dynamics and particle movement.

Wencai Liu, Matthew Powell, Xueyin Wang

May 31, 2025 ― 7 min read

Spectral Theory Understanding the Dirac Operator and Perturbations

A dive into the Dirac operator and its eigenvalues through perturbations.

Pablo Miranda, Daniel Parra

May 28, 2025 ― 7 min read

Spectral Theory Damped Waves on Compact Manifolds

A look into the behavior of damped waves in specific geometric spaces.

Yulin Gong

May 28, 2025 ― 6 min read

Spectral Theory The Connection Between Friends: Understanding Graphs

Graphs reveal relationships and connections in various systems.

Songnian Xu, Wenhao Zhen, Dein Wong

May 24, 2025 ― 5 min read

Functional Analysis Spectral Equivalences: A Look into Mathematical Spaces

Discover how different mathematical concepts connect through spectral equivalences.

Fabrice Nonez

May 22, 2025 ― 5 min read

Spectral Theory The Role of Eigenvalues in Matrices

Exploring the significance of eigenvalues and eigenvectors in engineering and physics.

Quanling Deng

May 20, 2025 ― 5 min read

Analysis of PDEs Operators on Surfaces: A Mathematical Exploration

A look at how operators behave on surfaces in mathematics.

Suresh Eswarathasan, Allan Greenleaf, Blake Keeler

May 18, 2025 ― 5 min read

Machine Learning Understanding Centrality Graph Shift Operators

Learn how CGSOs enhance graph analysis by measuring node importance.

Yassine Abbahaddou, Fragkiskos D. Malliaros, Johannes F. Lutzeyer

May 17, 2025 ― 4 min read

Mathematical Physics Navigating the Quirks of Magnetic Tunneling

A simplified look into magnetic tunneling and disc-shaped obstacles.

Søren Fournais, Léo Morin

May 12, 2025 ― 6 min read

Geometric Topology A Look into Hyperbolic Surfaces

Discover the intriguing world of hyperbolic surfaces and their unique properties.

Yuxin He, Yunhui Wu

May 11, 2025 ― 6 min read

Spectral Theory Fitting Shapes in the Complex Plane

Examining the interaction of quadrature domains and their non-overlapping nature.

Bjorn Gustafsson, Mihai Putinar

May 7, 2025 ― 6 min read

Spectral Theory Understanding Line Graphs and Their Properties

A look into line graphs, eigenvalue multiplicity, and related graph theory concepts.

Wenhao Zhen, Dein Wong, Songnian Xu

May 5, 2025 ― 5 min read

Spectral Theory Quasicrystals: Unique Structures with Potential

Discover the unusual properties and applications of quasicrystals in technology.

Bryn Davies, Clemens Thalhammer

May 5, 2025 ― 5 min read

Spectral Theory Eigenvalue Bounds and Their Impact on Physics

Exploring how eigenvalue bounds affect physical systems in mathematics.

Jean-Claude Cuenin

May 3, 2025 ― 6 min read

Spectral Theory Quantum Unique Ergodicity: A Closer Look

Learn how quantum states behave over time in unique conditions.

Léo Morin, Gabriel Rivière

Apr 28, 2025 ― 5 min read

Spectral Theory Connecting Friends Through Power Graphs

A look into power graphs and their impact on group connections.

Priti Prasanna Mondal, Basit Auyoob Mir, Fouzul Atik

Apr 27, 2025 ― 6 min read

Functional Analysis Toeplitz Operators and Szegö Limit Theorems Explained

An exploration of Toeplitz operators and Szegö limit theorems in mathematics.

Trevor Camper, Mishko Mitkovski

Apr 25, 2025 ― 6 min read

Combinatorics Understanding Mixed Graphs Through Integrated Adjacency Matrix

A new approach to studying mixed graphs using integrated adjacency matrices.

G. Kalaivani, R. Rajkumar

Apr 23, 2025 ― 6 min read

Spectral Theory Investigating Distances in Kronecker Product Graphs

This article examines distances in Kronecker products of distance regular graphs.

Priti Prasanna Mondal, Fouzul Atik

Apr 22, 2025 ― 6 min read

Dynamical Systems Waves of Activity in the Brain

Exploring the dynamics of traveling waves in neural networks.

Safaa Habib, Romain Veltz

Apr 16, 2025 ― 7 min read

Dynamical Systems Understanding Non-Uniformly Hyperbolic Systems: A New Approach

Exploring the behavior of complex dynamical systems in new ways.

Leonid A. Bunimovich, Yaofeng Su

Apr 2, 2025 ― 5 min read

Spectral Theory The Chaos of Random Fields on Spheres

Scientists study how randomness evolves on spherical surfaces like Earth.

Tareq Alodat, Quoc T. Le Gia

Mar 25, 2025 ― 5 min read

Analysis of PDEs Optimizing Shapes in the Lamé System

Exploring optimal shapes for material performance in elasticity theory.

Antoine Henrot, Antoine Lemenant, Yannick Privat

Mar 23, 2025 ― 5 min read

Analysis of PDEs The Surprising Truth About Hot Spots in Geometry

Discover the unexpected behavior of heat in convex shapes.

Jaume de Dios Pont

Mar 22, 2025 ― 6 min read

Spectral Theory The Fascinating World of Steklov Eigenvalues

Discover the unique properties of surfaces through Steklov eigenvalues and their multiplicity.

Samuel Audet-Beaumont

Mar 20, 2025 ― 6 min read

Spectral Theory The Secrets of Regular Graphs Revealed

Uncovering the intriguing eigenvalues and spectral edges of regular graphs.

Dingding Dong, Theo McKenzie

Mar 12, 2025 ― 6 min read

Spectral Theory The Fascinating World of Matrices and Eigenvalues

Discover the secrets of matrices, eigenvalues, and their rich behavior.

Gabriela Holubová, Petr Nečesal

Mar 1, 2025 ― 7 min read

Numerical Analysis Navigating Complex Equations: Simplified Solutions

Discover clever approaches to tackle challenging mathematical equations and their significance.

Yvonne Alama Bronsard, Xi Chen, Matthieu Dolbeault

Feb 25, 2025 ― 7 min read

Operator Algebras Unraveling the Secrets of Entropy in Groups

Dive into the fascinating world of entropy and its role in group theory.

Tim Austin

Feb 21, 2025 ― 7 min read

Spectral Theory The Page Metric: Revealing Black Hole Mysteries

Discover how the Page metric helps us understand black holes and their behavior.

Robie A. Hennigar, Hari K. Kunduri, Kam To Billy Sievers

Jan 22, 2025 ― 6 min read