4 citations · 4 across the 9 of their papers we have counts for
3 papers · 1 filter
Symplectic Group Actions and Covering Spaces
James Montaldi, Juan-Pablo Ortega
For symplectic group actions which are not Hamiltonian there are two ways to define reduction. Firstly using the cylinder-valued momentum map and secondly lifting the action to any…
The momentum map in Poisson geometry
Rui Loja Fernandes, Juan-Pablo Ortega, Tudor S. Ratiu
Every action on a Poisson manifold by Poisson diffeomorphisms lifts to a Hamiltonian action on its symplectic groupoid which has a canonically defined momentum map. We study variou…
Stochastic Hamiltonian dynamical systems
Joan-Andreu Lázaro-Camí, Juan-Pablo Ortega
We use the global stochastic analysis tools introduced by P. A. Meyer and L. Schwartz to write down a stochastic generalization of the Hamilton equations on a Poisson manifold that…