2 citations · 4 across the 3 of their papers we have counts for
4 papers
Superintegrability of discrete-time rational Ruijsenaars-Schneider model and deformed polynomial symmetry algebras
Pavel Drozdov
We explicitly construct the additional integrals of motion, ensuring maximal superintegrability of the discrete-time rational Ruijsenaars-Schneider model. Using them, we investigat…
Discrete-time maximally superintegrable systems and deformed symmetry algebras: the Calogero-Moser case
Pavel Drozdov, Giorgio Gubbiotti, Danilo Latini
We determine the complete structure of the symmetry algebras associated with the N-body Calogero-Moser system and its maximally superintegrable discretization. We prove that the di…
Explicit isomorphisms for the symmetry algebras of continuous and discrete isotropic oscillators
Pavel Drozdov, Giorgio Gubbiotti, Danilo Latini
We present a detailed study of a parametric Lie algebra encompassing the symmetry algebras of various models, both continuous and discrete. This algebraic structure characterizes t…
Discrete-time systems in quasi-standard form and the coalgebra symmetry
Pavel Drozdov, Giorgio Gubbiotti
In this paper, we characterize all discrete-time systems in quasi-standard form admitting coalgebra symmetry with respect to the Lie--Poisson algebra . The outcom…