Latest Articles for Probability Theory

We introduce a probabilistic approach to combinatorial proofs and polynomial identities.

A deep dive into Markov chains and their behavior in compact spaces.

This article examines the behavior of small ball probabilities in random tensors.

This article presents a novel approach for identifying components in finite mixture models.

A new method for efficiently modeling complex Gaussian mixtures.

Exploring the significance and applications of non-Hermitian random matrices and their eigenvalues.

An overview of how particles behave independently in large systems.

This article examines how certain Markov processes behave consistently over time.

Examining the behavior and limits of continuous-time Mallows processes in permutations.

New methods in stochastic optimal control for infinite-dimensional spaces show promise in generative modeling.

Exploring techniques to improve statistical estimations with minimax lower bounds.

Explore how the directed landscape relates to noise in mathematical systems.

Exploring first passage time problems and their impact across various fields.

Explore the role of martingales in finance, gambling, and statistics.

This paper proposes using reinforcement learning to enhance adaptive MCMC algorithms.

Learn how to handle rare risks in mechanical systems for better safety.

A new method combines CNFs and MCMC for improved sampling from complex distributions.

Learn how lifted samplers improve sampling efficiency in MCMC methods.

Study key concepts in probability and geometry that shape random structures.

A look at the role of tree walks in understanding random graphs.

Learn how element-free distributions streamline analysis and improve data organization.

This article studies how random walkers move in Galton-Watson trees with Dirichlet environments.

This study analyzes a specialized mathematical operator across different scales.

A look at different methods for drawing colored balls from an urn.

A study reveals the complete structure of quantum probabilities and their implications.

Exploring key properties and implications of Dirichlet functions in number theory.

Exploring the Cauchy functional equation and its probabilistic implications.

Examine how probability distributions change over time and their information loss.

Exploring the significance of the Choquet-Deny property in groups and groupoids.

A deep dive into the FK-Ising model and its implications for phase transitions.

Exploring how systems develop over time and their convergence behaviors.

This study adapts optimization techniques for better performance in Wasserstein space.

An analysis of positive areas in spherical fractional Brownian motion.

This article examines the relationship between stretched Brownian motion and Bass martingales.

A look at various types of convergence in signed measures.

An overview of probabilistic graphical models and their applications in various fields.

A look at skew Brownian motion and its role in finance and risk assessment.

A new approach enhances MCMC sampling efficiency using Riemannian geometry.

Learn how Bregman divergence aids in measuring data differences and improving machine learning models.

Introducing a new method for sampling from complex probability distributions in Bayesian inference.