Mathematics - Probability

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Optimization and Control Tackling the Challenge of Cancer Treatment

Exploring recent advances in personalized cancer care and treatment strategies.

Noelymar Farinacci

2025-05-23T19:21:10+00:00 ― 7 min read

Latest Articles

Statistical Mechanics Understanding Stochastic Systems and Entropy

A look into the interplay of randomness, entropy, and energy dynamics.

Xiangting Li, Tom Chou

2025-05-22T15:35:03+00:00 ― 8 min read

Probability The Dance of Randomness in Stochastic Heat Equations

Exploring how randomness influences heat equations and their patterns.

Shalin Parekh

2025-05-22T11:36:42+00:00 ― 7 min read

Classical Analysis and ODEs Dynamic Weight Changes in Graphs

This article examines how connection weights evolve over time in graphs.

Jicheng Ma, Yunyan Yang

2025-05-22T08:43:34+00:00 ― 6 min read

Data Structures and Algorithms The Complexity of Multispin Systems

Exploring interactions in multispin systems and their implications.

Kuikui Liu, Nitya Mani, Francisco Pernice

2025-05-22T03:40:35+00:00 ― 7 min read

Probability The Circle Party Problem: Gossip and Connections

Discover how shortcuts can speed up gossip in a circle.

Shi Feng, Balázs Gerencsér

2025-05-21T19:01:11+00:00 ― 5 min read

Probability Understanding Archimedean Copulas: A Practical Approach

An overview of Archimedean copulas and their applications in various fields.

Nicolas Dietrich, Wolfgang Trutschnig

2025-05-21T18:17:54+00:00 ― 6 min read

Probability The Quirky Art of Decision-Making

A look into the fun side of making choices.

Zakaria Derbazi

2025-05-21T17:34:37+00:00 ― 6 min read

Neural and Evolutionary Computing Understanding Deep Linear Networks

A simplified overview of deep learning through deep linear networks.

Govind Menon

2025-05-21T11:31:33+00:00 ― 6 min read

Probability Random Walks in Random Environments Unpacked

Exploring the dance of chance and environment in random walks.

Jean-Dominique Deuschel, Martin Slowik, Weile Weng

2025-05-21T08:55:13+00:00 ― 6 min read

Statistics Theory Understanding Community Detection with the Bethe-Hessian Matrix

A look at how the Bethe-Hessian matrix aids in community detection.

Ludovic Stephan, Yizhe Zhu

2025-05-21T03:08:58+00:00 ― 6 min read

Dynamical Systems Understanding Chaos in Stochastic Flows

Examining how randomness affects complex systems and chaos theory.

Maxime Breden, Hugo Chu, Jeroen S. W. Lamb

2025-05-21T00:15:49+00:00 ― 7 min read

Probability Survival and Extinction in Nature

Study of how species survive or vanish in changing environments.

A. P. Zhiyanov, A. V. Shklyaev

2025-05-20T10:59:56+00:00 ― 4 min read

Probability The Social Dynamics of Dinner Parties

Explore how seating arrangements affect conversation and social interactions.

Kenny Peng

2025-05-19T23:47:24+00:00 ― 6 min read

Statistical Finance Understanding Treasury Bonds and Market Volatility

A guide to Treasury bonds and their connection to stock market movements.

Jihyun Park, Andrey Sarantsev

2025-05-19T16:13:31+00:00 ― 6 min read

Probability Timing Your Rewards: The Carnival Game

Learn how timing and decision-making affect prize collection in random scenarios.

Fabian Crocce, Ernesto Mordecki

2025-05-19T08:22:40+00:00 ― 5 min read

Combinatorics Understanding Convex Sets and Their Mysteries

A fun look into convex sets and their intriguing properties.

Jean-François Marckert, Ludovic Morin

2025-05-18T19:46:04+00:00 ― 6 min read

Probability Understanding the Airy Line Ensemble

A look into the Airy Line Ensemble and its significance in random systems.

Jiaoyang Huang, Lingfu Zhang

2025-05-18T15:31:16+00:00 ― 5 min read

Probability The Dynamics of Bird Populations in Changing Environments

A look at how bird populations grow and adapt over time.

Maxime Ligonnière

2025-05-17T08:44:24+00:00 ― 7 min read

Probability Connecting Fluid Flow and Population Growth

A look at how percolation theory and branching processes relate.

Airam Blancas, María Clara Fittipaldi, Saraí Hernández-Torres

2025-05-17T07:20:20+00:00 ― 7 min read

Probability Heat Dynamics on Curved Surfaces

Exploring how curvature and randomness affect heat behavior on special surfaces.

