Mathematics

Analysis of PDEs The Fascinating World of Vortex Filaments

Discover the swirling motions of fluids and their chaotic beauty.

Valeria Banica, Daniel Eceizabarrena, Andrea. R. Nahmod

2025-03-29T18:02:48+00:00 ― 6 min read

Combinatorics The Fascinating World of Algebraic Combinatorics

Discover the joy of combining algebra and combinatorics in mathematics.

Florent Hivert

2025-03-29T15:33:10+00:00 ― 6 min read

Analysis of PDEs The Search for Life in Degenerate Equations

Exploring non-trivial solutions in degenerate elliptic equations.

Kaushik Bal, Sanjit Biswas

2025-03-29T12:53:20+00:00 ― 8 min read

Numerical Analysis The Magic of Quaternions in 3D Space

Discover how quaternions streamline 3D rotations and data analysis.

Julien Flamant, Xavier Luciani, Sebastian Miron

2025-03-29T10:13:30+00:00 ― 4 min read

Numerical Analysis Unraveling Hyperbolic Systems in Physics

Discover the complexities of hyperbolic systems and their impacts on real-world phenomena.

Brittany A. Erickson

2025-03-29T07:33:40+00:00 ― 7 min read

Computational Complexity The Efficiency of Parity Decision Trees

Discover how parity decision trees optimize decision-making using advanced query techniques.

Tyler Besselman, Mika Göös, Siyao Guo

2025-03-29T05:17:15+00:00 ― 6 min read

Numerical Analysis Exploring Hilbert Spaces and Gaussian Kernels

Dive into the world of functions in Hilbert spaces and their applications.

Michael Gnewuch, Klaus Ritter, Robin Rüßmann

2025-03-29T04:53:50+00:00 ― 8 min read

Combinatorics Navigating Unsplittable Multiflow Networks

Learn how unsplittable multiflows efficiently route demands in networks.

Mohammed Majthoub Almoghrabi, Martin Skutella, Philipp Warode

2025-03-28T18:14:30+00:00 ― 6 min read

Computational Engineering, Finance, and Science Quantum Computing: A Glimpse into the Future

Discover the potential of quantum computing in solving complex problems.

Giorgio Tosti Balducci, Boyang Chen, Matthias Möller

2025-03-28T12:54:50+00:00 ― 6 min read

Chaotic Dynamics Unlocking the Secrets of Symplectic Maps

Discover how symplectic maps help us understand complex systems and their dynamics.

Tim Zolkin, Sergei Nagaitsev, Ivan Morozov

2025-03-28T09:24:22+00:00 ― 7 min read

Mathematical Physics Mastering Multivectors: Challenges and Solutions

Discover how to tackle non-diagonalizable matrices with innovative methods.

A. Acus, A. Dargys

2025-03-28T08:36:36+00:00 ― 5 min read

Dynamical Systems The Hidden Math of Fractals and Sofic Sets

Discover how shapes reveal secrets of dimensions and complexity.

Nima Alibabaei

2025-03-28T07:35:10+00:00 ― 8 min read

Numerical Analysis Mastering the Finite Difference Method

Learn how FDM simplifies complex equations through grids and variable meshes.

Mário B. Amaro

2025-03-28T07:01:04+00:00 ― 6 min read

Quantum Physics Unlocking the Future: Quantum Computing and Optimization

Explore how quantum computing transforms problem-solving and optimization strategies.

Miquel Albertí Binimelis

2025-03-28T06:13:18+00:00 ― 8 min read

Probability The Dance of Particles: Harmonic Measure and Brownian Motion

Explore the intriguing world of harmonic measure and Brownian motion.

Greg Markowsky, Clayton McDonald

2025-03-28T04:55:20+00:00 ― 5 min read

Probability Navigating Rough Stochastic Differential Equations

A look into RSDEs and their impact on decision-making in uncertain environments.

Peter K. Friz, Khoa Lê, Huilin Zhang

2025-03-28T02:15:30+00:00 ― 6 min read

Optimization and Control Navigating Optimization with InmBDCA

Learn how InmBDCA simplifies complex optimization problems without striving for perfection.

Orizon P. Ferreira, Boris S. Mordukhovich, Wilkreffy M. S. Santos

2025-03-27T23:35:40+00:00 ― 7 min read

Rings and Algebras Bicomplex Numbers: A New Perspective on Mathematics

Discover the fascinating world of bicomplex numbers and their unique properties.

Amita, Mamta Amol Wagh, Suman Kumar

2025-03-27T20:55:50+00:00 ― 6 min read

Algebraic Geometry Ten Points on a Quadric Surface: A Geometry Quest

Explore the challenge of fitting ten points on a quadric surface.

Will Traves

2025-03-27T18:16:00+00:00 ― 6 min read

Social and Information Networks New Insights into Bipartite Graph Communities

Discovering influential communities in bipartite graphs and their real-world applications.

