Latest Articles for Mathematics

A look into log motives and their importance in mathematics.

Introducing a unique method for representing quantum states in time and space.

Exploring uniquely distinguishing colorable graphs and their real-world applications.

A deep dive into Markoff mod-p graphs and their implications in number theory.

This article examines the online learning of linear operators and its complexities.

Exploring how logical formulas aid machine learning.

Learn how DBMR and NMF make data analysis easier.

Analyzing the behavior of matrix elements through polynomial relationships during rotations.

Explore how fractal interpolation functions model complex patterns in various fields.

This study examines how rare events occur in systems with random walkers.

This article discusses character ratios and their implications in various mathematical fields.

Exploring solutions, stability, and applications of fourth-order nonlinear parabolic equations.

A closer look at the behavior of zeros in cusp forms and their significance.

Research offers new methods for calculating generation functions in quantum field theory.

A look at cohomological kernels in field extensions and their mathematical implications.

Exploring the impact of local discrepancy and functions on QMC techniques.

Examining how various factors influence mixing times in urn models.

Exploring the role and applications of hyperelliptic curves in various fields.

This article reviews findings on edge ideals and their connection to -numbers.

A look into random embeddings and their impact on hypergraphs.

This article discusses key concepts in algebraic structures and their relationships.

Khovanov homology offers deeper insights into the classification of knots and links.

An overview of Dirac operators used to study systems with time delays.

A look at smoothing techniques for optimizing challenging nonsmooth functions.

Exploring how randomness impacts solutions to partial differential equations.

Exploring eigenvalues in simplicial complexes reveals new patterns and insights.

A look into the unique smooth structures of four-dimensional shapes.

A guide to complex logical statements and their implications.

A study on how clusters grow in aggregation models, focusing on ballistic aggregation.

Explore boxicity, circular clique graphs, and zero-divisor graphs in graph theory.

Explore tetrahedra, their properties, and applications in various fields.

A look into operads, props, and their significance in algebra and topology.

A look into factorization, tower heights, and prime numbers.

A study on the stability and behavior of coupled equations in physical systems.

This article critiques traditional views of space and time using a dynamics-first perspective.

Explore the interesting properties of almost Abelian groups and their implications in 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.