An exponential decay of a stochastic oscillatory integral with phase function determined as a stochastic line integral of a 1-form is studied. A sufficient condition for such an integral to decay exponentially fast is given in terms of the exterior derivative of the 1-form, i.e., the magnetic field.
|Number of pages||21|
|Journal||Journal of the Mathematical Society of Japan|
|Publication status||Published - Jan 1 2003|
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