Exploring analytic torsion and its significance in geometry and topology.
― 6 min read
Mathematics - Spectral Theory
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Latest Articles
Explore how the Laplace operator reveals properties of shapes like spheres and hemispheres.
― 4 min read
This study highlights the significance of the Neural Tangent Kernel in training neural networks.
― 5 min read
Explore how the fundamental gap relates to different shapes and spaces.
― 6 min read
An overview of free fermions and their importance in physics.
― 5 min read
Study examines eigenvalue relationships influenced by magnetic fields in convex domains.
― 5 min read
Exploring the unique properties and uses of hexagonal materials in technology.
― 5 min read
Exploring the significance of spectral radii in graphs and their applications.
― 6 min read
A look into the role of quadratic matrix pencils in analyzing dynamic systems.
― 7 min read
A look at the role of tree walks in understanding random graphs.
― 6 min read
Learn how spectral theory applies to infinite dimensional spaces and real-world systems.
― 6 min read
Introducing a simple inverse power method for solving balanced cut problems efficiently.
― 5 min read
Analyzing polynomial-like behavior of Laplace eigenfunctions in small regions.
― 6 min read
Examining the stability and energy states of neutral bosonic molecules.
― 5 min read
A look into the fundamental eigenvalue gap and its significance.
― 6 min read
A look into the Steklov problem and its impact on various fields.
― 5 min read
A new model improves graph processing by addressing key GNN challenges.
― 5 min read
A look into the properties and significance of geodesic balls in curved spaces.
― 5 min read
This research delves into holomorphic functions and their maximum values in Hardy spaces.
― 4 min read
Examining the role of geometry and sampling in improving super-resolution methods.
― 5 min read
This study investigates eigenfunctions and their behavior in complex mathematical settings.
― 6 min read
An overview of how the dynamic Laplacian analyzes changing data over time.
― 6 min read
A look into eigenvalue problems and methods for their resolution.
― 5 min read
Exploring periodic approximations of Schrödinger operators through substitution systems.
― 5 min read
A look into eigenvalues related to the Dirac operator in quantum mechanics.
― 5 min read
Research reveals new patterns and boundaries of eigenvalue sums in quantum mechanics.
― 5 min read
This study focuses on how particles react on surfaces and the factors involved.
― 4 min read
Examining how modifications affect network behavior and performance across various systems.
― 6 min read
Exploring the roles of tensors and random walks in data science.
― 5 min read
Explore how hexagonal lattices impact particle behavior in quantum graphs.
― 5 min read
Discover the significance of N eel walls in magnetic materials and their applications.
― 4 min read
Exploring Krein systems and their impact on various mathematical fields.
― 7 min read
A look at the Helmholtz equation and Newtonian potential in wave analysis.
― 5 min read
Introducing arbitrarily finely divisible matrices for better understanding of stochastic processes.
― 6 min read
An overview of recent findings in quantum dynamics and particle movement.
― 7 min read
A dive into the Dirac operator and its eigenvalues through perturbations.
― 7 min read
A look into the behavior of damped waves in specific geometric spaces.
― 6 min read
Graphs reveal relationships and connections in various systems.
― 5 min read
Discover how different mathematical concepts connect through spectral equivalences.
― 5 min read
Exploring the significance of eigenvalues and eigenvectors in engineering and physics.
― 5 min read
A look at how operators behave on surfaces in mathematics.
― 5 min read