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Geometric quantization of almost toric manifolds
(2020)
Article
Open AccessKostant gave a model for the geometric quantization via the cohomology associated to the sheaf of flat sections of a pre-quantum line bundle. This model is well-adapted for real polarizations given by integrable systems ... -
Algebraic statistics in practice: applications to networks
(2020-01-01)
Article
Open AccessAlgebraic statistics uses tools from algebra (especially from multilinear algebra, commutative algebra, and computational algebra), geometry, and combinatorics to provide insight into knotty problems in mathematical ... -
A contact geometry framework for field theories with dissipation
(2020-03-01)
Article
Open AccessWe develop a new geometric framework suitable for dealing with Hamiltonian field theories with dissipation. To this end we define the notions of k-contact structure and k-contact Hamiltonian system. This is a generalization ... -
Unified Lagrangian-Hamiltonian formalism for contact systems
(2020-06-23)
Article
Restricted access - publisher's policyWe present a unified geometric framework for describing both the Lagrangian and Hamiltonian formalisms of contact autonomous mechanical systems, which is based on the approach of the pioneering work of R. Skinner and R. ... -
La compacitat, una noció seminal en l'evolució de la topologia general (1895-1930)
(2020)
Article
Open AccessEn aquest article es revisa l'evolució de la definició d'espai topològic compacte des de la primera definició de Fréchet el 1904, que va generalitzar la propietat de Bolzano-Weierstrass, passant per la relació amb el teorema ... -
Matter Bounce Scenario in F(T) gravity
(2016)
Article
Open AccessIt is shown that teleparallel F(T) theories of gravity combined with holonomy corrected Loop Quantum Cosmology (LQC) support a Matter Bounce Scenario (MBS) which is a potential alternative to the inflationary paradigm. The ... -
Viability of the Matter Bounce Scenario
(Institute of Physics (IOP), 2015)
Article
Open AccessIt is shown that teleparallel F(T) theories of gravity combined with Loop Quantum Cosmology support a Matter Bounce Scenario which is an alternative to the inflation scenario in the Big Bang paradigm. It is checked that ... -
New contributions to the Hamiltonian and Lagrangian contact formalisms for dissipative mechanical systems and their symmetries
(2020-06-01)
Article
Open AccessWe 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
Open AccessDeciding 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
(2021)
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. ...
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