5 papers · 1 filter
Convergence of Empirical Measures for i.i.d. samples in
Gautam Iyer, Raghavendra Venkatraman
Given i.i.d. samples from a probability measure on , we study the rate of convergence of the empirical measure in the negative Sobolev space $W^{-…
Incompressible 2D Euler equations with non-decaying random initial vorticity
Gautam Iyer, Milton C. Lopes Filho, Helena J. Nussenzveig Lopes
Consider a random initial vorticity , where is bounded and compactly supported and are independent, uniformly bounded, m…
Time-complexity of sampling from a multimodal distribution using sequential Monte Carlo
Ruiyu Han, Gautam Iyer, Dejan Slepčev
We study a sequential Monte Carlo algorithm to sample from the Gibbs measure with a non-convex energy function at a low temperature. We use the practical and popular geometric anne…
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^…
Residual Diffusivity for Expanding Bernoulli Maps
William Cooperman, Gautam Iyer, James Nolen
Consider a discrete time Markov process on that makes a deterministic jump based on its current location, and then takes a small Gaussian step of variance …