2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/146923The 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.ProbabilityStatistics TheoryApplications62G32; 62F99; 62M99text