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math-ph2025
r-Matrices for integrable systems
Marta Dell'Atti
We consider some algebraic and geometric aspects of the theory of integrable systems in finite dimensions, associated with the existence of a classical -matrix, first introduced…
math-ph2025
Random matrix ensembles and integrable differential identities
Costanza Benassi, Marta Dell'Atti, Antonio Moro
Integrable differential identities, together with ensemble-specific initial conditions, provide an effective approach for the characterisation of relevant observables and state fun…
math-ph2025
Geometric aspects of non-homogeneous 1+0 operators
Marta Dell'Atti, Alessandra Rizzo, Pierandrea Vergallo
Led by the key example of the Korteweg-de Vries equation, we study pairs of Hamiltonian operators which are non-homogeneous and are given by the sum of a first-order operator and a…