G. Iyer

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20242026

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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.PR2025

Convergence of Empirical Measures for i.i.d. samples in $W^{- α, p}$

Gautam Iyer, Raghavendra Venkatraman

Given $N$ i.i.d. samples from a probability measure $μ$ on $R^{d}$ , we study the rate of convergence of the empirical measure $μ_{N} \to μ$ in the negative Sobolev space $W^{-…

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 $u$ and has small molecular diffusivity $κ$ . Previous results show that if $u$ is exponentially mixing and $C^…

math.PR2025

Residual Diffusivity for Expanding Bernoulli Maps

William Cooperman, Gautam Iyer, James Nolen

Consider a discrete time Markov process $X^{ε}$ on $R^{d}$ that makes a deterministic jump based on its current location, and then takes a small Gaussian step of variance $ε^{2}$ …

Convergence of Langevin AIS for multimodal distributions

Convergence of Empirical Measures for i.i.d. samples in W−α,p

Exponentially mixing flows with slow enhanced dissipation

Residual Diffusivity for Expanding Bernoulli Maps

Convergence of Empirical Measures for i.i.d. samples in $W^{- α, p}$