webinars

Stochastic Fluid Dynamics

2023-10-14

Stochastic Fluid Dynamics Wednesday, November 15th, 6:00 PT / 9:00 ET / 15:00 CET The study of fluid dynamics equations with white forcing is a classical topic in SPDEs and ergodic theory. Recently a new wave of interest, with a shift in focus towards transport noise, has risen, due to its…

stochastic-differential-equations

Chaotic mixing and the statistical properties of scalar turbulence

Sam Punshon-Smith / 2023-04-10

Passive scalar turbulence is the study of how a scalar quantity, such as temperature or salinity, is transported by an incompressible fluid. This process is modeled by the advection diffusion equation \[\begin{equation} \partial_tg_t + u_t\cdot\nabla g_t - \kappa \Delta g_t =…

graphical-models

Graphical modeling of stochastic processes driven by correlated noise

Søren Wengel Mogensen and Niels Richard Hansen / 2022-10-27

Complex systems are difficult to understand. We need good tools to study the interactions that define such systems. In this blog post, we describe how the framework in Mogensen and Hansen (2022) provides such a tool. This summary of the paper is meant to be accessible for readers with some…

webinars

Regularization by Noise for Stochastic Differential and Stochastic Partial Differential Equations

2022-06-03

Regularization by Noise for Stochastic Differential and Stochastic Partial Differential Equations The regularizing effects of noisy perturbations of differential equations is a central subject of stochastic analysis. Recent breakthroughs initiated a new wave of interest, particularly concerning…

bayesian-statistics

Measuring dependence in the Wasserstein distance for Bayesian nonparametric models

Marta Catalano, Antonio Lijoi and Igor Prünster / 2022-01-17

Bayesian nonparametric (BNP) models are a prominent tool for performing flexible inference with a natural quantification of uncertainty. Traditionallly, flexible inference within a homogeneous sample is performed with exchangeable models of the type \(X_1,\dots, X_n|\tilde \mu \sim T(\tilde \mu)\),…

webinars

Inclusion Process and Sticky Brownian Motions

2021-12-24

Inclusion Process and Sticky Brownian Motions The ninth “One World webinar” organized by YoungStatS will take place on February 9th, 2022. Inclusion process (IP) is a stochastic lattice gas where particles perform random walks subjected to mutual attraction. For the inclusion process in the…