Raghavendra Venkatraman

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20242026

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math.PR2025

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

Gautam Iyer, Raghavendra Venkatraman

Given $N$ i.i.d. samples from a probability measure $I^¼$ on $R^{d}$ , we study the rate of convergence of the empirical measure $I^¼_{N} \to I^¼$ in the negative Sobolev space $W…

math.PR2025

Quantitative homogenization and large-scale regularity of Poisson point clouds

Scott Armstrong, Raghavendra Venkatraman

We prove quantitative homogenization results for harmonic functions on supercritical continuum percolation clusters--that is, Poisson point clouds with edges connecting points whic…

Convergence of Empirical Measures for i.i.d. samples in W−I^±,p

Quantitative homogenization and large-scale regularity of Poisson point clouds

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