@incollection {PeWi2010,
    AUTHOR = {Pemantle, Robin and Wilson, Mark C.},
     TITLE = {Asymptotic expansions of oscillatory integrals with complex
              phase},
 BOOKTITLE = {Algorithmic probability and combinatorics},
    SERIES = {Contemp. Math.},
    VOLUME = {520},
     PAGES = {221-240},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {2010},
       keywords={ACSV theory},
  url_Paper={https://arxiv.org/pdf/0903.3585.pdf},
  abstract={We consider saddle point integrals in $d$ variables whose phase function
is neither real nor purely imaginary. Results analogous to those for
Laplace (real phase) and Fourier (imaginary phase) integrals hold
whenever the phase function is analytic and nondegenerate. These results
generalize what is well known for integrals of Laplace and Fourier type.
The method is via contour shifting in complex $d$-space. This work is
motivated by applications to asymptotic enumeration.}
}

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