Mathematics

Analysis of PDEs Decoding Capacitary Measures and Sobolev Spaces

A fun look at complex math concepts and their real-world uses.

Anna Lentz

2025-03-01T05:35:50+00:00 ― 6 min read

Analysis of PDEs Unlocking the Secrets of Elliptic Systems

Discover how elliptic systems shape our understanding of material behavior.

Michael Tsopanopoulos

2025-03-01T02:56:00+00:00 ― 6 min read

Spectral Theory The Fascinating World of Matrices and Eigenvalues

Discover the secrets of matrices, eigenvalues, and their rich behavior.

Gabriela Holubová, Petr Nečesal

2025-03-01T00:16:10+00:00 ― 7 min read

Number Theory Singular Matrices and Their Fascinating Dimensions

Explore the world of singular matrices and fractals.

Gaurav Aggarwal, Anish Ghosh

2025-02-28T21:36:20+00:00 ― 7 min read

Representation Theory Quantum Cluster Algebras: A New Perspective

Dive into the fascinating world of quantum cluster algebras and their connections.

Fan Xu, Yutong Yu

2025-02-28T18:56:30+00:00 ― 6 min read

Probability Unraveling Quasi-Geodesics in Particle Dynamics

Explore how particle behavior reveals insights into complex systems.

Patrik L. Ferrari, Min Liu

2025-02-28T16:16:40+00:00 ― 8 min read

Logic The Intriguing World of the Schreier Barrier

Dive into the fascinating concepts of the Schreier barrier and color-coded sets.

Lorenzo Carlucci, Oriola Gjetaj, Quentin Le Houérou

2025-02-28T13:36:50+00:00 ― 6 min read

Optimization and Control The Fast Reflected Forward-Backward Algorithm: A New Path in Optimization

Discover the Fast RFB algorithm and its impact on solving complex optimization problems.

Radu Ioan Bot, Dang-Khoa Nguyen, Chunxiang Zong

2025-02-28T10:57:00+00:00 ― 7 min read

Machine Learning Understanding Symmetries in Machine Learning

Learn how symmetries can improve machine learning models in recognizing objects.

Andrea Perin, Stephane Deny

2025-02-28T08:43:48+00:00 ― 6 min read

Functional Analysis Unlocking the Secrets of Interpolation in Function Spaces

Discover the role of interpolation in function spaces and its practical applications.

Gilbert J. Groenewald, Sanne ter Horst, Hugo J. Woerdeman

2025-02-28T05:37:20+00:00 ― 7 min read

Artificial Intelligence The Ramanujan Library: A New Era in Math Discovery

A digital library connecting mathematical constants to spark new discoveries.

Itay Beit-Halachmi, Ido Kaminer

2025-02-27T21:37:50+00:00 ― 7 min read

Numerical Analysis The Hidden Strength of Discrete Poincaré Inequalities

Discover how discrete Poincaré inequalities impact mathematics and real-world applications.

Alexandre Ern, Johnny Guzmán, Pratyush Potu

2025-02-27T18:58:00+00:00 ― 6 min read

Optimization and Control Mastering Mean Field Games: Strategies for Large Populations

Learn how mean field games optimize strategies in complex systems.

Wenyu Cong, Jingtao Shi, Bingchang Wang

2025-02-27T13:38:20+00:00 ― 7 min read

Representation Theory Unraveling Module Theory: A Deeper Look

Dive into the fascinating world of module theory and its key concepts.

Lorna Gregory

2025-02-27T05:38:50+00:00 ― 6 min read

Probability Understanding Stochastic Delay Differential Equations

Learn how randomness shapes change over time in various fields.

Julius Busse

2025-02-27T02:59:00+00:00 ― 7 min read

Classical Analysis and ODEs Simplifying Stein's Spherical Maximal Operator

Breaking down complex math concepts with simple ideas and geometry.

Jonathan Hickman, Ajša Jančar

2025-02-27T00:19:10+00:00 ― 6 min read

Combinatorics The Intriguing World of Random Graphs

Discover how random graphs shape our understanding of connections and rigidity.

Yuval Peled, Niv Peleg

2025-02-26T21:39:20+00:00 ― 7 min read

Quantum Physics Decoding Quantum Mechanics: Observables and Time

Dive into the world of quantum observables and their time evolution.

Gabriele Bressanini, Farhan Hanif, Hyukjoon Kwon

2025-02-26T19:16:30+00:00 ― 8 min read

Number Theory Illuminating Isolated Points in Modular Curves

Explore the fascinating relationship between isolated points and modular curves.

Kenji Terao

2025-02-26T18:59:30+00:00 ― 7 min read

Analysis of PDEs Fluid Dynamics: The Dance of Liquids

Explore the fascinating world of fluid behavior and its real-world applications.

Sauli Lindberg

2025-02-26T16:19:40+00:00 ― 6 min read

Computational Geometry Stable Coverage: Balancing Points and Disks

Discover how algorithms maintain coverage with minimal changes in dynamic environments.

