Mathematics

Symplectic Geometry Gromov's Non-Squeezing Theorem: A Deeper Look

Discover how Gromov's theorem challenges our understanding of shapes and spaces.

Shah Faisal

2025-02-02T03:36:30+00:00 ― 7 min read

Analysis of PDEs Understanding Parabolic Equations and Their Applications

Learn the basics of parabolic equations and their significance in real-world scenarios.

Pascal Auscher, Khalid Baadi

2025-02-02T00:56:40+00:00 ― 4 min read

Geometric Topology Surfaces in Four-Dimensional Spaces

Dive into the fascinating world of 4-manifolds and surfaces.

Arunima Ray

2025-02-01T22:16:50+00:00 ― 7 min read

Analysis of PDEs The Curious Case of Fractional Heat Equations

Exploring how singularities affect heat distribution in unique mathematical scenarios.

Joan Hernández

2025-02-01T19:37:00+00:00 ― 5 min read

Algebraic Geometry K-Stability: The Key to Fano Manifolds

Discover the significance of K-stability in complex geometry and Fano manifolds.

Tiago Duarte Guerreiro, Luca Giovenzana, Nivedita Viswanathan

2025-02-01T16:57:10+00:00 ― 6 min read

Number Theory The Intriguing World of Lambert Series

Explore the connections and identities in Lambert series and number theory.

Russelle Guadalupe

2025-02-01T14:17:20+00:00 ― 5 min read

High Energy Physics - Theory Heterotic Strings: A New Perspective

Dive into the complex world of heterotic strings and their unique properties.

Falk Hassler, David Osten, Yuho Sakatani

2025-02-01T14:13:50+00:00 ― 6 min read

Computation The Squared Bessel Process: A Financial Game Changer

Discover how the squared Bessel process transforms financial modeling and decision-making.

Simon J. A. Malham, Anke Wiese, Yifan Xu

2025-02-01T13:08:01+00:00 ― 5 min read

Classical Analysis and ODEs The Intrigue of Spread Furstenberg Sets

Discover the fascinating world of spread Furstenberg sets in geometry.

Paige Bright, Manik Dhar

2025-02-01T08:57:40+00:00 ― 6 min read

Machine Learning Unraveling the Mystery of Nonlinear Inverse Problems

Discover how researchers tackle complex mysteries in science and engineering.

Abhishake, Nicole Mücke, Tapio Helin

2025-02-01T08:02:50+00:00 ― 7 min read

Combinatorics The Fascinating World of 1-Planar Graphs

Explore the intriguing nature and applications of 1-planar graphs.

Saman Bazargani, Therese Biedl, Prosenjit Bose

2025-02-01T03:38:00+00:00 ― 6 min read

Numerical Analysis Understanding Non-local Conservation Laws in Real Life

Explore how non-local laws affect various real-world systems.

Nikhil Manoj, G. D. Veerappa Gowda, Sudarshan Kumar K

2025-01-31T22:18:20+00:00 ― 5 min read

Combinatorics The Enigmatic World of Thue-Morse Words

Discover the unique features and applications of Thue-Morse words in math and beyond.

M. Golafshan, M. Rigo, M. Whiteland

2025-01-31T19:38:30+00:00 ― 4 min read

Numerical Analysis Crafting Smooth Curves with Cubic Splines

Learn how cubic splines create smooth data representations using triangulations.

Tom Lyche, Carla Manni, Hendrik Speleers

2025-01-31T16:58:40+00:00 ― 7 min read

Dynamical Systems Unraveling Dynamic Systems with Kernel Methods

Discover how the Koopman operator and kernel methods analyze complex systems.

Jonghyeon Lee, Boumediene Hamzi, Boya Hou

2025-01-31T11:42:06+00:00 ― 7 min read

Combinatorics The Intrigue of Off-Diagonal Ramsey Numbers

Dive into the fascinating world of off-diagonal Ramsey numbers in graph theory.

Sammy Luo, Zixuan Xu

2025-01-31T11:39:00+00:00 ― 5 min read

Representation Theory Unraveling Kac-Moody Algebras: A Deep Dive

Discover the intricate world of Kac-Moody algebras and their significance.

Xinyu Li

2025-01-31T08:59:10+00:00 ― 6 min read

Quantum Physics Unlocking the Secrets of Tensor Networks

Discover how tensor networks reshape our understanding of quantum and machine learning.

Sergi Masot-Llima, Artur Garcia-Saez

2025-01-31T07:58:42+00:00 ― 6 min read

Explore the significance of nonlinear models and their impact on physics phenomena.

Philippe Lecheminant, Yuya Tanizaki, Keisuke Totsuka

2025-01-31T07:10:56+00:00 ― 7 min read

Analysis of PDEs The Fascinating World of Large Solutions

Discover the mysteries of large solutions in mathematics and their real-world applications.

Indranil Chowdhury, N. N. Dattatreya

2025-01-31T06:19:20+00:00 ― 6 min read

Representation Theory Connecting Tempiric Representations and Operator K-Theory

Explore the connections between tempiric representations and operator K-theory in mathematics.

Jacob Bradd, Nigel Higson, Robert Yuncken

2025-01-31T00:59:40+00:00 ― 6 min read

Combinatorics Connecting the Dots: The World of Graphs

Explore the fascinating connections and rules of graphs and Turán problems in this engaging article.

Xiamiao Zhao, Mei Lu

2025-01-30T22:19:50+00:00 ― 5 min read

Probability Understanding Particle Movement: The ASEP and S6V Models

A lighthearted look at complex particle models in math and physics.

Amol Aggarwal, Ivan Corwin, Milind Hegde

2025-01-30T16:03:22+00:00 ― 6 min read

Combinatorics The Intricacies of the Izergin-Korepin 19-Vertex Model

A deep dive into the world of complex particle systems.

Alexandr Garbali, Weiying Guo, Michael Wheeler

2025-01-30T15:15:36+00:00 ― 5 min read

Combinatorics The Hidden World of Hurwitz Numbers

Discover the fascinating role of Hurwitz numbers in math and science.

Nitin Kumar Chidambaram, Maciej Dołęga, Kento Osuga

2025-01-30T12:52:18+00:00 ― 4 min read

Geometric Topology The Fascinating World of Geometry

Discover the beauty of Kähler surfaces and their applications in science.

Yi Du

2025-01-30T11:40:30+00:00 ― 5 min read

Algebraic Geometry Connecting Shapes: The Dance of Algebraic Geometry

Discover the relationships between varieties and their fascinating properties in algebraic geometry.

Elisa Postinghel, Artie Prendergast-Smith

2025-01-30T09:00:40+00:00 ― 5 min read

Probability Decoding Random Graphs: A Closer Look

Discover the intriguing world of random graphs and their real-life applications.

Xiangyi Zhu, Yizhe Zhu

2025-01-30T06:20:50+00:00 ― 5 min read

Combinatorics Cycle Convexity: A Deep Dive into Graphs

Explore cycle convexity in graphs and its real-world applications.

Bijo S. Anand, Ullas Chandran S. V., Julliano R. Nascimento

2025-01-30T03:41:00+00:00 ― 5 min read

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

Latest Articles for Mathematics