84 citations · 508 across the 36 of their papers we have counts for
5 papers · 2 filters
A simple Fourier analytic proof of the AKT optimal matching theorem
Sergey Bobkov, Michel Ledoux
We present a short and elementary proof of the Ajtai-Komlós-Tusnády (AKT) optimal matching theorem in dimension 2 via Fourier analysis and a smoothing argument. The upper bound app…
Non-Uniform Bounds in the Poisson Approximation with Applications to Informational Distances. II
S. G. Bobkov, G. P. Chistyakov, F. Götze
We explore asymptotically optimal bounds for deviations of distributions of independent Bernoulli random variables from the Poisson limit in terms of the Shannon relative entropy a…
Non-uniform Bounds in the Poisson Approximation with Applications to Informational Distances. I
S. G. Bobkov, G. P. Chistyakov, F. Götze
We explore asymptotically optimal bounds for deviations of Bernoulli convolutions from the Poisson limit in terms of the Shannon relative entropy and the Pearson -distance. Th…
Entropic CLT for smoothed convolutions and associated entropy bounds
Sergey G. Bobkov, Arnaud Marsiglietti
We explore an asymptotic behavior of entropies for sums of independent random variables that are convolved with a small continuous noise.
Local limit theorems for smoothed Bernoulli and other convolutions
Sergey G. Bobkov, Arnaud Marsiglietti
We explore an asymptotic behavior of densities of sums of independent random variables that are convoluted with a small continuous noise.