Latest Articles for Mathematics

Investigating how waves scatter near black holes reveals cosmic mysteries.

Learn about topological recursion and its role in mathematics and physics.

An overview of harmonic forms and their significance in geometry and topology.

Exploring behaviors of random walks in complex, random settings.

An overview of ring patterns and their unique properties in geometry.

A look at monopole Floer homology and its implications in geometry.

Exploring the relationships between quantum field theories and mathematical frameworks.

Toric posets offer new insights into the study of partially ordered sets.

This article explores methods for identifying hidden shapes in materials using wave behavior.

An overview of how random matrices impact various fields in mathematics and physics.

Exploring well-rounded algebraic lattices and their practical applications.

A new method improves predictions of physical systems through advanced neural networks and Hamiltonian mechanics.

Researching solutions to the Dirichlet problem involving mean curvature and weak solutions.

Learn how continuations aid in managing quantum computations.

This article explores unique properties of solutions in quasilinear elliptic equations.

Examining how equations model complex systems over time.

An overview of vector bundles, metrics, and their significance in complex geometry.

Exploring the behavior of solutions in dispersive equations under various conditions.

This article discusses uncertainty analysis in engineering through the FgPC method.

A look into the distribution of primes within admissible sets of integers.

Learn how new methods improve column arrangement in binary matrices.

A concise overview of information theory and its essential components.

Introducing ComFNO, a method for tackling complex differential equations using deep learning.

Discover the classic challenge of constructing a circle touching three others.

This article reviews the rigidity properties of simple modules within algebraic groups.

Introducing advanced processes for effective circular data analysis across various fields.

A look at probability systems and challenges in averaging outcomes over time.

A new method to improve sampling in complex Bayesian inverse problems.

Explore methods to maintain accurate and reliable financial data.

A look into how coupled oscillators interact and synchronize.

This method improves symbolic regression by ensuring generated equations meet necessary constraints.

An overview of rational maps and their dynamics in algebraic geometry.

Examining how solutions behave in hyperbolic systems with various conditions.

Research on spreading and attraction forces in unique geometric spaces.

Examine the dynamics and periodic points of spun pseudo-Anosov maps.

Discover how randomness influences the study of prime numbers and Rademacher functions.

Learn how homogenisation aids in understanding complex materials and systems effectively.

An exploration of primitive points in curves and their significance in mathematics.

A guide to the Levi equation and its geometric applications.

Discover the significance of residual intersections in algebra and their applications.