Mathematics - Probability

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Mathematical Finance Understanding the Capital Asset Pricing Model and Stock Behavior

A look into small vs. large stocks and investment risks.

Abraham Atsiwo, Andrey Sarantsev

2025-04-23T23:10:36+00:00 ― 7 min read

Latest Articles

Optimization and Control Mastering Multi-Channel Queueing Systems

Learn how multi-channel queueing systems manage requests efficiently.

M. V. Yashina, A. G. Tatashev

2025-04-15T12:27:50+00:00 ― 5 min read

Probability Understanding Disease Spread with Models

Learn how mathematical models help track and predict disease outbreaks.

Armand Kanga, Etienne Pardoux

2025-04-13T23:10:10+00:00 ― 4 min read

Cryptography and Security Revolutionizing Insurance with Blockchain Technology

Discover how blockchain simplifies insurance with parametric solutions.

Pierre-Olivier Goffard, Stéphane Loisel

2025-04-10T04:35:50+00:00 ― 6 min read

Probability Causal Transport: Connecting Events Over Time

Discover how causal transport moves information while respecting the order of events.

Rama Cont, Fang Rui Lim

2025-04-09T23:16:10+00:00 ― 6 min read

Probability Unlocking the Mysteries of Planar Maps

Dive into the world of geodesics on random planar maps.

Emmanuel Kammerer

2025-04-09T04:37:20+00:00 ― 6 min read

Probability The Ising Model: Clustering and Chaos

Explore the Ising model's insights on spin interactions and phase transitions.

Ahmed El Alaoui

2025-04-07T18:35:20+00:00 ― 5 min read

Quantum Physics Quantum Neural Networks: The Future of Machine Learning

Discover how quantum computing shapes machine learning through innovative networks.

Anderson Melchor Hernandez, Filippo Girardi, Davide Pastorello

2025-04-07T15:24:16+00:00 ― 7 min read

Statistics Theory Adapting Predictions in a Changing World

Learn to navigate the challenges of shifting data in prediction models.

Philip Kennerberg, Ernst C. Wit

2025-04-07T09:34:07+00:00 ― 8 min read

Optimization and Control Preparing for the Unexpected: Mastering Risk Measurement

Learn how robust risk measurement helps navigate uncertainty in decision-making.

Guanyu Jin, Roger J. A. Laeven, Dick den Hertog

2025-04-06T04:36:40+00:00 ― 7 min read

Probability Decoding the Dance of Randomness: WTFBFs

Discover the fascinating world of Weighted Tensorized Fractional Brownian Fields and their applications.

Céline Esser, Laurent Loosveldt, Béatrice Vedel

2025-04-05T02:03:30+00:00 ― 7 min read

Numerical Analysis Deep Operator BSDE: A Game Changer in Financial Predictions

A new method combines neural networks with BSDEs for better financial insights.

Giulia Di Nunno, Pere Díaz Lozano

2025-04-03T07:26:10+00:00 ― 6 min read

Probability The Dimer Model: Organizing Chaos in Mathematics

Learn how the dimer model helps organize complex pairings in graphs.

Christina Meng

2025-04-02T04:47:50+00:00 ― 6 min read

Probability The Buzzing World of Brownian Bees

Discover the fascinating dynamics of Brownian bees and their unpredictable dance.

Jacob Mercer

2025-04-02T02:08:00+00:00 ― 8 min read

Probability The Dance of Particles and Slow Bonds

Discover how particles move and interact in spaces with obstacles.

Dirk Erhard, Tertuliano Franco, Tiecheng Xu

2025-04-01T18:08:30+00:00 ― 6 min read

Statistics Theory Reimagining Data Processing with Approximate Message Passing

Learn how new AMP variants tackle complex data challenges.

Songbin Liu, Junjie Ma

2025-04-01T16:14:10+00:00 ― 5 min read

Probability The Intriguing World of Graph Theory

Discover the dynamics of random graphs and the Karp-Sipser algorithm.

Thomas Budzinski, Alice Contat

2025-04-01T10:09:00+00:00 ― 6 min read

Probability The Fun Dynamics of Particle Playgrounds

Discover how particles behave like kids on a playground.

Brune Massoulié

2025-04-01T02:09:30+00:00 ― 5 min read

Dynamical Systems The Fascinating World of Cellular Automata

Discover how simple rules create complex behaviors in cellular automata.

Hugo Marsan, Mathieu Sablik

2025-03-31T15:30:10+00:00 ― 5 min read

Machine Learning Unraveling Dark Patterns with Transformer Models

This study measures uncertainty in model predictions to detect deceptive design patterns.

Javier Muñoz, Álvaro Huertas-García, Carlos Martí-González

2025-03-29T02:14:00+00:00 ― 8 min read

Statistics Theory Decoding Community Recovery in Networks

Explore how community recovery shapes group dynamics across multiple networks.

