Stochastic extrema as stationary phases of characteristic functions

Mathematics – Probability

Scientific paper

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Scientific paper

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.

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