67 citations · 371 across the 26 of their papers we have counts for
26 papers
Generalized Hermite Polynomials and Spectral Degeneracies of a Singular Sextic Oscillator
Davide Guzzetti, Dmitrii Rachenkov
We study a quasi-exactly solvable singular sextic oscillator and its algebraic spectrum. For a distinguished range of parameters, we prove that the discriminant of the characterist…
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…
Isomonodromic deformations along a stratum of the coalescence locus
Davide Guzzetti
We consider deformations of a differential system with Poincare' rank 1 at infinity and Fuchsian singularity at zero along a stratum of a coalescence locus. We give necessary and s…
The sixth Painleve' equation as isomonodromy deformation of an irregular system: monodromy data, coalescing eigenvalues, locally holomorphic transcendents and Frobenius manifolds
Gabriele Degano, Davide Guzzetti
We consider a 3-dimensional Pfaffian system, whose z-component is a differential system with irregular singularity at infinity and Fuchsian at zero. In the first part of the paper,…
Graph neural networks for simulating crack coalescence and propagation in brittle materials
Roberto Perera, Davide Guzzetti, Vinamra Agrawal
High-fidelity fracture mechanics simulations of multiple microcracks interaction via physics-based models quickly become computationally expensive as the number of microcracks incr…
Optimized and autonomous machine learning framework for characterizing pores, particles, grains and grain boundaries in microstructural images
Roberto Perera, Davide Guzzetti, Vinamra Agrawal
Additively manufactured metals exhibit heterogeneous microstructure which dictates their material and failure properties. Experimental microstructural characterization techniques g…