4 citations · 5 across the 5 of their papers we have counts for
5 papers
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…
Poisson Structures on Trivial Extension Algebras
D. García-Beltrán, J. C. Ruíz-Pantaleón, Yu. Vorobiev
We present a class of Poisson structures on trivial extension algebras which generalize some known structures induced by Poisson modules. We show that there exists a one-to-one cor…
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…
On Computational Poisson Geometry II: Numerical Methods
M. Evangelista-Alvarado, J. C. Ruíz-Pantaleón, P. Suárez-Serrato
We present twelve numerical methods for evaluation of objects and concepts from Poisson geometry. We describe how each method works with examples, and explain how it is executed in…