Latest Articles for Mathematics

Exploring random matrices and their significance in complex systems across various fields.

Analyzing eigenvalues and eigenvectors of complex order-three random tensors.

A new method to calculate Heegaard genus efficiently using normal surfaces.

Introducing a method to handle difficult optimization problems with Lipschitz constraints.

An analysis of crushing methods for managing complex three-dimensional shapes.

Exploring how quantum spin chains relate to computation and mathematical properties.

A fresh approach improves calculations on the Stiefel manifold for various applications.

A novel approach improves distance optimization strategies at singular points.

Exploring self-avoiding walks and their implications on complex graph structures.

A look at schemes and their role in algebraic geometry.

A look into the dynamics of Legendrian links and their fillings.

A look into Ramsey and Turan theories in graph structures.

Exploring the significance of irreversible processes in thermodynamics and mechanics.

Learn how stochastic Volterra equations model random systems across various fields.

An in-depth look at semistable sheaves and their impact on algebraic geometry.

This article discusses recent developments in invariant theory using algorithms and computational methods.

Researchers propose a novel method for calculating excited states using quantum circuits.

Researchers are advancing methods to solve large, sparse linear systems effectively.

Examining filament dynamics for insights into biological processes and engineering applications.

Using neural networks to efficiently solve complex partial differential equations.

Research proposes methods for better gradient estimation in quantum computing.

Exploring the role of MSO in understanding linear recurrence sequences and their decidability.

This study examines the Weisfeiler-Leman dimension and coherent configurations in graphs.

A new method for predicting behavior in constrained Hamilton-Jacobi equations.

Explore the effectiveness of SVRG in solving complex, noisy data challenges.

A novel approach streamlines solutions for nonlinear tensor differential equations efficiently and effectively.

This study examines braid indices for non-alternating pretzel links.

Exploring how particles stick to surfaces and their real-world applications.

Explore the unique properties and structures of parallelizable manifolds.

Exploring elliptic operators and their significance in geometry and topology.

Exploring the geometric evolution of Lagrangian submanifolds in Kähler manifolds.

This article explains moduli spaces and the significance of Virasoro constraints.

This article examines how edge density affects triangle formation in random graphs.

Explore how the Gierer-Meinhardt model explains pattern formation in living organisms.

This article clarifies the behavior of irrotational shocks in fluid flow.

A look at the behavior and stability of vortex filaments in various fluids.

A look into particle interactions using the Vlasov-Poisson model.

Exploring the relationships between shapes through symmetries and mathematical structures.

Examining the links between Feynman integrals and Calabi-Yau manifolds in theoretical physics.

A method that improves approximation of mathematical models using neural networks and finite elements.