Latest Articles for Mathematics

A study on the solutions and behaviors of the Painlevé I equation.

Explore derangements' role in permutation groups and their implications.

Exploring how random walks distribute over time in uniform spaces.

Study of synchronization and swarming in simplified models.

Examining how graph properties impact chemical compounds and their behaviors.

Explore methods to enhance stability in control systems using mathematical frameworks.

Explore the dynamics and constraints of nonholonomic systems in mechanical engineering.

This article examines symplectic reduction methods in infinite-dimensional systems.

Research on operators in nilpotent Lie groups reveals new insights in harmonic analysis.

Explore the importance of completeness in quantum systems and its implications.

A new framework combines machine learning and PDEs for efficient scientific modeling.

Researchers create simpler models to predict complex fluid behaviors efficiently.

A new method merges physics and machine learning to address complex mathematical equations.

A new method streamlines the counting of minimal models in Boolean logic.

New theories suggest the universe's structure may explain dark energy and cosmic acceleration.

Exploring complex behaviors in multi-component reaction-diffusion systems.

This article explores the connections between critical groups and harmonic covers in graphs.

Examining how simple rules create complex patterns in biological systems.

Investigating the limits of symmetric polynomials as variables increase.

A new method for improving data comparison using optimal transport.

A new approach for modeling spatial data with direction-specific relationships.

Discover Fenchel duality's applications and significance in optimization and analysis.

A simple introduction to the properties and significance of thin Heckoid groups.

A look at nonsmooth optimization and its unique challenges in various fields.

An overview of optimal sampling methods in least-squares approximation.

Exploring novel measurements of distance in graphs using advanced mathematics and linear algebra.

Exploring how species interactions shape ecosystem dynamics and stability.

A fresh approach to lambda calculus, integrating resource usage and approximation.

An analysis of Liénard systems and their behavior under quintic conditions.

This article covers techniques to enhance system stability through damping optimization.

Exploring the intersection of cluster algebras and geometric surfaces with punctures.

Exploring multiple polyexponential integrals and their significance in black hole physics.

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.