A. M. Chebotarev, A. V. Polyakov, “Deviation Estimates for Random Walks and Stochastic Methods for Solving the Schrödinger Equation”, Mat. Zametki, 2004, Volume 76, Issue 4,Pages <nobr>610

This article is cited in 2 papers

Deviation Estimates for Random Walks and Stochastic Methods for Solving the Schrödinger Equation

A. M. Chebotarev, A. V. Polyakov

M. V. Lomonosov Moscow State University

Abstract: The stochastic representation of solutions of the Cauchy problem for the Schrödinger equation is used in order to construct unitary matrix approximations of the resolving operator. We show that the probability distribution of deviations of random walks allows one to estimate the increase rate of derivatives and the support of solutions.

UDC: 517.598

Received: 12.05.2004

DOI: 10.4213/mzm124