Latest Articles for Manifolds

A method to compute structures in dynamic systems using advanced mathematical techniques.

An overview of nonlinear equations, their properties, and applications across various fields.

This study examines Brownian motion behavior on geometric shapes with boundaries.

Explore the structure and study of manifolds and foliations in mathematics.

Discover how Bézier curves are transforming data analysis in diverse fields.

Learn about TQFTs and their importance in physics and mathematics.

Introducing innovative GNN layers to analyze complex data on manifolds.

A look into associative submanifolds and their role in geometric spaces.

A look at how Dehn filling alters the properties of knots and links.

Learn how to simulate conditioned diffusions in complex curved spaces.

Exploring surjective flat holomorphic maps in manifold theory and their implications.

Extending Sliced-Wasserstein distances to Cartan-Hadamard manifolds for improved data comparison.

Research reveals methods to estimate space geometry using random geometric graphs.

A look into the study of simply-connected manifolds and their classification.

Investigating exotic structures in manifolds and their implications for understanding spacetime.

Exploring the link between curvature and matrix rank in Grassmann and Stiefel manifolds.

Exploring the links between shapes, mass, and geometry.

Exploring analytic torsion and its significance in geometry and topology.

This study examines phase transitions using the Cahn-Hilliard problem in unique geometries.

Mathematicians study shape modifications in knot theory and their implications.

Exploring the relationships between shapes through symmetries and mathematical structures.

A new method for function approximation in complex curved spaces.

A look at how Newton's method adapts to complex mathematical structures.

Introducing new methods for complex optimization problems on curved spaces.

A novel approach improves distance calculations on complex shapes for various fields.

A new algorithm improves federated learning efficiency while ensuring data privacy.

Examining complex equations in three-dimensional manifolds and their implications.

A look into instantons and their significance in geometry and topology.

A look into the Casson-Sullivan invariant and its role in classifying shapes.

Exploring the relationship between bistellar moves and manifolds through new algebraic structures.

This study introduces a novel approach to dimension reduction using semi-relaxed Gromov-Wasserstein distance.

Examining the role of matrix manifolds in enhancing deep learning models.

A look into the concept of Poincare duality and its impact on manifolds.

Learn how to compare probability measures on complex data structures.

Exploring methods to determine if one shape can fit into another.

Discover the complexities of non-Hausdorff manifolds through the line with two origins.

Examine the impact of barriers on chaotic transport in Hamiltonian systems.

A deep dive into the intricate world of Grassmannian optimization.

An approach to reduce complex PDEs into simpler ODEs using transnormal functions.

A new approach for nonlinear systems enhances modeling efficiency and accuracy.