Latest Articles for Mathematics

Dynamical Systems The Dance of Weak Mixing in Diffeomorphisms

Discover how mathematics explains mixing in systems with smooth transformations.

Shilpak Banerjee, Divya Khurana, Philipp Kunde

2025-01-20T01:16:10+00:00 ― 6 min read

Machine Learning Understanding Signed Graphs and Communities

Discover how signed graphs reveal relationships among friends and foes.

Sawyer Jack Robertson

2025-01-20T01:02:12+00:00 ― 5 min read

High Energy Physics - Lattice The Dance of Learning: SGD and RMT in Machine Learning

Discover how SGD and RMT shape learning in machine learning models.

Chanju Park, Matteo Favoni, Biagio Lucini

2025-01-20T00:30:16+00:00 ― 6 min read

Analysis of PDEs Understanding Differential Inequalities and Their Applications

Explore how differential inequalities relate to shapes and real-world applications.

Anuk Dayaprema

2025-01-19T22:36:20+00:00 ― 5 min read

Computational Complexity Simplifying Logic: The k-CNF Formula

Exploring k-CNF formulas and their role in threshold functions.

Mohit Gurumukhani, Marvin Künnemann, Ramamohan Paturi

2025-01-19T20:10:30+00:00 ― 6 min read

Functional Analysis Piecing Together the Truncated Moment Problem

Reconstructing data from limited information in mathematics.

Seonguk Yoo, Aljaz Zalar

2025-01-19T19:56:30+00:00 ― 6 min read

Data Structures and Algorithms Highway Dimension: Rethinking Navigation Systems

Discover how highway dimension improves route planning and traffic flow.

Andreas Emil Feldmann, Arnold Filtser

2025-01-19T19:22:21+00:00 ― 6 min read

Quantum Algebra Understanding Non-Split Tambara-Yamagami Categories

A look into the fascinating world of mathematical braidings.

David Green, Yoyo Jiang, Sean Sanford

2025-01-19T17:16:40+00:00 ― 5 min read

Combinatorics Understanding Turán Density in Friend Groups

A look into Turán density and its implications in social connections.

Levente Bodnár, Jared León, Xizhi Liu

2025-01-19T14:36:50+00:00 ― 5 min read

Logic in Computer Science Unpacking Computation: RASMs and Beyond

A deep dive into innovative computation models using RASMs and RASMPs.

Desmond Lau

2025-01-19T14:33:27+00:00 ― 7 min read

High Energy Physics - Theory The Mystique of Topological Defects in VOAs

Discover how topological defects bridge math and physics.

Roberto Volpato

2025-01-19T13:21:32+00:00 ― 6 min read

Combinatorics The Spread of Laughter: Bootstrap Percolation Explained

Explore how infections spread through graphs using bootstrap percolation.

Fengxing Zhu

2025-01-19T11:57:00+00:00 ― 5 min read

Computation and Language LLM2: A Step Towards Smarter AI

LLM2 framework improves language models by mimicking human reasoning.

Cheng Yang, Chufan Shi, Siheng Li

2025-01-19T06:31:57+00:00 ― 6 min read

Complex Variables The Fascinating World of Univalent Functions

Uncover the unique properties and applications of univalent functions in mathematics.

Teodor Bulboacă, Milutin Obradović, Nikola Tuneski

2025-01-19T03:57:30+00:00 ― 5 min read

High Energy Physics - Theory Understanding Particle Interactions Through Surfaces

Physicists are using surfaces to rethink particle collisions and gain new insights.

Nima Arkani-Hamed, Hadleigh Frost, Giulio Salvatori

2025-01-19T03:00:34+00:00 ― 7 min read

General Topology Cover Spaces: A Simple Guide to Complex Ideas

Learn the basics of cover spaces and their significance in mathematics.

Valery Isaev

2025-01-19T01:17:40+00:00 ― 5 min read

Combinatorics The Colorful World of Graphs

A dive into outerplanar graphs and their unique coloring properties.

Chenglong Deng, Xuding Zhu

2025-01-18T22:37:50+00:00 ― 6 min read

Operator Algebras The Beauty of Symmetry in Mathematics

Explore symmetry's role in algebras and its impact on understanding complex problems.

David Herrera

2025-01-18T19:58:00+00:00 ― 5 min read

Quantum Algebra Nichols Algebras: A Deep Dive

Discover the fascinating world of Nichols algebras and their classifications.

C. Yuan, C. Qian, J. Wang

2025-01-18T17:18:10+00:00 ― 4 min read

Quantum Algebra The Intriguing World of Modular Categories

Discover the connections between modular categories and quantum physics.

Zhiqiang Yu, Qing Zhang

2025-01-18T14:38:20+00:00 ― 7 min read

Dynamical Systems Understanding the Zeta Function and Schottky Groups

A simple guide to the zeta function and its connections with Schottky groups.

Jialun Li, Carlos Matheus, Wenyu Pan

2025-01-18T11:58:30+00:00 ― 6 min read

Logic in Computer Science Advancements in Interactive Theorem Provers

Discover how HOLALA improves proof efficiency in interactive theorem proving.

Shuai Wang

2025-01-18T09:40:03+00:00 ― 6 min read

Algebraic Geometry Unlocking the Secrets of Tropical Intersection Homology

A fresh look at the intersection of geometry and algebra.

Ryota Mikami

2025-01-18T09:18:40+00:00 ― 5 min read

Logic in Computer Science ProofCloud: Your Guide to Higher Order Logic

Discover an efficient way to find verified higher order logic proofs.

Shuai Wang

2025-01-18T08:03:45+00:00 ― 5 min read

Category Theory Understanding the Intricacies of Operator Spaces

Operator spaces reshape our view of mathematics, especially in quantum theories.

Bert Lindenhovius, Vladimir Zamdzhiev

2025-01-18T03:59:00+00:00 ― 6 min read

Probability The Fascinating World of Diffusion Processes

Discover how diffusion processes shape movement and spread across various fields.

Saber Jafarizadeh

2025-01-18T01:19:10+00:00 ― 5 min read

High Energy Physics - Theory Spiraling Branes: A Journey Through Integrability

Exploring the link between spiraling branes and integrable systems in physics.

Yegor Zenkevich

2025-01-17T22:20:58+00:00 ― 7 min read

Differential Geometry The Geometry of Four Dimensions: A Dance of Shapes

Exploring four-dimensional shapes and the role of Weyl tensors in geometry.

Amir Babak Aazami

2025-01-17T21:33:12+00:00 ― 7 min read

Mathematical Physics The Hidden Gems of Topological Phases

Discover the fascinating world of topological phases and their impact on technology.

Roman Geiko

2025-01-17T20:45:26+00:00 ― 7 min read

Quantum Physics Quantum Error Correction: A New Frontier

Exploring efficient methods for quantum error correction in computing.

Ching-Feng Kung, Kao-Yueh Kuo, Ching-Yi Lai

2025-01-17T15:58:50+00:00 ― 6 min read

Artificial Intelligence HunyuanProver: A Leap in Theorem Proving

Discover how HunyuanProver changes the way we tackle complex math problems.

Yang Li, Dong Du, Linfeng Song

2025-01-17T15:12:36+00:00 ― 6 min read

Combinatorics Ramanujan Graphs: The Math Superstars

Discover the fascinating world of Ramanujan graphs and their real-world impact.

Nikhil Srivastava

2025-01-17T14:39:50+00:00 ― 6 min read