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Asymptotic behavior of functions, asymptotic series and related topics

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Integrals can sometimes be computed through their saddle points. Are there examples of conve...

Under some reasonable assumptions integrals with large exponents can often be computed via saddle point approximations, e.g. $$\int e^{-\lambda f(x)}\approx e^{-\lambda f(x_0)},\qquad \lambda\to\infty …
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