Mathematics

Combinatorics The Magic of Continued Fractions

Discover how continued fractions simplify numbers and enhance calculations.

Michael J. Collins

2025-01-28T09:03:40+00:00 ― 5 min read

Optimization and Control The Role of Carleman Weight Functions in Control Theory

Discover how Carleman weight functions help manage complex systems effectively.

Ariel A. Pérez

2025-01-28T06:23:50+00:00 ― 5 min read

Optimization and Control Revolutionizing Set Operations: The Extended Set Difference

Learn how a new method simplifies complex set differences.

Arie Beresteanu, Behrooz Moosavi Ramezanzadeh

2025-01-28T03:44:00+00:00 ― 6 min read

Optimization and Control Optimizing Friendships: The Science Behind Party Planning

Learn how researchers solve complex problems to arrange perfect social gatherings.

Soodeh Habibi, Michal Kocvara, Michael Stingl

2025-01-28T01:04:10+00:00 ― 5 min read

Algebraic Geometry Unraveling Conjectures: A Mathematical Exploration

Dive into the intriguing world of projective varieties and key conjectures.

Hyunsuk Kim

2025-01-27T22:24:20+00:00 ― 9 min read

Algebraic Geometry The Intricacies of Superstring Theory and Geometry

Explore the fascinating concepts of superstrings and Riemann surfaces in theoretical physics.

Katherine A. Maxwell, Alexander A. Voronov

2025-01-27T21:10:58+00:00 ― 9 min read

Algebraic Geometry The Mumford Form: Bridging Math and Physics

Discover the Mumford form's role in connecting algebra and string theory.

Katherine A. Maxwell, Alexander A. Voronov

2025-01-27T20:23:12+00:00 ― 7 min read

Mathematical Physics Thermodynamics: The Dance of Energy and Geometry

Explore how geometry helps us understand thermodynamics and energy flow.

Manuel de León, Jaime Bajo

2025-01-27T19:35:26+00:00 ― 7 min read

Machine Learning Demystifying Tensors: A Simple Guide

Learn how tensors shape our understanding of complex data.

Shihao Shao, Yikang Li, Zhouchen Lin

2025-01-27T17:12:08+00:00 ― 6 min read

Combinatorics The Hidden Patterns of Tree Tiling in Graphs

Discover the intriguing structures of tree tiling in random graphs.

Sahar Diskin, Ilay Hoshen, Maksim Zhukovskii

2025-01-27T17:04:40+00:00 ― 6 min read

Computation and Language Boosting Math Skills in Bilingual AI Models

Research aims to enhance math reasoning in AI models for Hindi and English.

Avinash Anand, Kritarth Prasad, Chhavi Kirtani

2025-01-27T16:45:45+00:00 ― 6 min read

Machine Learning Revolutionizing Image Recovery: The MEM Method

Discover how the MEM method enhances image denoising through innovative techniques.

Matthew King-Roskamp, Rustum Choksi, Tim Hoheisel

2025-01-27T16:08:48+00:00 ― 6 min read

Dynamical Systems Understanding Dynamical Systems Through Data

Discover how data helps us interpret the changes in dynamical systems.

Suddhasattwa Das, Tomoharu Suda

2025-01-27T14:24:50+00:00 ― 8 min read

Analysis of PDEs The Fractional Nonlinear Schrödinger Equation: A Deep Dive

Explore the fractional nonlinear Schrödinger equation and its significance in math and physics.

Divyang G. Bhimani, Diksha Dhingra, Vijay Kumar Sohani

2025-01-27T11:45:00+00:00 ― 6 min read

Combinatorics The Art of Recoloring Graphs

Discover the fascinating process of recoloring vertices in graph theory.

Stijn Cambie, Wouter Cames van Batenburg, Daniel W. Cranston

2025-01-27T09:05:10+00:00 ― 5 min read

Rings and Algebras Unraveling the Sharp Partial Order in Matrices

Discover how matrices relate through the sharp partial order and its fascinating properties.

Cecilia R. Cimadamore, Laura A. Rueda, Néstor Thome

2025-01-27T06:25:20+00:00 ― 7 min read

Dynamical Systems Dance of Chaos: Unraveling Dynamical Systems

Exploring maximal entropy and ergodic measures in chaotic dynamical systems.

Chiyi Luo, Dawei Yang

2025-01-27T03:45:30+00:00 ― 8 min read

Dynamical Systems Unlocking the Mysteries of Rational Maps

Dive into the fascinating world of rational maps and their dynamics.

Jan Kiwi, Hongming Nie

2025-01-27T01:05:40+00:00 ― 8 min read

Probability Navigating Uncertainty with BSVIEs

BSVIEs blend finance and mathematics to manage uncertainty in decision-making.

Qian Lei, Chi Seng Pun

2025-01-26T22:38:00+00:00 ― 5 min read

Optimization and Control Infinite Programming: Unraveling Complexity in Mathematics

Discover how infinite programming problems shape real-world optimization tasks.

