54 citations · 166 across the 7 of their papers we have counts for
7 papers
Consumption and Portfolio Rules for Time-Inconsistent Investors
Jesus Marin-Solano, Jorge Navas
This paper extends the classical consumption and portfolio rules model in continuous time (Merton 1969, 1971) to the framework of decision-makers with time-inconsistent preferences…
Pre-multisymplectic constraint algorithm for field theories
M. de Leon, J. Marin-Solano, J. C. Marrero +2
We present a geometric algorithm for obtaining consistent solutions to systems of partial differential equations, mainly arising from singular covariant first-order classical field…
Lagrangian-Hamiltonian unified formalism for field theory
A. Echeverría-Enríquez, C. López, J. Marín-Solano +2
The Rusk-Skinner formalism was developed in order to give a geometrical unified formalism for describing mechanical systems. It incorporates all the characteristics of Lagrangian a…
Geometric reduction in optimal control theory with symmetries
A. Echeverría-Enríquez, J. Marín-Solano, M. C. Muñoz-Lecanda +1
A general study of symmetries in optimal control theory is given, starting from the presymplectic description of this kind of system. Then, Noether's theorem, as well as the corres…
Singular Lagrangian Systems on Jet Bundles
M. de León, J. Marín-Solano, J. C. Marrero +2
The jet bundle description of time-dependent mechanics is revisited. The constraint algorithm for singular Lagrangians is discussed and an exhaustive description of the constraint…
On the construction of K-operators in field theories as sections along Legendre maps
A. Echeverría-Enríquez, J. Marín-Solano, M. C. Muñoz-Lecanda +1
The ``time-evolution operator'' in mechanics is a powerful tool which can be geometrically defined as a vector field along the Legendre map. It has been extensively used by several…
Some geometric aspects of variational calculus in constrained mechanics
Xavier Gracia, Jesus Marin-Solano, Miguel-C. Munoz-Lecanda
We give a geometric description of variational principles in mechanics, with special attention to constrained systems. For the general case of nonholonomic constraints, a unified v…