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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.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…