Latest Articles for Mathematics

Differential Geometry The Enigma of Special Lagrangian Pants

Discover the unique geometric shapes behind the Donaldson-Scaduto conjecture.

Gorapada Bera, Saman Habibi Esfahani, Yang Li

2025-01-30T01:01:10+00:00 ― 6 min read

Optimization and Control The Dynamics of Sweeping Processes

Learn how sweeping processes shape our understanding of movement and interaction.

Matías Godoy, Manuel Torres-Valdebenito, Emilio Vilches

2025-01-29T22:21:20+00:00 ― 6 min read

Analysis of PDEs Secrets of Group Movement Revealed

Discover how science explains synchronized movement in nature.

Shikun Cui, Lili Wang, Wendong Wang

2025-01-29T19:41:30+00:00 ― 7 min read

Classical Analysis and ODEs Unlocking the Secrets of Generalized Trigonometric Integrals

Discover the fascinating world of generalized trigonometric integrals and their applications.

Gergő Nemes

2025-01-29T17:01:40+00:00 ― 7 min read

Geometric Topology Knot Theory Explained: The Role of Skein Invariants

Discover how skein invariants simplify the study of knot theory.

Igor Nikonov

2025-01-29T11:42:00+00:00 ― 9 min read

Statistical Mechanics The Intriguing World of Relativistic Particles

Discover random velocities and their impact on particle behavior near light speed.

Lucas G. B. de Souza, M. G. E. da Luz, E. P. Raposo

2025-01-29T09:48:14+00:00 ― 8 min read

Dynamical Systems Chaos Meets Order: Stochastic Stability Unraveled

Discover how systems stay stable amidst noise and randomness in nature.

Jifa Jiang, Xi Sheng, Yi Wang

2025-01-28T19:43:00+00:00 ― 6 min read

High Energy Physics - Theory Nested Holography: A Dance of Theories

Explore how different physics models connect in surprising ways.

Kostas Filippas

2025-01-28T15:29:36+00:00 ― 7 min read

Algebraic Topology The Challenge of Robot Movement

How robots navigate narrow spaces without collisions.

Nicholas Wawrykow

2025-01-28T14:23:20+00:00 ― 7 min read

Numerical Analysis Navigating Volatility in Financial Markets

Understanding volatility and its impact on trading decisions.

Jorge P. Zubelli, Kuldeep Singh, Vinicius Albani

2025-01-28T12:24:20+00:00 ― 6 min read

Quantum Physics Quantum Gradient Descent: A New Approach

Exploring a new quantum method for faster optimization in various fields.

Nhat A. Nghiem

2025-01-28T09:55:14+00:00 ― 5 min read

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