Latest Articles for Mathematics

Explore how traveling times reveal shapes of strictly convex obstacles in curved spaces.

A novel approach improves solutions to Fisher's equation with neural networks.

Exploring the behavior of area-preserving maps in chaotic systems.

A detailed look at automorphic functions and their role in number theory.

This article discusses strategies for maximizing weights in triangle packing problems.

Ultraspherical hypergroups offer insights into complex mathematical structures and their applications.

This article reviews methods for simplifying calculations of intersection numbers in particle interactions.

Examining behaviors of dynamic systems linked to Riemann zeta function zeros.

Exploring the challenge of removing cycles from cubic graphs.

This study highlights the significance of high nonlinearity in Boolean functions for cryptography.

A new method improves synchronization in weakly coupled oscillators for various applications.

This research offers new methods for measuring distances between different dimensional spheres.

A look into endotrivial complexes and their significance in group theory.

This article explores gauge fixing and its role in understanding DNA and protein functions.

Examining the interplay of quantum representations and mapping class groups through kernels and Dehn twists.

Research connects gauge freedoms to sequence-function relationships in biology.

An overview of contact geometry, highlighting its structures and practical implications.

Research on how Transformers improve generalization for longer sequences in addition tasks.

A novel approach for solving complex convection-diffusion equations using advanced techniques.

Tropical geometry merges algebraic and combinatorial geometry to study curves.

An examination of the interaction between number fields and group theory extensions.

This article discusses shapes and their behavior using the Loewner equation.

Explore how the nonlocal Allen-Cahn equation affects phase separation and material design.

Exploring the generalization of Hadamard's theorem for nonsmooth functions.

Explore how sedentary vertices impact information flow in networks.

Research introduces a new invariant to analyze hyperbolic surfaces' geometric properties.

Explore the differences and relationships between real and complex plane curves.

Explore the links between graph theory, walking distances, and physics concepts.

A method to optimize tasks with uncertainty using fuzzy relational equations.

Examining cyclic covers enhances our grasp of curves and their properties.

Explore how geometric inequalities reveal relationships within shapes.

Exploring real quadratic fields and their connections to elliptic curves and modular forms.

A look into how certain sets behave under different conditions.

Examining the role of torsion in Riemann-Cartan geometries and its physical implications.

A look into center manifolds and their role near limit cycles.

Exploring the relationship between shapes and connectivity in higher-dimensional structures.

Examining geometric extensions and their significance in algebraic geometry and singularities.

A new benchmark assesses AI models' abilities in geometry problem-solving.

A look into harmonic functions and their significance on unique toroidal surfaces.

This article discusses improving circuit polynomial computations using 2-splits in rigidity circuits.