56 citations · 403 across the 41 of their papers we have counts for
20 papers · 1 filter
Haantjes torsion and integrability: a proof of Bolsinov-Konyaev-Matveev's conjecture
Alessandro Arsie, Paolo Lorenzoni
We prove a conjecture formulated by Bolsinov, Konyaev and Matveev in [7] stating that, integrability of a system of hydrodynamic type with $\mathfr…
Miura-reciprocal transformations and localizable Poisson pencils
P. Lorenzoni, S. Shadrin, R. Vitolo
We show that the equivalence classes of deformations of localizable semisimple Poisson pencils of hydrodynamic type with respect to the action of the Miura-reciprocal group contain…
Weakly nonlocal Poisson brackets: tools, examples, computations
Matteo Casati, Paolo Lorenzoni, Daniele Valeri +1
We implement an algorithm for the computation of Schouten bracket of weakly nonlocal Hamiltonian operators in three different computer algebra systems: Maple, Reduce and Mathematic…
Flat F-manifolds, F-CohFTs, and integrable hierarchies
Alessandro Arsie, Alexandr Buryak, Paolo Lorenzoni +1
We define the double ramification hierarchy associated to an F-cohomological field theory and use this construction to prove that the principal hierarchy of any semisimple (homogen…
Three computational approaches to weakly nonlocal Poisson brackets
M. Casati, P. Lorenzoni, R. Vitolo
We compare three different ways of checking the Jacobi identity for weakly nonlocal Poisson brackets using the theory of distributions, of pseudodifferential operators and of Poiss…
An exact study of phase transitions in mean field Potts models
Paolo Lorenzoni, Antonio Moro
We construct the exact partition function of the Potts model on a complete graph subject to external fields with linear and nematic type couplings. The partition function is obtain…