Mark de Berg, Arpan Sadhukhan

2025-02-26T12:35:33+00:00 ― 6 min read

Combinatorics Spreading Secrets: The Art of Graph Burning

Discover how information spreads through networks using graph burning techniques.

Danielle Cox, M. E. Messinger, Kerry Ojakian

2025-02-26T11:00:00+00:00 ― 6 min read

Computer Science and Game Theory The Art of Fair Cake Division

Discover how to share cake equally and ensure everyone is satisfied.

Umang Bhaskar, A. R. Sricharan, Rohit Vaish

2025-02-26T10:11:06+00:00 ― 6 min read

Probability Connecting the Dots in Hyperbolic Space

A guide to random connections in complex spaces using simple concepts.

Matthew Dickson

2025-02-26T08:20:10+00:00 ― 5 min read

Classical Analysis and ODEs The Power of Haar Shifts in Mathematics

Discover how Haar shifts simplify the analysis of complex functions.

José M. Conde Alonso, Nathan A. Wagner

2025-02-26T05:40:20+00:00 ― 6 min read

Dynamical Systems The Dynamics of Robust Heteroclinic Cycles

Discover how robust cycles shape complex systems and their real-world impacts.

Sofia B. S. D. Castro, Alastair M. Rucklidge

2025-02-26T03:00:30+00:00 ― 6 min read

Algebraic Geometry Curves and Varieties: The Beauty of Geometry

Exploring rational normal curves and the ABCT variety in mathematics.

Daniele Agostini, Lakshmi Ramesh, Dawei Shen

2025-02-26T01:45:38+00:00 ― 8 min read

Functional Analysis Unlocking the Secrets of Function Spaces

Discover the fascinating world of function spaces and interpolation methods.

Moritz Egert, Benjamin W. Kosmala

2025-02-26T00:20:40+00:00 ― 6 min read

Algebraic Geometry Exploring the Depths of Moduli Spaces

A glimpse into the fascinating worlds of curves and their structures.

Siddarth Kannan, Terry Dekun Song

2025-02-26T00:10:06+00:00 ― 7 min read

High Energy Physics - Theory Taming the Infinities of Quantum Field Theory

Learn how physicists manage infinities in quantum field theory using regularisation techniques.

Antonio Padilla, Robert G. C. Smith

2025-02-25T23:22:20+00:00 ― 6 min read

Systems Biology Revolutionizing Kinetic Modeling for Biology

Discover how kinetic modeling transforms our understanding of biological processes.

Paul van Lent, Olga Bunkova, Lèon Planken

2025-02-25T22:57:57+00:00 ― 7 min read

Differential Geometry Understanding Riemannian Manifolds: A Deep Dive

Explore the shape and properties of curved spaces through Riemannian geometry.

Gioacchino Antonelli, Marco Pozzetta, Kai Xu

2025-02-25T19:01:00+00:00 ― 6 min read

Combinatorics The Fascinating World of Self-Avoiding Polygons

Discover the intriguing patterns of self-avoiding polygons on lattice grids.

Jean Fromentin, Pierre-Louis Giscard, Yohan Hosten

2025-02-25T16:21:10+00:00 ― 8 min read

Combinatorics Unraveling the World of Directed Graphs

Discover the fascinating structures of rooted arborescences and covering graphs.

Muchen Ju, Junjie Ni, Kaixin Wang

2025-02-25T13:41:20+00:00 ― 5 min read

Dynamical Systems Exploring the Intricacies of Lozi Maps

Discover the fascinating patterns and behaviors of Lozi maps in dynamic systems.

Kristijan Kilassa Kvaternik

2025-02-25T11:01:30+00:00 ― 6 min read

Numerical Analysis Navigating Complex Equations: Simplified Solutions

Discover clever approaches to tackle challenging mathematical equations and their significance.

Yvonne Alama Bronsard, Xi Chen, Matthieu Dolbeault

2025-02-25T08:21:40+00:00 ― 7 min read

Optimization and Control Mastering Optimal Transport for Real-World Solutions

Learn how optimal transport impacts logistics, data science, and everyday applications.

Sachin Shivakumar, Georgiy A. Bondar, Gabriel Khan

2025-02-25T05:41:50+00:00 ― 6 min read

Computational Geometry Crossing Numbers: Navigating Graph Theory Challenges

Discover the fascinating world of crossing numbers in graph theory.

Thekla Hamm, Fabian Klute, Irene Parada

2025-02-25T03:41:24+00:00 ― 5 min read

Machine Learning Neural Surrogates: A New Way to Solve PDEs

Neural surrogates enhance simulation accuracy by predicting changes over time.

Anthony Zhou, Amir Barati Farimani

2025-02-24T23:40:39+00:00 ― 8 min read

Probability The Dynamics of First-Passage Time: A Deep Dive

Explore how first-passage time impacts finance, health, and neuroscience.

Devika Khurana, Sascha Desmettre, Evelyn Buckwar

2025-02-24T19:02:30+00:00 ― 7 min read

Latest Articles for Mathematics