Ewa M. Bednarczuk, Krzysztof W. Leśniewski, Krzysztof E. Rutkowski

2025-01-26T22:25:50+00:00 ― 5 min read

Adaptation and Self-Organizing Systems The Dance of Double Explosive Transitions

Discover the rhythms of synchronization in complex networks.

Sangita Dutta, Prosenjit Kundu, Pitambar Khanra

2025-01-26T22:05:44+00:00 ― 6 min read

Optimization and Control Mastering Complex Decisions with Multiple Objectives

Learn how to balance competing goals in decision-making.

Anas Mifrani

2025-01-26T19:46:00+00:00 ― 6 min read

Logic Tense Logics: Understanding Time in Logic

Explore how tense logics help us understand time-related reasoning.

Qian Chen

2025-01-26T17:06:10+00:00 ― 6 min read

Optimization and Control Mastering Optimal Control in Transport Systems

A look into optimal control methods for managing transport systems effectively.

Tobias Breiten, Shubhaditya Burela, Philipp Schulze

2025-01-26T14:55:50+00:00 ― 6 min read

Dynamical Systems Bistable Differential Equations on Trees

Discover the dynamics of bistable systems within tree structures and their implications.

Petr Stehlík

2025-01-26T14:26:20+00:00 ― 7 min read

Exactly Solvable and Integrable Systems Understanding the Ferapontov-Shabat-Yamilov Lattice

Explore the FSY lattice and its applications in various systems.

Dmitry K. Demskoi

2025-01-26T10:57:00+00:00 ― 7 min read

Combinatorics Breaking Down Integer Partitions: The Math Behind Slices

Discover how integer partitions work and their significance in mathematics.

Taichiro Takagi

2025-01-26T09:06:40+00:00 ― 6 min read

Combinatorics Graphs and Tensors: Mapping Connections

Explore how graphs and tensors reveal relationships in data.

Chunmeng Liu, Changjiang Bu

2025-01-26T06:26:50+00:00 ― 6 min read

Combinatorics The Intricate World of Tight Trees and Ramsey Numbers

Uncovering the connections in math's tight trees and Ramsey numbers.

Jiaxi Nie

2025-01-26T03:47:00+00:00 ― 6 min read

Numerical Analysis Advancements in High-Order Numerical Methods

Exploring improved techniques for modeling nonconservative systems in various fields.

Shaoshuai Chu, Alexander Kurganov, Ruixiao Xin

2025-01-26T01:07:10+00:00 ― 5 min read

Numerical Analysis Navigating High-Order Methods in Balance Laws

Discover new ways to tackle complex fluid and wave systems.

Shaoshuai Chu, Alexander Kurganov, Mingye Na

2025-01-25T19:47:30+00:00 ― 6 min read

Combinatorics Understanding Graph Functionality: Connections That Matter

Explore how graph functionality impacts relationships and interactions in various fields.

John Sylvester, Viktor Zamaraev, Maksim Zhukovskii

2025-01-25T17:07:40+00:00 ― 5 min read

Optimization and Control Taming Noise in Control Systems

Engineers tackle noise challenges in data-driven control systems for better performance.

Xiong Zeng, Laurent Bako, Necmiye Ozay

2025-01-25T14:27:50+00:00 ― 6 min read

Differential Geometry Discovering the Secrets of Metric Spaces

An overview of metric spaces, curvature, and their fascinating properties.

Xin Qian

2025-01-25T06:28:20+00:00 ― 6 min read

Probability The Wild World of Bernoulli Excursions

Discover the fascinating patterns in random paths and their connections.

Vladislav Kargin

2025-01-25T03:48:30+00:00 ― 8 min read

Statistics Theory Bridging Statistics with Geometry: Empirical Likelihood and Fréchet Means

Explore the link between empirical likelihood and Fréchet means in complex data spaces.

Karthik Bharath, Huiling Le, Andrew T A Wood

2025-01-25T03:06:36+00:00 ― 6 min read

High Energy Physics - Theory The Colorful World of Brane Tilings

Explore brane tilings and their fascinating role in physics.

Yang-Hui He, Vishnu Jejjala, Tomás S. R. Silva

2025-01-25T01:30:48+00:00 ― 6 min read

Category Theory Untangling the World of Circuit Algebras

A deep dive into circuit algebras and their real-world applications.

Sophie Raynor

2025-01-25T01:08:40+00:00 ― 9 min read

High Energy Physics - Theory The Intriguing World of Orbifold Riemann Surfaces

Unraveling the mysteries of geometry and physics through orbifold Riemann surfaces.

Hossein Mohammadi, Ali Naseh, Behrad Taghavi

2025-01-25T00:43:02+00:00 ― 8 min read

High Energy Physics - Theory The Intricacies of Conformal Models in Physics

A look into how conformal models shape theoretical physics and mathematics.

P. Bantay

2025-01-24T23:55:16+00:00 ― 7 min read

Latest Articles for Mathematics