Articles de revista: Recent submissions
Now showing items 1-12 of 123
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Of limit key polynomials
(2021-04-01)
Article
Open AccessLet ν be a valuation of arbitrary rank on the polynomial ring K[x] with coefficients in a field K. We prove comparison theorems between MacLane-Vaquié key polynomials for valuations μ ≤ν and abstract key polynomials for ... -
The singular Weinstein conjecture
(2021-07-23)
Article
Open AccessIn this article, we investigate Reeb dynamics on bm-contact manifolds, previously introduced in [37], which are contact away from a hypersurface Zbut satisfy certain transversality conditions on Z. The study of these contact ... -
On the singular Weinstein conjecture and the existence of escape orbits for b-Beltrami fields
(2021-07-01)
Article
Open AccessMotivated by Poincaré’s orbits going to infinity in the (restricted) three-body problem, we investigate the generic existence of heteroclinic-like orbits in a neighbourhood of the critical set of a b-contact form. This is ... -
Geometric quantization via cotangent models
(2021-09)
Article
Open AccessIn this article we give a universal model for geometric quantization associated to a real polarization given by an integrable system with non-degenerate singularities. This universal model goes one step further than the ... -
Discrepancies between observational data and theoretical forecast in single field slow roll inflation
(2016-09-09)
Article
Open AccessThe PLANCK collaboration has determined, or greatly constrained, values for the spectral parameters of the CMB radiation, namely the spectral index ns, its running as, the running of the running ßs, using a growing body ... -
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
Open AccessWe 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 ...
