Geodesic
On the Asymptotic Laplace Method and Its Application to Random Chaos
Matematičeskie zametki, Tome 97 (2015) no. 6, pp. 868-883

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The asymptotics of the multidimensional Laplace integral for the case in which the phase attains its minimum on an arbitrary smooth manifold is studied. Applications to the study of the asymptotics of the distribution of Gaussian and Weibullian random chaoses are considered.
Keywords: Laplace asymptotic method, Gaussian chaos, Weibullian chaos, Gelfand–Leray differential form, random chaos. 
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     author = {D. A. Korshunov and V. I. Piterbarg and E. Hashorva},
     title = {On the {Asymptotic} {Laplace} {Method} and {Its} {Application} to {Random} {Chaos}},
     journal = {Matemati\v{c}eskie zametki},
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     number = {6},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2015_97_6_a5/}
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D. A. Korshunov; V. I. Piterbarg; E. Hashorva. On the Asymptotic Laplace Method and Its Application to Random Chaos. Matematičeskie zametki, Tome 97 (2015) no. 6, pp. 868-883. http://geodesic.mathdoc.fr/item/MZM_2015_97_6_a5/