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Invariants of complex structures on nilmanifolds
(2015)
Let (N, J) be a simply connected 2n-dimensional nilpotent Lie group endowed with an invariant complex structure. We define a left invariant Riemannian metric on N compatible with J to be minimal, if it minimizes the norm ...
A rescaling of the phase space for Hamiltonian map: Applications on the Kepler map and mappings with diverging angles in the limit of vanishing action
(2013-07-23)
A rescale of the phase space for a family of two-dimensional, nonlinear Hamiltonian mappings was made by using the location of the first invariant Kolmogorov-Arnold-Moser (KAM) curve. Average properties of the phase space ...
A rescaling of the phase space for Hamiltonian map: Applications on the Kepler map and mappings with diverging angles in the limit of vanishing action
(2013-07-23)
A rescale of the phase space for a family of two-dimensional, nonlinear Hamiltonian mappings was made by using the location of the first invariant Kolmogorov-Arnold-Moser (KAM) curve. Average properties of the phase space ...
Invariant relationships deriving from classical scaling transformations
(American Institute of Physics, 2011)
Because scaling symmetries of the Euler–Lagrange equations are generally not variational
symmetries of the action, they do not lead to conservation laws. Instead, an
extension of Noether’s theorem reduces the equations ...
Dynamics towards the steady state applied for the Smith-Slatkin mapping
(2018-03-01)
We derived explicit forms for the convergence to the steady state for a 1-D Smith–Slatkin mapping at and near at bifurcations. We used a phenomenological description with a set of scaling hypothesis leading to a homogeneous ...
Lévy processes and the Brazilian marketLévy processes and the Brazilian market
(Sociedade Brasileira de Econometria, 2001)