Latest Articles for Mathematics

Explore the role of Galois extensions in mathematics and their practical applications.

Research reveals simplifications in decomposition numbers for specific blocks within Iwahori-Hecke algebras.

This paper connects the Thurston spine to systoles and Morse-Smale complexes.

Exploring vortex behavior on various surfaces and applications in science.

A new approach improves solutions for particle movement in fluids with changing boundaries.

This article examines point arrangements with integer distances across various geometrical structures.

Introducing an innovative scheme for creating smooth curves from irregular points.

A fresh look at grouping points in graphs for balanced clusters.

Exploring the complexities and significance of digraphs in various contexts.

This paper examines the O-U process for better population modeling.

Exploring how group actions influence growth and behavior on sets.

A look into matroids and their applications in various fields.

This article presents a model for random trees affected by local changes over time.

A study on food chains using advanced mathematical techniques.

An overview of model categories, exact categories, homotopy theory, and sheaves.

This study examines how particles combine and evolve in a defined spatial area.

Explore the structure and properties of Teichmuller space.

This article examines how memory affects first passage time for random walkers.

A look into representations, characters, and their connections in Lie algebras.

Learn about coisotropic submanifolds and their significance in contact geometry.

A study on estimating velocity fields from stochastic partial differential equations.

A look into discrete surfaces and their roles in geometry, art, and design.

This article presents a novel way to study geodesic disks and their intersections.

Explore the significance of twisted rational zeros in linear recurrence sequences.

Learn about TQFTs and their importance in physics and mathematics.

Improving methods for solving Navier-Stokes equations with noisy data.

Study reveals new scaling laws for turbulent flows affecting velocity and temperature.

This study examines non-simple loops in the conformal loop ensemble.

A look at the significance of the Positive Mass Theorem in geometry and physics.

New methods improve strategies in extensive-form games for better outcomes.

A new method reveals insights into complex system interactions using hypergraphs.

Gatzouras-Lalley carpets reveal complex patterns and dimensions in fractal geometry.

A new step enhances solution refinement in challenging optimization problems.

Learn about Bernstein-Sato polynomials and their significance in mathematics.

Exploring how AI can improve mathematical reasoning and discovery.

This article examines the behavior of sections in abelian varieties and their finite translation orbits.

Learn how ADMM efficiently solves distributed optimization problems.

Explore the significance and implications of P and NP in computer science.

Leveraging the Douglas-Rachford algorithm for effective optimal control problem-solving.

This article examines nilpotent elements and their significance in algebraic groups.