3 papers
math-ph2026
Which Saddles Contribute? The South-East Rule for Multidimensional Integrals
Inês Aniceto, Job Feldbrugge, Christopher J. Howls
In this paper, we introduce and demonstrate a simple geometric algorithm to determine which critical points, both complex as well as real, contribute to the asymptotic evaluation o…
math-ph2025
Appearance of the higher-order Stokes phenomenon in a discrete Airy equation
Aaron J. Moston-Duggan, Christopher J. Howls, Christopher J. Lustri
We study a discrete variant of the Airy equation, formulated as an advance-delay equation, to reveal that discretization induces the higher-order Stokes phenomenon, which is not pr…
math.CA2024
Smoothing of the higher-order Stokes phenomenon
Chris J. Howls, John R. King, GergÅ Nemes +1
For nearly a century and a half the Stokes phenomenon had been perceived as a discontinuous change in the asymptotic representation of a function. In 1989 Berry demonstrated how it…