Asymptotic expansions of oscillatory integrals with complex phase

zbMath1207.41020arXiv0903.3585MaRDI QIDQ3062360

Mark C. Wilson, Robin Pemantle

Publication date: 3 January 2011

Full work available at URL: https://arxiv.org/abs/0903.3585

zbMATH Keywords

smoothsaddle pointstationary phaseFourierLaplaceanalyticCauchy integral formulacontour methods

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Multidimensional problems (41A63) Asymptotic enumeration (05A16)

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Recent Results on Stability of Planar Detonations ⋮ Helmholtz and Gibbs ensembles, thermodynamic limit and bistability in polymer lattice models ⋮ Weighted lattice walks and universality classes ⋮ Archimedean zeta functions and oscillatory integrals ⋮ Spectral and asymptotic properties of Grover walks on crystal lattices ⋮ Spectral density functions of bivariable stable polynomials ⋮ Block-Diagonalization of ODEs in the Semiclassical Limit and $C^\omega$ versus $C^\infty$ Stationary Phase

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