Mathematics

Dynamical Systems The Dance of Numbers: Cycles and Chaos

Discover the fascinating connection between cycles and chaos in mathematical systems.

Alexey Solyanik

2025-01-24T17:09:10+00:00 ― 6 min read

Logic Understanding Medvedev Frames in Logic

A deep dive into Medvedev frames and their impact on intuitionistic logic.

Zhicheng Chen, Yifeng Ding

2025-01-24T14:29:20+00:00 ― 6 min read

Optimization and Control Navigating Set Optimization with Conjugate Gradient Methods

Learn how nonlinear conjugate gradient methods tackle complex optimization problems.

Debdas Ghosh, Ravi Raushan, Zai-Yun Peng

2025-01-24T11:49:30+00:00 ― 5 min read

Operator Algebras Nest Algebras: A Deep Dive into Operators

Discover the fascinating world of nest algebras and their role in mathematics.

Pedro Costa, Martim Ferreira, Lina Oliveira

2025-01-24T09:09:40+00:00 ― 6 min read

Dynamical Systems The Magic of Entire Functions and Iteration

Explore the fascinating dynamics of entire functions and their surprising behaviors.

Konstantin Bogdanov

2025-01-24T06:29:50+00:00 ― 6 min read

Number Theory Partitioning Prime Numbers: A Deep Dive

Discover the fascinating world of prime partitions and their unique functions.

Anji Dong, Nicolas Robles, Alexandru Zaharescu

2025-01-24T03:50:00+00:00 ― 6 min read

Number Theory Unraveling the Mysteries of Exponential Sums

Discover the fascinating world of exponential sums and arithmetic functions in mathematics.

Anji Dong, Nicolas Robles, Alexandru Zaharescu

2025-01-24T01:10:10+00:00 ― 5 min read

Dynamical Systems Patterns in Nature: The Science Behind Reaction-Diffusion Systems

Explore the fascinating patterns formed by chemical reactions and their significance.

Gulsemay Yigit, Wakil Sarfaraz, Raquel Barreira

2025-01-23T22:30:20+00:00 ― 5 min read

Numerical Analysis Who Counts Better? A Dive into Number Formats

Comparing Posit, Takum, and traditional formats for counting integers.

Laslo Hunhold

2025-01-23T17:10:40+00:00 ― 7 min read

Numerical Analysis Revolutionizing Sparse Linear Systems with New Number Formats

New arithmetic formats enhance performance in solving sparse linear systems.

Laslo Hunhold, James Quinlan

2025-01-23T14:30:50+00:00 ― 6 min read

Numerical Analysis MscaleFNO: A New Wave in Operator Learning

Introducing MscaleFNO, a multi-scale approach reshaping how we study waves and materials.

Zhilin You, Zhenli Xu, Wei Cai

2025-01-23T09:11:10+00:00 ― 7 min read

Combinatorics The Strength of Graphs in Connectivity

Discover how strong graphs maintain connections in various fields.

Pablo Romero

2025-01-23T01:11:40+00:00 ― 6 min read

Combinatorics The Quest for Uniformly Most Reliable Graphs

Exploring how graphs maintain connections and find reliability in networks.

Pablo Romero

2025-01-22T22:31:50+00:00 ― 7 min read

Representation Theory The Allure of Quasi-Invariant Polynomials

Discover the fascinating world of quasi-invariant polynomials and their significance.

Frank Wang, Eric Yee

2025-01-22T19:52:00+00:00 ― 7 min read

Combinatorics Curvature in Trees: A Mathematical Perspective

Discover the role of curvature in understanding tree structures and their applications.

Sawyer Jack Robertson

2025-01-22T17:12:10+00:00 ― 8 min read

Spectral Theory The Page Metric: Revealing Black Hole Mysteries

Discover how the Page metric helps us understand black holes and their behavior.

Robie A. Hennigar, Hari K. Kunduri, Kam To Billy Sievers

2025-01-22T16:59:22+00:00 ― 6 min read

Computer Science and Game Theory The Strategy Behind Bidding Games

Discover the intriguing world of bidding games and decision-making strategies.

Guy Avni, Martin Kurečka, Kaushik Mallik

2025-01-22T16:23:15+00:00 ― 6 min read

Probability Diving Into High-Dimensional Permutons

Discover the fascinating world of high-dimensional permutons and their applications.

Jacopo Borga, Andrew Lin

2025-01-22T16:11:36+00:00 ― 4 min read

Representation Theory Matrix-Spherical Functions and Physics

Explore the link between matrix-spherical functions and physical theories.

Philip Schlösser, Mikhail Isachenkov

2025-01-22T15:23:50+00:00 ― 6 min read

High Energy Physics - Theory Branes and DAHA: A Cosmic Connection

Discover the fascinating link between branes and double affine Hecke algebra.

Junkang Huang, Satoshi Nawata, Yutai Zhang

2025-01-22T14:36:04+00:00 ― 5 min read

Combinatorics Trees in Mathematics: An Intricate Structure

Discover the fascinating world of mathematical trees and their various types.

