Geodesic
Uniform multiplicative asymptotics of the parameter-dependent Laplace integrals
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 44 (2004) no. 10, pp. 1745-1750 
S. M. Frolovichev. Uniform multiplicative asymptotics of the parameter-dependent Laplace integrals. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 44 (2004) no. 10, pp. 1745-1750. http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_10_a3/
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[1] Venttsel A. D., Freidlin M. I., Fluktuatsii v dinamicheskikh sistemakh pod deistviem malykh sluchainykh vozmuschenii, Nauka, M., 1979 | MR | Zbl

[2] Maslov V. P., Frolovichev S. M., Chernykh S. I., “Tochnaya asimptotika bolshikh uklonenii v granichnykh zadachakh dlya diffuzionnykh protsessov”, Dokl. AN SSSR, 296:2 (1987), 297–299

[3] Frolovichev S. M., “Global asymptotics of the first and the second boundary value problems for Kolmogorov equations with a small diffusion”, Proc. Internat. conference on probability and mathematical statist., v. 1, VSP, Vilnius, 1990, 375–381 | MR

[4] Erdeii A., Asimptoticheskie razlozheniya, Fizmatgiz, M., 1962

[5] Fedoryuk M. V., Metod perevala, Nauka, M., 1977 | MR

[6] Chesfet C., Friedman B., Ursell F., “An extension of the method of the steepest descent”, Proc. Cambridge Phil. Soc., 53 (1957), 599–611 | DOI | MR

[7] Karatygin V. A., Rozov V. A., “Metod statsionarnoi fazy dlya integralov v konechnykh predelakh s proizvolno raspolozhennoi statsionarnoi tochkoi”, Zh. vychisl. matem. i matem. fiz., 10:2 (1970), 300–312 | MR | Zbl

[8] Trofimov O. N., Frizen D. G., “Koeffitsienty asimptoticheskogo razlozheniya integralov po metodu Laplasa”, Avtometriya, 2 (1981), 94