Latest Articles for Mathematics

Exploring the formation and behavior of clusters in a two-dimensional slab.

Exploring nonstabilizerness and its significance in quantum systems and technologies.

Exploring a new principle for harmonic functions defined on circular domains.

Analyzing the significance of compensated weighted sums in mathematical models of randomness.

Research connects turbulent fluid dynamics to black hole physics, revealing new insights.

Explore the basics of fibrations and their significance in mathematics.

Exploring how UDEs advance understanding of neural systems through modern techniques.

Exploring the behavior of averages across various curves in mathematical analysis.

Exploring the intersection of category theory and deep learning frameworks.

Introducing a method that combines kernel-based reconstruction with finite volume techniques for fluid flows.

This article discusses new developments in cohomology using Homotopy Type Theory.

This paper investigates the impact of simplicity bias on one-dimensional dynamical systems.

A look at dimer models and their applications in various scientific fields.

This article presents a method to handle integral equations affected by noise.

Exploring the Non-Cancelling Intersections Conjecture's impact on set theory.

Exploring the relationship between Bezier curves and the Takagi function in design.

Introducing a new algorithm for constrained bi-level optimization problems in machine learning.

Explore key models guiding the study of biological invasion and population dynamics.

New framework aids in simulating complex shapes in physics and engineering.

This model improves predictions for partial differential equations using innovative techniques.

Discover how supervised learning aids in solving complex equations efficiently.

GUDR enhances UDR for better accuracy in uncertainty quantification.

New techniques improve uncertainty quantification for complex engineering models.

A study on dimensions of invariant subspaces using combinatorial methods.

An overview of the Leray transform and its significance in mathematics.

This article examines how missing numbers affect sumsets in random collections.

A look into how information theory enhances our understanding of disease spread and populations.

Research reveals new insights into colored links and knot invariants.

A look into the alt-Tamari lattice and its implications for combinatorial structures.

A look at anticolimits and their role in expressing complex structures simply.

Examining the impact of finite rank perturbations on normal operators and their invariant subspaces.

Explore the ties between toric cycles and modular forms in modern mathematics.

Exploring the potential of PDE-G-CNNs for efficient image analysis.

A look into the relationship between groups, Poincare exponents, and their applications.

Exploring the connections between spherical maximal functions, Hardy spaces, and Fourier integral operators.

New methods enhance the Kaczmarz algorithm for solving dense linear systems.

A method to study seabed changes using shallow water wave measurements.

Using neural networks to solve complex partial differential equations efficiently.

An overview of explicit cocycles and their significance in mathematics.

Examining how traces of operators behave on hyperbolic surfaces.