Enrica Duchi, Gilles Schaeffer

2025-01-22T14:32:20+00:00 ― 7 min read

Mathematical Physics The Fascinating World of Non-Periodic Structures

Explore the unique properties of non-periodic structures and their impact on materials science.

Jacek Miȩkisz

2025-01-22T13:00:32+00:00 ― 7 min read

Combinatorics The Intriguing World of Double Grothendieck Polynomials

Discover the complexity and beauty of Grothendieck polynomials in mathematics.

Adam Gregory, Zachary Hamaker, Tianyi Yu

2025-01-22T11:52:30+00:00 ― 5 min read

Differential Geometry Unraveling Ideals in Lie Algebras

A light-hearted look at ideals in Lie algebras and their significance.

I. Ermeidis, M. Jotz

2025-01-22T09:12:40+00:00 ― 6 min read

High Energy Physics - Theory Unlocking the Secrets of Ricci-Flat Metrics

Discover how machine learning aids in understanding complex geometrical shapes.

Viktor Mirjanić, Challenger Mishra

2025-01-22T08:13:56+00:00 ― 6 min read

Metric Geometry Microsets and Dimensions: A Mathematical Journey

Explore the fascinating world of microsets and their dimensions in mathematics.

Richárd Balka, Vilma Orgoványi, Alex Rutar

2025-01-22T06:32:50+00:00 ― 7 min read

Systems and Control Crafting Stable Control Systems with Neural Networks

Designing controllers for stability and performance in complex systems.

Clara Lucía Galimberti, Luca Furieri, Giancarlo Ferrari-Trecate

2025-01-22T05:30:18+00:00 ― 7 min read

Combinatorics The Fascinating World of Diophantine Graphs

Discover the unique connections between numbers and graphs.

M. A. Seoud, A. Elsonbaty, A. Nasr

2025-01-22T03:53:00+00:00 ― 7 min read

Algebraic Geometry The Six-Functor Formalism in Mathematics

A look at the six functors and their impact on geometry and algebra.

Chirantan Chowdhury

2025-01-22T01:13:10+00:00 ― 5 min read

Statistical Mechanics The Lively World of Active Particles

Explore how active particles move and interact in their environment.

Pritha Dolai, Arghya Das

2025-01-22T01:04:02+00:00 ― 6 min read

Algebraic Geometry The Enigma of Brauer Groups in Curves

Discover the mystery behind disappearing Brauer groups in math.

Sebastian Bartling, Kazuhiro Ito

2025-01-21T22:33:20+00:00 ― 6 min read

Differential Geometry Unraveling the Wonders of Parabolic Geometries

Discover the intriguing world of parabolic geometries and their unique shapes.

Jan Slovák, Vladimír Souček

2025-01-21T17:13:40+00:00 ― 8 min read

Computation and Language Advancing LLMs: Tackling Math Challenges

Researchers improve LLMs' ability to handle math through innovative techniques.

Shuguang Chen, Guang Lin

2025-01-21T17:06:54+00:00 ― 7 min read

Optics Simplifying Fourier Transform in Ultrafast Optics

A straightforward guide to understanding Fourier Transform in ultrafast optics.

Yi-Hao Chen

2025-01-21T07:33:10+00:00 ― 7 min read

Optimization and Control Dynamics of Systems with State-Dependent Delays

Discover the complexities of differential equations with state-dependent delays and their real-world applications.

Jaqueline G. Mesquita, Tiago Roux Oliveira, Henrique C. dos Reis

2025-01-21T01:14:40+00:00 ― 7 min read

Algebraic Geometry Del Pezzo Surfaces: A Mathematical Marvel

Discover the beauty and complexity of del Pezzo surfaces in algebraic geometry.

Karol Palka, Tomasz Pełka

2025-01-20T22:34:50+00:00 ― 6 min read

Probability Harnessing Reflected McKean-Vlasov SDEs: A Guide

Explore the power of reflected McKean-Vlasov SDEs in complex systems.

P. D. Hinds, A. Sharma, M. V. Tretyakov

2025-01-20T21:22:56+00:00 ― 6 min read

Dynamical Systems The Colorful Dynamics of Reaction-Diffusion Equations

Discover the vibrant world of reaction-diffusion equations and perfect stationary solutions.

Vladimír Švígler, Jonáš Volek

2025-01-20T19:55:00+00:00 ― 6 min read

Probability Infection Dynamics: The SIRS Model Explained

Explore how diseases spread through the SIRS model on star graphs.

Phuc Lam, Oanh Nguyen, Iris Yang

2025-01-20T17:15:10+00:00 ― 5 min read

Number Theory The Sweet Math of Fruit Salads

Explore how weighted partitions reveal the math behind fruit salads and life choices.

Madhuparna Das

2025-01-20T14:35:20+00:00 ― 7 min read

Latest Articles for Mathematics