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math.PR2023
On Gilles Pisier's approach to gaussian concentration, isoperimetry and Poincaré-type inequalities
Sergey G. Bobkov, Bruno Volzone
We discuss a natural extension of Gilles Pisier's approach to the study of measure concentration, isoperimetry and Poincaré-type inequalities. This approach allows one to explore c…
math.PR2019
Normal Approximation for Weighted Sums under a Second Order Correlation Condition
S. G. Bobkov, G. P. Chistyakov, F. Götze
Under correlation-type conditions, we derive an upper bound of order for the average Kolmogorov distance between the distributions of weighted sums of dependent summan…