Latest Articles for Mathematics

A look at the limits of edges in planar graphs without specific subgraphs.

Explore key methods in quantum mechanics to simplify complex calculations.

Research reveals complexities in polytopes and sparse groups, challenging previous assumptions.

A look at dynamic phase changes in quantum systems using the Potts model.

Explore the fundamentals and uses of bipartite distance-regularized graphs.

A detailed look at toric varieties and their relationships through interpolation.

This article discusses flat spheres and the role of conical singularities.

Insights into surfaces with torus actions and the Picard index.

An exploration of the fascinating mechanics behind inverted pendulums and their stability.

A look into the structure and properties of doodles formed by circles.

Strong minima ensure stability and uniqueness in optimization solutions across various fields.

Thermodynamic Maps improve understanding of phase transitions in complex systems.

This study highlights programmatic approaches to improve math problem-solving efficiency.

This article examines the addition of hyperplanes and their characteristics in arrangements.

This article presents a fresh perspective on hyperplane arrangements and their stability.

Examining recent findings in tolerant testing of monotonicity, unateness, and juntas in functions.

A look at how groups transform spaces and the implications for mathematics.

Examining the relationship between Milnor fiber and Betti numbers in analytic functions.

A look into proving inequalities and estimating errors in mathematical models.

Exploring algebraic operations related to string topology and loop coproducts.

A new architecture enhances energy efficiency and speed in large integer multiplication.

Exploring the significance and properties of symmetric hyperbolic polynomials.

An overview of simplicial presheaves and their role in various areas of mathematics.

A look into the various forms of convergence and their importance in mathematics.

New methods in Hochschild cohomology for gentle algebras provide clearer insights.

A look into how different topologies relate within endomorphism monoids.

Examining the modified Camassa-Holm equation's properties in shallow water wave studies.

Innovative techniques for solving complex differential equations through -structures.

A look into quantum spin chains and their significance in physics and chemistry.

Researching structures that connect points in infinite graphs with unique properties.

An overview of stack-sorting methods and their practical applications in various fields.

Introducing BubbleDet for calculating functional determinants in cosmology.

Explore interval and multiple interval graphs and their significance in various fields.

A look into proximal groups and their role in mathematics.

Open data enhances collaboration and knowledge sharing in mathematical research.

This article reviews the relationships between loops and triangles in free factor complexes.

An overview of T-duality and its relation to Courant algebroids in string theory.

An overview of regularity in fluid dynamics and the Stokes equations.

A look into the study of groups, representations, and their actions on structures.

Study how small changes lead to major shifts in system behavior.