Fabrice Baudoin, Hongyi Chen, Cheng Ouyang

2025-05-17T05:56:16+00:00 ― 7 min read

Probability Understanding Adaptive Networks and Their Dynamics

A look at how adaptive networks influence our connections and behavior.

James MacLaurin

2025-05-16T17:19:40+00:00 ― 5 min read

Systems and Control Analyzing Failures in Complex Systems with Fuzzy Logic

A look at using fuzzy logic in failure analysis for aircraft fuel systems.

Hitesh Khungla, Mohit Kumar

2025-05-16T10:19:20+00:00 ― 6 min read

Probability Transport Maps: Shifting Probabilities with Ease

Explore transport maps and their role in probability and heat diffusion.

Arthur Stéphanovitch

2025-05-15T07:42:04+00:00 ― 4 min read

Probability How Connections Shape the Spread of Ideas and Infections

Explore how network structures influence the spread of ideas and diseases.

Gadi Fibich, Yonatan Warman

2025-05-15T00:48:40+00:00 ― 5 min read

Probability Connecting Mathematics and Physics: Key Concepts

Explore vital mathematical ideas shaping our understanding of the universe.

Jacopo Borga, Sky Cao, Jasper Shogren-Knaak

2025-05-15T00:23:32+00:00 ― 8 min read

Probability Understanding Non-Equilibrium Steady States

An overview of non-equilibrium steady states and their significance.

Frank Redig, Berend van Tol

2025-05-14T23:33:16+00:00 ― 7 min read

Probability Understanding Random Matrices and Their Impacts

Explore the significance of random matrices in various fields of study.

Zhigang Bao, Daniel Munoz George

2025-05-14T23:08:08+00:00 ― 6 min read

Probability Understanding Continuous Martingales and Their Behavior

A look into the world of martingales and specific relative entropy.

Julio Backhoff, Edoardo Kimani Bellotto

2025-05-14T09:09:00+00:00 ― 6 min read

Probability Understanding McKean-Vlasov Stochastic Differential Equations

A look into McKean-Vlasov SDEs and how we can solve them numerically.

Sani Biswas, Chaman Kumar, Christoph Reisinger

2025-05-13T01:03:28+00:00 ― 7 min read

Mathematical Physics Understanding the 4-Vertex Model

An overview of the 4-vertex model in statistical physics.

Pete Rigas

2025-05-12T22:07:32+00:00 ― 6 min read

Probability Understanding PL and LS Constants in Data Science

A simple overview of PL and LS constants in optimization and data analysis.

Sinho Chewi, Austin J. Stromme

2025-05-12T11:02:48+00:00 ― 7 min read

Probability Navigating Reward Functionals and Stopping Times

A simple guide to understanding reward functionals and Markovian stopping times.

Boy Schultz

2025-05-12T09:38:44+00:00 ― 6 min read

Probability Exploring Gaussian Exponential Sums and Their Surprises

A look into randomness and geometry in Gaussian exponential sums.

Léo Mathis

2025-05-12T08:14:40+00:00 ― 8 min read

Probability Understanding Clustering in Sparse Networks

A look at how clustering shapes human connections in sparse networks.

Mindaugas Bloznelis, Dominykas Marma

2025-05-12T04:02:28+00:00 ― 7 min read

Probability Markov Chains: Making Predictions Faster

Learn how researchers are speeding up Markov chains for better predictions.

Michael C. H. Choi, Max Hird, Youjia Wang

2025-05-11T15:36:19+00:00 ― 6 min read

Probability Understanding Immigration in Point Processes

A look into how events scatter over time and space.

Martin Minchev, Maroussia Slavtchova-Bojkova

2025-05-11T02:49:16+00:00 ― 6 min read

Probability Traffic Flow: Simplifying Movement Patterns

A look into how cars or particles move and interact on a one-lane road.

Marina V. Yashina, Alexander G. Tatashev

2025-05-11T01:25:12+00:00 ― 6 min read

Probability Height-Offset Variables in Gradient Models

A look into height-offset variables and their role in gradient models.

Florian Henning, Christof Kuelske

2025-05-10T15:15:04+00:00 ― 7 min read

Operator Algebras Understanding the Brown Measure and Operators

A look into Brown measure and the behavior of non-normal operators.

Max Sun Zhou

2025-05-10T03:00:08+00:00 ― 7 min read

Probability A New Approach to Cubature on Wiener Space

Simplifying complex calculations in high-dimensional mathematics with a fresh cubature method.

Emilio Ferrucci, Timothy Herschell, Christian Litterer

2025-05-10T01:36:04+00:00 ― 7 min read