Latest Articles for Probability Theory

Discover how randomness influences the study of prime numbers and Rademacher functions.

Explore how changing probability measures affects stochastic partial differential equations.

A study of random mixing processes using two urns of colored balls.

A concise overview of ergodic systems and their implications in mathematics.

Exploring Krein systems and their impact on various mathematical fields.

A look at mean-field Langevin dynamics in physics and machine learning.

A look at total variation distance and its significance in probability distributions.

Examining the properties and applications of super-tree random measures in various fields.

A look at the discrete Gaussian and its applications in various fields.

This article discusses the complexity of random walks influenced by environmental conditions.

This article explains Giry algebras and their role in probability and Polish spaces.

Examining how high-dimensional spaces affect light blockage and data behavior.

Examining the dynamics of Markov chains without absorbing states.

Examining behavior and exit times of random walks within cone structures.

Discover the dynamics and strategies of the intriguing Penney's ante game.

This article discusses methods for solving Fredholm integral equations of the second kind.

Explore the intriguing world of common causes in quantum physics.

A tool to check the suitability of Laplace approximation for statistical models.

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

A look at how percolation theory and branching processes relate.

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

Discover how quantum KKL inequalities connect geometry and quantum mechanics.

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

This study delves into the behavior and capacity of loop-erased random walks in various dimensions.

Exploring the transformation of Gaussian functions into quantum states.

A look at how particles interact and freeze in the Porous Medium Model.

Explore the concept of random walks and their implications across various fields.

Learn how statistics helps us make sense of data and uncertainty.

Discover how hypergraphs and probability intertwine with the birthday problem.

Learn how OPAD and OPAD+ enhance particle-based approximations in various fields.

Discover how statistical models reveal system behaviors through splitting Gibbs measures.

Discover how randomness shapes group behavior over time.

Discover how copulas reveal complex relationships between random variables.

Learn about entropic probability using coins and boxes in a fun way.

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

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