Latest Articles for Mathematical Analysis

A method using Fourier expressions to analyze modern neural networks effectively.

Explore the role of sheaves in modern mathematics and their significant results.

Discover the significance of Mumford curves in algebraic geometry and number theory.

Analyzing termination issues in nondeterministic quantum programs using mathematical techniques.

Exploring how collective coordinates simplify complex systems in quantum physics.

Examining the well-posedness and structure of the NLS equation hierarchy.

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

Cousin complexes are essential tools in various mathematical fields, enhancing understanding of sheaves and cohomology.

This study reveals insights into how numbers can be expressed as products.

Exploring the significance of contact forms and systolic geometry in mathematics.

A look at the capabilities and analysis of Graph Neural Networks in various fields.

An in-depth look at caloric functions in fractional heat equations.

An overview of tools aiding quantum system simulations.

An overview of automorphic forms and their significance in number theory and beyond.

A study presents wavelet-based resolvent analysis for improved understanding of turbulent fluid dynamics.

An overview of Hastings-McLeod functions and their significance in mathematics.

A study on multiplier polynomials and their impact on dynamical systems.

Exploring Teichmüller curves and their significance in understanding surface properties.

Analyzing conditions for solvability in pseudodifferential operators of subprincipal type.

An exploration of geodesic flow and its patterns in complex, non-integrable manifolds.

An analysis of SGD behavior in machine learning with insights on eigenvalues and training stability.

This study examines how thin layers affect heat transfer in materials.

An overview of quadrature domains, weight functions, and their key properties.

Exploring wave interactions and their properties in quantum field theory.

A look at Toeplitz operators in Bergman and Fock spaces.

An overview of harmonic maps and their significance in geometry and topology.

Exploring the behavior of operators influenced by magnetic fields.

Exploring the world of overpartitions and their mathematical significance.

This article studies how random walkers move in Galton-Watson trees with Dirichlet environments.

Exploring new findings on the Riemann zeta function and its zeros.

Reproducing kernels are vital for function analysis and interpolation techniques.

Exploring key properties and implications of Dirichlet functions in number theory.

A look at how Poisson shot noise impacts wireless signal quality.

A clear look at key concepts in set theory and topology.

An overview of box dimension and its significance in dynamical systems.

This study investigates stability in forced Lur'e systems within engineering applications.

This article explores the link between torsion and skein modules in compact oriented manifolds.

This paper explores extending Euler products using the Factorization Method.

A look at the significance and properties of Siegel cusp forms.

Exploring the characteristics and methods for solving the Painlevé III equation.