Mathematics - Probability

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Combinatorics The Intriguing World of Random Turan Problems

Discover the complex connections in random Turan problems and hypergraphs.

Jiaxi Nie, Sam Spiro

2025-03-12T13:18:50+00:00 ― 6 min read

Latest Articles

Probability Unraveling Quasi-Geodesics in Particle Dynamics

Explore how particle behavior reveals insights into complex systems.

Patrik L. Ferrari, Min Liu

2025-02-28T16:16:40+00:00 ― 8 min read

Probability The Ewens-Pitman Model: A Slice of Statistics

Discover how the Ewens-Pitman model helps understand random group formations.

Claudia Contardi, Emanuele Dolera, Stefano Favaro

2025-02-28T08:17:10+00:00 ― 7 min read

Probability Your Guide to Finding the Perfect Haircut Routine

Learn how to create an ideal haircut schedule that works for you.

Blake Pehrson

2025-02-27T10:58:30+00:00 ― 5 min read

Probability Understanding Stochastic Delay Differential Equations

Learn how randomness shapes change over time in various fields.

Julius Busse

2025-02-27T02:59:00+00:00 ― 7 min read

Probability Connecting the Dots in Hyperbolic Space

A guide to random connections in complex spaces using simple concepts.

Matthew Dickson

2025-02-26T08:20:10+00:00 ― 5 min read

Classical Analysis and ODEs The Power of Haar Shifts in Mathematics

Discover how Haar shifts simplify the analysis of complex functions.

José M. Conde Alonso, Nathan A. Wagner

2025-02-26T05:40:20+00:00 ― 6 min read

Probability The Exciting World of Random Walks

Discover how random walks work in graphs and their real-life applications.

Sam Olesker-Taylor, Thomas Sauerwald, John Sylvester

2025-02-25T00:22:10+00:00 ― 6 min read

Probability The Dynamics of First-Passage Time: A Deep Dive

Explore how first-passage time impacts finance, health, and neuroscience.

Devika Khurana, Sascha Desmettre, Evelyn Buckwar

2025-02-24T19:02:30+00:00 ― 7 min read

Machine Learning Making Smart Choices with Restless Bandits

Learn about Lagrangian Index Policy and its impact on decision-making.

Konstantin Avrachenkov, Vivek S. Borkar, Pratik Shah

2025-02-23T21:43:50+00:00 ― 7 min read

Analysis of PDEs Connecting Kinetic and Graph Theories

Exploring the links between particle behavior and network relationships.

Datong Zhou

2025-02-23T16:24:10+00:00 ― 6 min read

Probability Intransitivity: The Hidden Challenge in Elo Ratings

How intransitivity complicates Elo ratings in competitive environments.

Adam H. Hamilton, Matthew Roughan, Anna Kalenkova

2025-02-23T11:04:30+00:00 ― 7 min read

Probability The Fascinating World of Generalized Wigner Matrices

Discover the interplay of randomness and order in eigenvalues of Generalized Wigner matrices.

Benjamin Landon

2025-02-22T19:05:30+00:00 ― 6 min read

Machine Learning Harnessing Diffusion Models for Data Generation

Learn how diffusion models revolutionize data generation and classification.

Justin Le

2025-02-22T17:46:21+00:00 ― 6 min read

Operator Algebras Unraveling the Secrets of Entropy in Groups

Dive into the fascinating world of entropy and its role in group theory.

Tim Austin

2025-02-21T19:07:00+00:00 ― 7 min read

Probability Patterns of Growth in a Changing World

Discover the fascinating interplay of growth models and movement patterns.

Duncan Dauvergne, Lingfu Zhang

2025-02-21T07:07:14+00:00 ― 5 min read

Statistical Mechanics Simplifying Complex Systems: Network Renormalization

Learn how network renormalization helps analyze complex systems through simplification.

Andrea Gabrielli, Diego Garlaschelli, Subodh P. Patil

2025-02-21T06:19:28+00:00 ― 6 min read

Combinatorics The Fascinating World of Hypergraphs

Explore the unique properties and dynamics of hypergraphs and random processes.

Felix Joos, Marcus Kühn

2025-02-18T19:11:30+00:00 ― 4 min read

Probability Understanding Infection Spread Through Networks

Explore how infections travel through networks using mathematical models.

Benedikt Jahnel, Lukas Lüchtrath, Anh Duc Vu

2025-02-18T03:12:30+00:00 ― 5 min read

Probability Mastering the Art of Asset Pricing

A guide to understanding options trading and asset pricing models.

Giacomo Ascione, Enrico Scalas, Bruno Toaldo

2025-02-17T21:52:50+00:00 ― 5 min read

Dynamical Systems The Dance of Numbers and Randomness

Explore how randomness shapes sequences and processes in mathematics.

Lisette Jager, Killian Verdure

2025-02-17T03:14:00+00:00 ― 7 min read

Probability The Dynamics of Directed Polymers in Random Environments

Explore how directed polymers behave in random settings and their implications across various fields.

Jiaming Chen

2025-02-16T19:14:30+00:00 ― 6 min read

Probability Rough Volatility Models: Navigating Market Swings

Discover how volatility models shape investment strategies in dynamic markets.

