activity
20242026
collaborators

6 papers

math.PR2026

Rapid convergence of Langevin AIS for multimodal distributions on

Seungjae Son

We study annealed importance sampling (AIS) driven by the overdamped Langevin diffusion, targeting a multimodal Gibbs measure on $\mathbb…

math.PR2026

Convergence of Langevin AIS for multimodal distributions

Akshat Agarwal, Gautam Iyer, Aidan Jameson +2

We study convergence rates of the annealed importance sampling algorithm (Neal '01) combined with Langevin Monte Carlo when the target is a multimodal Gibbs measure. The main resul…

math.PR2026

Rapid convergence of tempering chains to multimodal Gibbs measures

Seungjae Son

We study the spectral gaps of parallel and simulated tempering chains targeting multimodal Gibbs measures. In particular, we consider chains constructed from Metropolis random walk…

math.DS2025

Quantitative dependence of the Pierrehumbert flow's mixing rate on the amplitude

Seungjae Son

We quantitatively study the mixing rate of randomly shifted alternating shears on the torus. This flow was introduced by Pierrehumbert '94, and was recently shown to be exponential…

math.PR2025

Exponentially mixing flows with slow enhanced dissipation

William Cooperman, Gautam Iyer, Keefer Rowan +1

Consider a passive scalar which is advected by an incompressible flow and has small molecular diffusivity . Previous results show that if is exponentially mixing and $C^…

math.DS2024

A Harris theorem for enhanced dissipation, and an example of Pierrehumbert

William Cooperman, Gautam Iyer, Seungjae Son

In many situations, the combined effect of advection and diffusion greatly increases the rate of convergence to equilibrium -- a phenomenon known as enhanced dissipation. Here we s…