3 papers
math.CA2026
Automorphisms of Stokes multipliers in higher-order WKBJ theory
Josh Shelton, Samuel Crew, Christopher J. Lustri
We consider the Stokes phenomenon and higher-order Stokes phenomenon (HOSP) of formal asymptotic transseries arising in the WKBJ analysis of linear differential equations and integ…
math.NT2025
Resurgence, Habiro elements and strange identities
Samuel Crew, Veronica Fantini, Ankush Goswami +2
We prove resurgence properties for the Borel transform of a formal power series associated to elements in the Habiro ring that come from radial limits of partial theta series via s…
math.CA2024
Exponential asymptotics and higher-order Stokes phenomenon in singularly perturbed ODEs
Josh Shelton, Samuel Crew, Philippe H. Trinh
The higher-order Stokes phenomenon can emerge in the asymptotic analysis of many problems governed by singular perturbations. Indeed, over the last two decades, the phenomena has a…