Mathematics

Probability The Dimer Model: Organizing Chaos in Mathematics

Learn how the dimer model helps organize complex pairings in graphs.

Christina Meng

2025-04-02T04:47:50+00:00 ― 6 min read

Probability The Dance of Particles and Slow Bonds

Discover how particles move and interact in spaces with obstacles.

Dirk Erhard, Tertuliano Franco, Tiecheng Xu

2025-04-01T18:08:30+00:00 ― 6 min read

Statistics Theory Reimagining Data Processing with Approximate Message Passing

Learn how new AMP variants tackle complex data challenges.

Songbin Liu, Junjie Ma

2025-04-01T16:14:10+00:00 ― 5 min read

K-Theory and Homology The Smooth Path of Algebra

Discover the importance of homological smoothness in algebraic structures.

Julian Le Clainche

2025-04-01T15:28:40+00:00 ― 5 min read

Group Theory Understanding Artin Groups: A Mathematical Exploration

Dive into the fascinating world of Artin groups and their intriguing properties.

Giorgio Mangioni, Alessandro Sisto

2025-04-01T12:48:50+00:00 ― 6 min read

Probability The Intriguing World of Graph Theory

Discover the dynamics of random graphs and the Karp-Sipser algorithm.

Thomas Budzinski, Alice Contat

2025-04-01T10:09:00+00:00 ― 6 min read

Statistical Mechanics The Intriguing World of Random Walks

Discover how random walks reveal patterns in nature and behavior.

Vicenç Méndez, Rosa Flaquer-Galmés, Arnab Pal

2025-04-01T08:08:36+00:00 ― 6 min read

Number Theory Counting Points on Toric Varieties: A Mathematical Quest

Researchers explore rational points on unique shapes called toric varieties.

Nicolas Bongiorno

2025-04-01T07:29:10+00:00 ― 6 min read

High Energy Physics - Theory Decoding Scattering Amplitudes in String Theory

A deep dive into string theory's scattering amplitudes and their implications.

Luis F. Alday, Gaston Giribet, Tobias Hansen

2025-04-01T07:20:50+00:00 ― 6 min read

Analysis of PDEs Understanding the Cahn-Hilliard-Biot Equations

Explore how materials behave during phase changes and their practical applications.

Erlend Storvik, Carina Bringedal

2025-04-01T04:49:20+00:00 ― 5 min read

Probability The Fun Dynamics of Particle Playgrounds

Discover how particles behave like kids on a playground.

Brune Massoulié

2025-04-01T02:09:30+00:00 ― 5 min read

Combinatorics Order in Chaos: The World of Plane Partitions

Discover how mathematicians find order in arrangements of numbers.

Jingxuan Li, Feihu Liu, Guoce Xin

2025-03-31T23:29:40+00:00 ― 7 min read

Dynamical Systems The Fascinating World of Cellular Automata

Discover how simple rules create complex behaviors in cellular automata.

Hugo Marsan, Mathieu Sablik

2025-03-31T15:30:10+00:00 ― 5 min read

Machine Learning Measuring Similarity: A Fun Dive into Distance Functions

Learn how machines measure similarity between items through distance functions and queries.

Akash Kumar, Sanjoy Dasgupta

2025-03-31T14:48:15+00:00 ― 6 min read

Machine Learning How Language Models Shift: A Deep Dive into BKT Transitions

Explore the connections between language models and physical phenomena in an engaging way.

Yuma Toji, Jun Takahashi, Vwani Roychowdhury

2025-03-31T09:43:04+00:00 ― 9 min read

Logic in Computer Science New Insights in Propositional Dynamic Logic

Discover a fresh approach to fixed-point equations in software logic.

Tim S. Lyon

2025-03-31T04:50:50+00:00 ― 6 min read

Computational Geometry Connecting Communities: The Steiner Line Challenge

A look at the Euclidean Steiner Line Problem and its practical applications.

Simon Bartlmae, Paul J. Jünger, Elmar Langetepe

2025-03-31T01:25:30+00:00 ― 5 min read

Representation Theory The Drama of Representation Theory

Explore the captivating characters and plots within representation theory.

Clifton Cunningham, Sarah Dijols, Andrew Fiori

2025-03-30T23:31:10+00:00 ― 5 min read

Logic Diving into Set Theory and Measurable Cardinals

A journey through the world of set theory and measurable cardinals.

Omer Ben-Neria, Eyal Kaplan

2025-03-30T20:51:20+00:00 ― 6 min read

Analysis of PDEs Understanding Space-Time Fractional Diffusion Equations

Explore how fractional diffusion equations explain complex particle movements.

Mohamed BenSalah, Salih Tatar

2025-03-30T15:31:40+00:00 ― 5 min read

Combinatorics Coloring the Connections: Edge Coloring in Graphs

Discover the role of edge coloring in understanding graphs and relationships.

Yuping Gao, Songling Shan, Guanghui Wang

2025-03-30T12:51:50+00:00 ― 4 min read

Optimization and Control The Fascinating World of Tempered Fractional Systems

Explore the role of tempered fractional systems in mathematics and real-life applications.

Ilyasse Lamrani, Hanaa Zitane, Delfim F. M. Torres

2025-03-30T10:12:00+00:00 ― 6 min read

Representation Theory Interconnections in the Geometric Whittaker Model

Discover the fascinating links between algebraic geometry and representation theory.

Ashutosh Roy Choudhury, Tanmay Deshpande

2025-03-30T07:32:10+00:00 ― 5 min read

Algebraic Geometry The Fascinating World of K3 Surfaces

Discover the intriguing properties and challenges of K3 surfaces in mathematics.

Ekaterina Amerik, Mikhail Lozhkin

2025-03-30T04:52:20+00:00 ― 7 min read

Dynamical Systems The Fun of Proper Continued Fractions

Discover how proper continued fractions help approximate irrational numbers.

Niels Langeveld, David Ralston

2025-03-30T02:12:30+00:00 ― 7 min read

Algebraic Geometry Demystifying Deligne-Mumford Stacks and Motivic Cohomology

A friendly guide to complex math concepts in algebraic geometry.

Utsav Choudhury, Neeraj Deshmukh, Amit Hogadi

2025-03-29T23:32:40+00:00 ― 6 min read

Analysis of PDEs The Dance of Light: Nonlinear Optics Revealed

Discover how light behaves in materials and its real-world impact.

Nils Margenberg, Markus Bause

2025-03-29T22:01:38+00:00 ― 5 min read

Statistical Mechanics Understanding the Discrete Gauss-Poisson Distribution

Discover how a unique probability distribution reveals particle interactions.

O. A. Dobush, M. A. Shpot

2025-03-29T21:13:52+00:00 ― 6 min read

Differential Geometry The Allure of Constant Mean Curvature Surfaces

Discover the fascinating world of constant mean curvature surfaces and their mathematical beauty.

Martin Kilian

2025-03-29T20:52:50+00:00 ― 6 min read

Mathematical Physics Knots Revealed: The Harer-Zagier Transform

Discover how a mathematical tool changes our view on knots and links.

Andreani Petrou, Shinobu Hikami

2025-03-29T18:50:34+00:00 ― 6 min read

Dynamical Systems Chaos and Order in Dynamical Systems

Exploring the balance between chaos and predictability in mathematical systems.

Chiyi Luo, Wenhui Ma, Yun Zhao

2025-03-29T18:13:00+00:00 ― 6 min read

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

Latest Articles for Mathematics