3 papers
math-ph2026
ODE/IM Correspondence at the Free-Fermion Point. Laguerre Wronskians, Shifted Symmetric Functions, and Quantum KdV
Davide Masoero, Giulio Ruzza
We consider the ODE/IM correspondence for the value of the Virasoro central charge (free-fermion point) and the associated quantum KdV model the quantization of the seco…
math.CA2025
Asymptotic solutions for linear ODEs with not-necessarily meromorphic coefficients: a Levinson type theorem on complex domains, and applications
Giordano Cotti, Davide Guzzetti, Davide Masoero
In this paper, we consider systems of linear ordinary differential equations, with analytic coefficients on big sectorial domains, which are asymptotically diagonal for large value…
math-ph2025
A primer of the complex WKB method, with application to the ODE/IM correspondence
Gabriele Degano, Davide Masoero
In these lectures, we provide an introduction to the complex WKB method, using as a guiding example a class of anharmonic oscillators that appears in the ODE/IM correspondence. In…