69 citations · 403 across the 26 of their papers we have counts for
8 papers · 1 filter
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…
On the monodromy of the deformed cubic oscillator
Tom Bridgeland, Davide Masoero
We study a second-order linear differential equation known as the deformed cubic oscillator, whose isomonodromic deformations are controlled by the first Painlev{é} equation. We us…
Roots of generalised Hermite polynomials when both parameters are large
Davide Masoero, Pieter Roffelsen
We study the roots of the generalised Hermite polynomials when both and are large. We prove that the roots, when appropriately rescaled, densely fill a bounded qu…
Poles of Painlevé IV Rationals and their Distribution
Davide Masoero, Pieter Roffelsen
We study the distribution of singularities (poles and zeros) of rational solutions of the Painlevé IV equation by means of the isomonodromic deformation method. Singularities are e…
The Direct Monodromy Problem of Painleve-I
Davide Masoero
The Painleve first equation can be represented as the equation of isomonodromic deformation of a Schrodinger equation with a cubic potential. We introduce a new algorithm for compu…
Y-System and Deformed Thermodynamic Bethe Ansatz
Davide Masoero
We introduce a new tool, the Deformed TBA (Deformed Thermodynamic Bethe Ansatz), to analyze the monodromy problem of the cubic oscillator. The Deformed TBA is a system of five coup…