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Название: On the Rate of Convergence to the Normal Law for Solutions of the Burgers Equation with Singular Initial Data
Авторы: Leonenko N.N., Enzo Orsingher E., Parkhomenko V.N.
Journal of Statistical Physics, Vol. 82, Nos. 3/4, 1996. p. 915-930.
We study the scaling limit of random fields which are the solutions of a non-linear partial differential equation known as the Burgers equation, under stochastic initial condition. These are assumed to be a Gaussian process with long-range dependence. We present some results on the rate of convergence to the normal law.