Mathematics - Spectral Theory

Spectral TheoryThe Connection Between Friends: Understanding Graphs

Graphs reveal relationships and connections in various systems.

Songnian Xu, Wenhao Zhen, Dein Wong

2025-05-24T11:13:24+00:00 ― 5 min read

Functional AnalysisSpectral Equivalences: A Look into Mathematical Spaces

Discover how different mathematical concepts connect through spectral equivalences.

Fabrice Nonez

2025-05-22T23:09:14+00:00 ― 5 min read

Spectral TheoryThe Role of Eigenvalues in Matrices

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

Quanling Deng

2025-05-20T01:11:28+00:00 ― 5 min read

Analysis of PDEsOperators on Surfaces: A Mathematical Exploration

A look at how operators behave on surfaces in mathematics.

Suresh Eswarathasan, Allan Greenleaf, Blake Keeler

2025-05-18T15:06:08+00:00 ― 5 min read

Machine LearningUnderstanding Centrality Graph Shift Operators

Learn how CGSOs enhance graph analysis by measuring node importance.

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

2025-05-17T10:43:11+00:00 ― 4 min read

Mathematical PhysicsNavigating the Quirks of Magnetic Tunneling

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

Søren Fournais, Léo Morin

2025-05-12T20:27:00+00:00 ― 6 min read

Geometric TopologyA Look into Hyperbolic Surfaces

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

Yuxin He, Yunhui Wu

2025-05-11T15:25:52+00:00 ― 6 min read

Spectral TheoryFitting Shapes in the Complex Plane

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

Bjorn Gustafsson, Mihai Putinar

2025-05-07T16:09:20+00:00 ― 6 min read

Spectral TheoryUnderstanding Line Graphs and Their Properties

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

Wenhao Zhen, Dein Wong, Songnian Xu

2025-05-05T16:31:04+00:00 ― 5 min read

Spectral TheoryQuasicrystals: Unique Structures with Potential

Discover the unusual properties and applications of quasicrystals in technology.

Bryn Davies, Clemens Thalhammer

2025-05-05T04:58:36+00:00 ― 5 min read

Spectral TheoryEigenvalue Bounds and Their Impact on Physics

Exploring how eigenvalue bounds affect physical systems in mathematics.

Jean-Claude Cuenin

2025-05-03T09:52:28+00:00 ― 6 min read

Spectral TheoryQuantum Unique Ergodicity: A Closer Look

Learn how quantum states behave over time in unique conditions.

Léo Morin, Gabriel Rivière

2025-04-28T20:38:21+00:00 ― 5 min read

Spectral TheoryConnecting Friends Through Power Graphs

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

Priti Prasanna Mondal, Basit Auyoob Mir, Fouzul Atik

2025-04-27T16:16:18+00:00 ― 6 min read

Functional AnalysisToeplitz Operators and Szegö Limit Theorems Explained

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

Trevor Camper, Mishko Mitkovski

2025-04-25T20:25:00+00:00 ― 6 min read

CombinatoricsUnderstanding Mixed Graphs Through Integrated Adjacency Matrix

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

G. Kalaivani, R. Rajkumar

2025-04-23T09:56:36+00:00 ― 6 min read

Spectral TheoryInvestigating Distances in Kronecker Product Graphs

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

Priti Prasanna Mondal, Fouzul Atik

2025-04-22T23:30:06+00:00 ― 6 min read

Dynamical SystemsWaves of Activity in the Brain

Exploring the dynamics of traveling waves in neural networks.

Safaa Habib, Romain Veltz

2025-04-16T05:07:46+00:00 ― 7 min read

Dynamical SystemsUnderstanding Non-Uniformly Hyperbolic Systems: A New Approach

Exploring the behavior of complex dynamical systems in new ways.

Leonid A. Bunimovich, Yaofeng Su

2025-04-02T07:27:40+00:00 ― 5 min read

Spectral TheoryThe Chaos of Random Fields on Spheres

Scientists study how randomness evolves on spherical surfaces like Earth.

Tareq Alodat, Quoc T. Le Gia

2025-03-25T23:38:40+00:00 ― 5 min read

Analysis of PDEsOptimizing Shapes in the Lamé System

Exploring optimal shapes for material performance in elasticity theory.

Antoine Henrot, Antoine Lemenant, Yannick Privat

2025-03-23T10:22:30+00:00 ― 5 min read

Analysis of PDEsThe Surprising Truth About Hot Spots in Geometry

Discover the unexpected behavior of heat in convex shapes.

Jaume de Dios Pont

2025-03-22T18:23:30+00:00 ― 6 min read

Spectral TheoryThe Fascinating World of Steklov Eigenvalues

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

Samuel Audet-Beaumont

2025-03-20T23:46:10+00:00 ― 6 min read

Spectral TheoryThe Secrets of Regular Graphs Revealed

Uncovering the intriguing eigenvalues and spectral edges of regular graphs.

Dingding Dong, Theo McKenzie

2025-03-12T18:38:30+00:00 ― 6 min read

Spectral TheoryThe Fascinating World of Matrices and Eigenvalues

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

Gabriela Holubová, Petr Nečesal

2025-03-01T00:16:10+00:00 ― 7 min read

Numerical AnalysisNavigating Complex Equations: Simplified Solutions

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

Yvonne Alama Bronsard, Xi Chen, Matthieu Dolbeault

2025-02-25T08:21:40+00:00 ― 7 min read

Operator AlgebrasUnraveling the Secrets of Entropy in Groups

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

Tim Austin

2025-02-21T19:07:00+00:00 ― 7 min read

Spectral TheoryThe 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

2025-01-22T16:59:22+00:00 ― 6 min read