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New contributions to the Hamiltonian and Lagrangian contact formalisms for dissipative mechanical systems and their symmetries
(2020-06-01)
Article
Restricted access - publisher's policyWe provide new insights into the contact Hamiltonian and Lagrangian formulations of dissipative mechanical systems. In particular, we state a new form of the contact dynamical equations, and we review two recently presented ... -
Griffiths variational multisymplectic formulation for Lovelock gravity
(2020-08-24)
Article
Restricted access - publisher's policyThis work is mainly devoted to constructing a multisymplectic description of Lovelock’s gravity, which is an extension of General Relativity. We establish the Griffiths variational problem for the Lovelock Lagrangian, ... -
Embeddability and rate identifiability of Kimura 2-parameter matrices
(2020-03-01)
Article
Restricted access - publisher's policyDeciding whether a substitution matrix is embeddable (i.e. the corresponding Markov process has a continuous-time realization) is an open problem even for 4×4 matrices. We study the embedding problem and rate identifiability ... -
Buscando órbitas períodicas
(Real Sociedad Matemática Española, 2020-11-07)
Article
Open AccessEn este artículo presentamos una aproximación topológica y geométrica al estudio de órbitas periódicas (existencia y localización) tomando como punto de partida problemas de mecánica celeste. Describimos, a grandes rasgos, ... -
The geometry of e-manifolds
(2020)
Article
Open AccessMotivated by the study of symplectic Lie algebroids, we focus on a type of algebroid (called an E-tangent bundle) which is particularly well suited to the study of singular differential forms and their cohomology. ... -
On Geometric Quantization of b^m-symplectic manifolds
(2020-08-25)
Article
Open AccessWe study the formal geometric quantization of bm-symplectic manifolds equipped with Hamiltonian actions of a torus T with nonzero leading modular weight. The resulting virtual T-modules are finite dimensional when m is ... -
Understanding the phenomenology of interacting dark energy scenarios and their theoretical bounds
(American Physical Society (APS), 2020-06-15)
Article
Open AccessNongravitational interaction between dark matter and dark energy has been considered in a spatially flat Friedmann-Lemaître-Robertson-Walker (FLRW) universe. The interaction rate is assumed to be linear in the energy ... -
Rigidity of cotangent lifts and integrable systems
(2020-11)
Article
Open AccessIn this article we generalize a theorem by Palais on the rigidity of compact group actions to cotangent lifts. We use this result to prove rigidity for integrable systems on symplectic manifolds including systems with ... -
Bass numbers of local cohomology of cover ideals of graphs
(2020)
Article
Restricted access - publisher's policyWe develop splitting techniques to study the Lyubeznik numbers of cover ideals of graphs which allow us to describe them for large families of graphs including forests, cycles, wheels and cactus graphs. More generally, we ... -
On some local cohomology spectral sequences
(2020)
Article
Restricted access - publisher's policyWe introduce a formalism to produce several families of spectral sequences involving the derived functors of the limit and colimit functors over a finite partially ordered set. The 1st type of spectral sequences involves ... -
Scaling solutions in quintessential inflation
(springer-Verlag, 2020-05)
Article
Open AccessIn quintessence scalar field theories, the presence of scaling solutions are important during the radiation and matter epoch due to having their attractor character. Usually, it is assumed that the initial conditions of ... -
Embeddability of Kimura 3ST Markov matrices
(2018-05-14)
Article
Open AccessIn this note, we characterize the embeddability of generic Kimura 3ST Markov matrices in terms of their eigenvalues. As a consequence, we are able to compute the volume of such matrices relative to the volume of all Markov ...
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