Exponential decay of stochastic oscillatory integrals on classical Wiener spaces

Setsuo TANIGUCHI

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Source: Crossref

Published: Jan 1, 2003

DOI: 10.2969/jmsj/1196890842

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Source abstract

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.

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