Latest Articles for Probability Theory

A look at cancellation properties in probabilistic systems and their implications.

This article examines independence properties in specific growth models using the Busemann function.

This article clarifies independence relations and their significance in model theory.

A look into how fractional Brownian motion crosses levels over time.

A look into urn models and their impact on probability and statistics.

This study improves convergence rates in Selberg's CLT by assuming the Riemann hypothesis.

This article explores the movement through networks and its implications.

Exploring the significance of Brownian motion in various fields, especially finance.

The study explores how different distributions affect quantum walk behaviors.

Explore Bernstein-gamma functions, their properties, and real-world applications.

Study reveals how quadratic polynomials behave as random matrices increase in size.

An overview of counting methods in lattice walks and their connections to mathematics.

A deep look into the principles governing random processes and their implications.

Exploring the role and applications of Hermite polynomials across various fields.

This article examines how moments relate to heavy-tailed distributions like Pareto.

Explore the expected rolls to achieve three increasing numbers on a die.

Exploring the impact of Wasserstein distance on Gaussian mixture model analysis.

This article examines Young diagrams, their properties, and the role of the Plancherel measure.

A new method for accurately estimating CDFs amid uncertainties.

Learn about whole-plane SLE and its fascinating properties in the study of random curves.

A look into how DIBI models analyze event relationships.

Examining the significance of functional inequalities in understanding Markov processes and their dynamics.

An overview of LLT polynomials and their significance in various mathematical fields.

A look at how the Kirkwood-Dirac distribution aids in quantum system analysis.

A study of how past movements influence future paths in various fields.

Explore how conformal dimensions reflect the structure of Brownian motion's random paths.

Explore the significance of Riesz transforms in mathematical analysis and beyond.

Discover how the Follmer flow transforms probability measures and its applications in various fields.

A new method improves probability distribution movement using neural networks.

A new method to create random samples from characteristic functions using neural networks.

Introducing BMT independence, a blend of three independence types for better analysis of random variables.

A look into the median and mode of the Poisson distribution of order.

A look at Young diagrams and their role in understanding symmetric groups.

This paper examines the convergence of multiplicative function averages over Gaussian integers.

Explore the relationship between Markov processes and Laplace transforms for advanced analysis.

A look into how random connections form networks in various fields.

A deep dive into the Poisson distribution and its modes.

Exploring the dynamics of random walks affected by unpredictable environments.

An overview of lattices and approximate ultrahomogeneity in mathematics.

Exploring how quantum probability changes our view of asset returns and trading behaviors.