4 citations · 5 across the 5 of their papers we have counts for
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On the First Cohomology of Infinitesimal Poisson Algebras
D. García-Beltrán, J. C. Ruíz-Pantaleón, E. Velasco-Barreras
For the so-called infinitesimal Poisson algebras encoding first-order jets of Poisson submanifolds, we provide a description of their first cohomology in terms of intrinsic cohomol…
Areas on the space of smooth probability density functions on
J. C. Ruíz-Pantaleón, P. Suárez-Serrato
We present symbolic and numerical methods for computing Poisson brackets on the spaces of measures with positive densities of the plane, the 2-torus, and the 2-sphere. We apply our…
Geometrical Aspects of the Hamiltonization Problem of Dynamical Systems
Misael Avendaño-Camacho, Claudio C. García-Mendoza, José C. Ruíz-Pantaleón +1
Some positive answers to the problem of endowing a dynamical system with a Hamiltonian formulation are presented within the class of Poisson structures in a geometric framework. We…