Ulrich Horst, Wei Xu, Rouyi Zhang

2025-02-16T09:40:20+00:00 ― 6 min read

Probability Understanding Stochastic Volterra Integral Equations

A simple guide to Stochastic Volterra Integral Equations and their applications in finance.

Martin Friesen, Stefan Gerhold, Kristof Wiedermann

2025-02-14T19:54:00+00:00 ― 6 min read

Probability The Dance of Correlation and Coskewness

Discover how correlation and coskewness reveal hidden relationships in data.

Carole Bernard, Jinghui Chen, Steven Vanduffel

2025-02-14T11:24:12+00:00 ― 6 min read

Probability The Geometry of Randomness: Exploring Balls

Uncover the effects of randomness on shapes, focusing on spheres and their properties.

Joscha Prochno, Christoph Thaele, Philipp Tuchel

2025-02-14T03:18:30+00:00 ― 5 min read

Probability Branching Processes: Nature's Intricate Web

Explore how branching processes shape life and ecology over time.

Félix Foutel-Rodier

2025-02-14T00:38:40+00:00 ― 5 min read

Probability Unraveling Logarithmic Potentials: The Hidden Forces

Explore how logarithmic potentials interact with external fields in mathematics.

Giacomo Colombo, Alessio Figalli

2025-02-13T00:40:10+00:00 ― 8 min read

Mathematical Physics Yang-Mills Theories: A Comprehensive Overview

An introduction to Yang-Mills theories and their significance in particle physics.

Hao Shen, Scott A. Smith, Rongchan Zhu

2025-02-10T11:35:18+00:00 ― 7 min read

Machine Learning Classifying Nodes: A Semi-Supervised Approach

Learn how limited information aids in node classification using semi-supervised learning.

Hai-Xiao Wang, Zhichao Wang

2025-02-09T14:24:59+00:00 ― 6 min read

Probability The Hidden Shapes of Nature's Barriers

Discover how scientists uncover the shapes of semipermeable barriers influencing movement.

Alexander Van Werde, Jaron Sanders

2025-02-07T21:43:31+00:00 ― 5 min read

Probability The Art of Shadows: Random Projections in Mathematics

Explore how shapes and randomness interact in fascinating projections.

Zakhar Kabluchko, Mathias Sonnleitner

2025-02-05T16:51:10+00:00 ― 6 min read

Mathematical Physics The Balance of Brain Activity Explained

Discover how neurons maintain balance for mental health.

James MacLaurin, Pedro Vilanova

2025-02-05T13:29:56+00:00 ― 7 min read

Mathematical Finance The Dance of Traders: Brokers vs. Informed Traders

A look at the strategic interplay between brokers and informed traders in finance.

Xuchen Wu, Sebastian Jaimungal

2025-02-05T09:16:00+00:00 ― 8 min read

Probability The Dance of Brownian Motion and Amperean Area

Explore the playful world of Brownian motion and its relationship with the Amperean area.

Isao Sauzedde

2025-02-04T05:55:10+00:00 ― 5 min read

Probability Unpacking the Zero-Range Process: Particle Play

Discover how the Zero-Range Process explains particle movements through fun analogies.

Daniel Marahrens, Angeliki Menegaki, Clément Mouhot

2025-02-04T05:07:24+00:00 ― 7 min read

Probability Diving into Green's Functions and Their Applications

Discover how Green's functions shape our understanding of physics and mathematics.

Anthony Graves-McCleary, Laurent Saloff-Coste

2025-02-02T19:35:30+00:00 ― 6 min read

Mathematical Finance Navigating Dynamic Asset Allocation in Uncertain Markets

Learn how to manage investments wisely amid market uncertainty.

Qian Lei, Chi Seng Pun, Jingxiang Tang

2025-02-02T05:43:20+00:00 ― 5 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

Optimization and Control Revolutionizing Appointment Scheduling in Healthcare

Streamlining patient appointments for better healthcare efficiency.

Nikolai Lipscomb, Xin Liu, Vidyadhar G. Kulkarni

2025-02-01T11:37:30+00:00 ― 6 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

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

Probability The Game of Survival: Evolutionary Strategies

Discover how survival strategies play out in nature through evolutionary games.

Jonas Köppl, Nicolas Lanchier, Max Mercer

2025-01-28T17:03:10+00:00 ― 7 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

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

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

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

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

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

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

Probability Navigating the Landscape of Concentration Inequalities

Understanding random events and their predictions in various fields.

Arun Kumar Kuchibhotla

2025-01-20T11:12:34+00:00 ― 7 min read

Data Structures and Algorithms Rolling Dice with Just a Coin Flip

Learn how to mimic dice rolling using a simple coin flip!

Mark Huber, Danny Vargas

2025-01-20T06:07:23+00:00 ― 6 min read

Probability Navigating the World of Self-Normalized Martingales

Learn how self-normalized martingales improve predictions and control uncertainty.

Ingvar Ziemann

2025-01-19T09:17:10+00:00 ― 5 min read

Probability The Fascinating World of Diffusion Processes

Discover how diffusion processes shape movement and spread across various fields.

Saber Jafarizadeh

2025-01-18T01:19:10+00:00 ― 5 min read