Anastasiia Hrabovets
Published 2023-04-19Version 1
In this article, we will construct an approximation of Gaussian white noise based on the sequence of Bernoulli random variables and define Wick's products and the stochastic exponent for the Bernoulli case. Here we will propose a method to calculate the moments of Wick's products for Bernoulli variables using diagrams that converge to Feynman diagrams in the Gaussian case.
Borel summation of the small time expansion of SDE's driven by Gaussian white noise
On a bound of the absolute constant in the Berry--Esseen inequality for i.i.d. Bernoulli random variables
Estimation of expected value of function of i.i.d. Bernoulli random variables
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