@article {64510,
	title = {Asymptotic expansion of double Laplace-type integrals with a curve of minimal points and application to an exit time problem},
	journal = {Mathematica SlovacaMathematica Slovaca},
	volume = {67},
	year = {2017},
	month = {2017},
	pages = {737{\textendash}750},
	abstract = {In this paper we consider the problem of the asymptotic expansion of double Laplace-type integrals, in the case when the set\&nbsp;γ\&nbsp;of points where the phase achieves its absolute minimum is a simple curve. It will be shown that the asymptotic behaviour of such integrals is governed by the order of degeneracy of normal derivatives of the phase with respect to the curve\&nbsp;γ. Complete asymptotic expansions will be constructed if that order is constant along\&nbsp;γ, and the first two coefficients will be explicitly computed. If not, a uniform asymptotic expansion method, involving special functions, is suggested.},
	author = {Benaissa, Abdallah and Benlahcene, Moussa}
}
@article {65409,
	title = {Asymptotic expansion of double Laplace-type integrals: The case of non-stationary minimum points},
	journal = {Proceedings of the American Mathematical SocietyProceedings of the American Mathematical Society},
	volume = {144},
	year = {2016},
	month = {2016},
	pages = {3741-3756},
	abstract = {In this paper, we show that the asymptotic expansion of a double Laplace-type integral with a non-stationary minimum point, located on the boundary of the domain of integration, is governed by the order of contact between the boundary curve and the level curve of the phase through the minimum point. This achievement will enable us to construct complete asymptotic expansions in more general settings. Especially, the problem will be completely solved if the phase and the boundary curve of the domain of integration are analytic near the minimum point.},
	author = {Kamouche, Nesrine and Benaissa, Abdallah}
}
@proceedings {66000,
	title = {ASYMPTOTIC EXPANSION OF DOUBLE OSCILLATORY INTEGRALS: CONTRIBUTION OF NON STATIONARY CRITICAL POINTS OF THE SECOND KIND},
	journal = {International Conference on Pure and Applied Mathematics},
	year = {2015},
	month = {2015},
	pages = {49},
	author = {Benaissa, Abdallah}
}
@article {66001,
	title = {On the exit problem of dynamic systems perturbed by a white noise},
	journal = {AIP Conference ProceedingsAIP Conference Proceedings},
	volume = {1660},
	year = {2015},
	month = {2015},
	abstract = {\&nbsp; In this paper we are concerned with the exit time problem of a dynamic system perturbed by a\&nbsp;white noise,\&nbsp;in the case where the noiseless dynamics has a global\&nbsp;attractor\&nbsp;in a given domain. By the use of a singular\&nbsp;perturbation technique\&nbsp;and recent results on the asymptotic expansion of a class of Laplace-type integrals, new results concerning the problem under investigation will be presented. \&nbsp;},
	author = {Benaissa, Abdallah}
}
@article {61795,
	title = {D{\'e}veloppement asymptotique d{\textquoteright}int{\'e}grales oscillantes doubles{\textellipsis}},
	journal = {Comptes Rendus de l{\textquoteright}Acad{\'e}mie des Sciences-Series I-MathematicsComptes Rendus de l{\textquoteright}Acad{\'e}mie des Sciences-Series I-Mathematics},
	volume = {333},
	year = {2001},
	month = {2001},
	pages = {17-22},
	isbn = {0764-4442},
	author = {Benaissa, Abdallah and Roger, Claude}
}
@article {61785,
	title = {Factorisation QR des matrices de Tchebychev{\textendash}Vandermonde confluentes},
	journal = {Comptes Rendus de l{\textquoteright}Acad{\'e}mie des Sciences-Series I-MathematicsComptes Rendus de l{\textquoteright}Acad{\'e}mie des Sciences-Series I-Mathematics},
	volume = {330},
	year = {2000},
	month = {2000},
	pages = {147-152},
	isbn = {0764-4442},
	author = {Melkemi, Lamine and Benaissa, Abdallah and Benacer, Rachid}
}