Yanxin Zhang, Zhengyu Hua, Long Yuan

2025-03-27T15:34:12+00:00 ― 6 min read

Machine Learning Neural Operators: A Game Changer for PDEs

Neural operators offer new solutions for complex partial differential equations in science and engineering.

Xianliang Xu, Ye Li, Zhongyi Huang

2025-03-27T10:16:30+00:00 ― 7 min read

Analysis of PDEs The Dynamics of a Vibrating String

A deep dive into how a string interacts with rigid surfaces.

Boris Muha, Srđan Trifunović

2025-03-27T07:36:40+00:00 ― 9 min read

Rings and Algebras Understanding the Length of Algebras

Explore the significance and complexity of algebra lengths in mathematics.

M. A. Khrystik

2025-03-27T04:56:50+00:00 ― 7 min read

Combinatorics Maximal Planar Graphs and Their Secrets

Discover the fascinating world of maximal planar graphs and their saturation properties.

Alexander Clifton, Dániel G. Simon

2025-03-27T02:17:00+00:00 ― 6 min read

Geometric Topology The Intricacies of Tangles and Their Secrets

Unveiling the fascinating world of tangles and their mathematical significance.

Kai Smith

2025-03-26T23:37:10+00:00 ― 4 min read

Quantum Physics Mastering Quantum Error Correction

Learn how quantum error correction shapes the future of computing.

Valentine Nyirahafashimana, Nurisya Mohd Shah, Umair Abdul Halim

2025-03-26T21:34:52+00:00 ― 7 min read

Operator Algebras The Intriguing World of Group Algebras

Discover how group algebras help compare mathematical structures with strict comparison.

Tattwamasi Amrutam, David Gao, Srivatsav Kunnawalkam Elayavalli

2025-03-26T20:57:20+00:00 ― 5 min read

Quantum Physics Nonlocal Coherent States: A Quantum Exploration

Discover the intriguing world of nonlocal coherent states in quantum physics.

A. Sowa, J. Fransson

2025-03-26T20:47:06+00:00 ― 7 min read

Algebraic Geometry The Fascinating World of Fano Threefolds

Explore the unique properties and implications of Fano threefolds in geometry.

Anya Nordskova, Michel Van den Bergh

2025-03-26T18:17:30+00:00 ― 9 min read

Dynamical Systems The Dance of Random Self-Similar Measures

Delve into the intriguing world of self-similar measures and randomness.

Balázs Bárány, Michał Rams

2025-03-26T15:37:40+00:00 ― 5 min read

Complex Variables Transformations of Surfaces in Mathematics

Explore how surfaces change and connect in complex analysis.

Alexandre Eremenko, Sergei Merenkov

2025-03-26T12:57:50+00:00 ― 6 min read

Optimization and Control Navigating Mathematical Programs with Equilibrium Constraints

Discover MPECs and their real-world applications through implicit programming.

Helmut Gfrerer, Michal Kočvara, Jiří V. Outrata

2025-03-26T10:18:00+00:00 ― 6 min read

Machine Learning Squared Circuits: A New Approach to Machine Learning

Exploring squared circuits and orthonormalization in machine learning.

Lorenzo Loconte, Antonio Vergari

2025-03-26T08:16:21+00:00 ― 6 min read

Optimization and Control Tackling Nonsmooth Optimization: A New Approach

Discover a fresh method for managing tricky optimization challenges.

Juan Guillermo Garrido, Pedro Pérez-Aros, Emilio Vilches

2025-03-26T07:38:10+00:00 ― 6 min read

Combinatorics The Fascinating World of Transversals

Discover the rules and beauty behind transversals in combinatorial design.

Michael Anastos, Patrick Morris

2025-03-26T04:58:20+00:00 ― 6 min read

Instrumentation and Methods for Astrophysics Revolutionizing Spacecraft Path Predictions with TDSTT

TDSTT transforms how we predict spacecraft movements in complex orbits.

Xingyu Zhou, Roberto Armellin, Dong Qiao

2025-03-26T04:51:46+00:00 ― 6 min read

Number Theory The Importance of the Dirichlet Spectrum

Discover how the Dirichlet spectrum impacts number approximation and its applications.

Alon Agin, Barak Weiss

2025-03-26T02:18:30+00:00 ― 6 min read

Spectral Theory The Chaos of Random Fields on Spheres

Scientists study how randomness evolves on spherical surfaces like Earth.

Tareq Alodat, Quoc T. Le Gia

2025-03-25T23:38:40+00:00 ― 5 min read

Numerical Analysis Simplifying Complex Data with Tensors

Discover how tensors and their approximations transform data analysis across various fields.

Alberto Bucci, Gianfranco Verzella

2025-03-25T20:58:50+00:00 ― 6 min read

Combinatorics The Fascinating World of Permutation Clones

Discover the intricate structures and possibilities of permutation clones in mathematics.

Tim Boykett

2025-03-25T18:19:00+00:00 ― 5 min read

Latest Articles for Mathematics