670 citations · 3.3k across the 47 of their papers we have counts for
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Classical W-algebras for gl_N and associated integrable Hamiltonian hierarchies
Alberto De Sole, Victor G. Kac, Daniele Valeri
We apply the new method for constructing integrable Hamiltonian hierarchies of Lax type equations developed in our previous paper, to show that all W-algebras W(gl_N,f) carry such…
A new scheme of integrability for (bi)Hamiltonian PDE
Alberto De Sole, Victor G. Kac, Daniele Valeri
We develop a new method for constructing integrable Hamiltonian hierarchies of Lax type equations, which combines the fractional powers technique of Gelfand and Dickey, and the cla…
Quantitative analysis of Clausius inequality
L. Bertini, A. De Sole, D. Gabrielli +2
In the context of driven diffusive systems, for thermodynamic transformations over a large but finite time window, we derive an expansion of the energy balance. In particular, we c…