Miklós Z. Rácz, Jifan Zhang

2025-03-28T20:40:52+00:00 ― 5 min read

Data Structures and Algorithms Efficient Graph Matching: Connecting the Dots

Explore innovative methods for matching graphs efficiently across complex networks.

Shuwen Chai, Miklós Z. Rácz

2025-03-28T10:30:30+00:00 ― 6 min read

Probability The Dance of Particles: Harmonic Measure and Brownian Motion

Explore the intriguing world of harmonic measure and Brownian motion.

Greg Markowsky, Clayton McDonald

2025-03-28T04:55:20+00:00 ― 5 min read

Probability Navigating Rough Stochastic Differential Equations

A look into RSDEs and their impact on decision-making in uncertain environments.

Peter K. Friz, Khoa Lê, Huilin Zhang

2025-03-28T02:15:30+00:00 ― 6 min read

Machine Learning Mastering Bandit Problems: Decision-Making in AI

Learn about bandit problems and decision-making in uncertain environments.

Pengjie Zhou, Haoyu Wei, Huiming Zhang

2025-03-28T00:20:08+00:00 ― 5 min read

Dynamical Systems The Dance of Random Self-Similar Measures

Delve into the intriguing world of self-similar measures and randomness.

Balázs Bárány, Michał Rams

2025-03-26T15:37:40+00:00 ― 5 min read

Spectral Theory The Chaos of Random Fields on Spheres

Scientists study how randomness evolves on spherical surfaces like Earth.

Tareq Alodat, Quoc T. Le Gia

2025-03-25T23:38:40+00:00 ― 5 min read

Probability Dancing Particles: The Exclusion Process Uncovered

Learn how particles interact and influence each other on a crowded dance floor.

Wenxuan Chen, Linjie Zhao

2025-03-24T21:00:20+00:00 ― 5 min read

Probability The Quest for Accuracy in Beliefs and Estimates

Learn how to measure the accuracy of your beliefs and predictions.

Catrin Campbell-Moore

2025-03-23T02:23:00+00:00 ― 7 min read

Metric Geometry The Wild World of Random Fractals

Explore the fascinating intersection of randomness and geometry through random fractals.

Gefei Cai, Wen-Bo Li, Tim Mesikepp

2025-03-22T23:43:10+00:00 ― 7 min read

Probability The Surprising World of Random Matrices

Explore how random matrices influence math and the real world.

Yi Han

2025-03-22T13:03:50+00:00 ― 6 min read

Operator Algebras Understanding the Rapid Decay Property in Groups

Explore how rapid decay properties influence group behavior in mathematics.

Indira Chatterji, Benjamin Zarka

2025-03-21T13:05:20+00:00 ― 6 min read

Metric Geometry Exploring Volumetric Moments in Geometry

A dive into the fascinating world of polytopes and volumetric moments.

Dominik Beck

2025-03-21T07:45:40+00:00 ― 7 min read

Combinatorics The Exciting World of Parking Functions

Discover the fun behind parking functions and their surprising probabilities.

Steve Butler, Kimberly Hadaway, Victoria Lenius

2025-03-21T02:26:00+00:00 ― 5 min read

Probability Random Fields: The Dance of Uncertainty

Exploring how random fields model unpredictable systems in nature and finance.

Qiangang "Brandon'' Fu, Liviu I. Nicolaescu

2025-03-20T21:06:20+00:00 ― 5 min read

Combinatorics Gambler's Ruin: The Game of Odds

Discover the thrilling world of probability in gambling and its mathematical roots.

Lucy Martinez

2025-03-20T18:26:30+00:00 ― 6 min read

Probability Unlocking the Secrets of Polynomial Random Matrices

Discover the impact and applications of polynomial random matrices in modern science.

Madhur Tulsiani, June Wu

2025-03-18T23:49:10+00:00 ― 7 min read

Machine Learning Transforming Perspectives: The Change of Variables in Score Functions

Learn how changing variables enhances our understanding of diverse data.

Stephen Robbins

2025-03-18T13:09:50+00:00 ― 7 min read

Physics and Society Connecting Through Similarity: The Role of Homophily

Explore how people cluster based on shared traits and interests.

Abbas K. Rizi, Riccardo Michielan, Clara Stegehuis

2025-03-17T10:41:22+00:00 ― 7 min read

Probability The Hidden World of Random Trees

Discover the fascinating dynamics of random trees and their crucial role in evolution.

David J. Aldous, Svante Janson

2025-03-17T10:31:30+00:00 ― 7 min read

Group Theory The Exciting World of Random Dynamical Systems

Discover how randomness shapes group behavior over time.

Martín Gilabert Vio

2025-03-16T21:12:20+00:00 ― 8 min read