%0 Journal Article %T Stochastic extrema as stationary phases of characteristic functions %A S. Nikitin %J Mathematics %D 2008 %I arXiv %X The paper is dealing with semi-classical asymptotics of a characteristic function for a stochastic process. The main technical tool is provided by the stationary phase method. The extremal range for a stochastic process is defined by limit values of the complex logarithm of the characteristic function. The paper also outlines a numerical method for calculating stochastic extrema. %U http://arxiv.org/abs/0801.4726v1