Recent Submissions

  • Valuations with an infinite limit-depth 

    Alberich Carramiñana, Maria; Guàrdia Rubies, Jordi; Nart Vinyals, Enric; Roé Vallvé, Joaquim (2023-08-08)
    Article
    Restricted access - publisher's policy
    We construct a field K and a valuation-algebraic valuation on K[x] , whose underlying Maclane–Vaquié chain consists of an infinite (countable) number of limit augmentations.
  • Multisymplectic constraint analysis of scalar field theories, Chern-Simons gravity, and bosonic string theory 

    Gomis Torné, Joaquim; Guerra IV, Arnoldo; Román Roy, Narciso (Elsevier, 2023-02)
    Article
    Open Access
    The (pre)multisymplectic geometry of the De Donder–Weyl formalism for field theories is further developed for a variety of field theories including a scalar field theory from the canonical Klein-Gordon action, the electric ...
  • Grid equivalent representation of power systems with penetration of power electronics 

    Song, Jie; Cheah Mañé, Marc; Prieto Araujo, Eduardo; Amorós Torrent, Jaume; Gomis Bellmunt, Oriol (Institute of Electrical and Electronics Engineers (IEEE), 2023-03-13)
    Article
    Open Access
    The Thévenin equivalent is considered as the standard grid equivalent for power system analysis. The integration on power electronics components in the power systems introduces non-linear operation characteristics that ...
  • From 2N to infinitely many escape orbits 

    Fontana McNally, Josep; Miranda Galcerán, Eva; Oms, Cédric; Peralta Salas, Daniel (Pleiades Publishing, 2023-07-31)
    Article
    Restricted access - publisher's policy
    —In this short note, we prove that singular Reeb vector fields associated with generic b-contact forms on three dimensional manifolds with compact embedded critical surfaces have either (at least) 2N or an infinite number ...
  • Constructions of b-semitoric systems 

    Brugués Mora, Joaquim; Hohloch, Sonja; Mir Garcia, Pau; Miranda Galcerán, Eva (2023-07-01)
    Article
    Open Access
    In this article, we introduce b-semitoric systems as a generalization of semitoric systems, specifically tailored for b-symplectic manifolds. The objective of this article is to furnish a collection of examples and investigate ...
  • Contact structures with singularities: from local to global 

    Miranda Galcerán, Eva; Oms, Cédric (Elsevier, 2023-10-01)
    Article
    Open Access
    In this article we introduce and analyze in detail singular contact structures, with an emphasis on bm -contact structures, which are tangent to a given smooth hypersurface Z and satisfy certain transversality conditions. ...
  • Designing weights for quartet-based methods when data are heterogeneous across lineages 

    Casanellas Rius, Marta; Fernández Sánchez, Jesús; Garrote López, Marina; Sabaté Vidales, Marc (Springer Nature, 2023-06-13)
    Article
    Open Access
    Homogeneity across lineages is a general assumption in phylogenetics according to which nucleotide substitution rates are common to all lineages. Many phylogenetic methods relax this hypothesis but keep a simple enough ...
  • A representation of cloth states based on a derivative of the Gauss linking integral 

    Coltraro, Franco; Fontana, Josep; Amorós Torrent, Jaume; Alberich Carramiñana, Maria; Borràs Sol, Júlia; Torras, Carme (Elsevier, 2023-11-15)
    Article
    Open Access
    Robotic manipulation of cloth is a complex task because of the infinite-dimensional shape-state space of textiles, which makes their state estimation very difficult. In this paper we introduce the dGLI Cloth Coordinates, ...
  • Universality of Euler flows and flexibility of Reeb embeddings 

    Cardona Aguilar, Robert; Miranda Galcerán, Eva; Peralta Salas, Daniel; Presas, Francisco (Elsevier, 2023-09-01)
    Article
    Open Access
    The dynamics of an inviscid and incompressible fluid flow on a Riemannian manifold is governed by the Euler equations. Recently, Tao [38], [39] launched a programme to address the global existence problem for the Euler and ...
  • Optimal control, contact dynamics and Herglotz variational problem 

    de León Rodríguez, Manuel; Lainz Valcázar, Manuel; Muñoz Lecanda, Miguel Carlos (Springer Nature, 2022-11-11)
    Article
    Open Access
    In this paper, we combine two main topics in mechanics and optimal control theory: contact Hamiltonian systems and Pontryagin maximum principle. As an important result, among others, we develop a contact Pontryagin maximum ...
  • Hamiltonian facets of classical gauge theories on E-manifolds 

    Mir Garcia, Pau; Miranda Galcerán, Eva; Nicolás Martínez, Pablo (Institute of Physics (IOP), 2023-06-06)
    Article
    Open Access
    Manifolds with boundary, with corners, b-manifolds and foliations model configuration spaces for particles moving under constraints and can be described as E-manifolds. E-manifolds were introduced in Nest and Tsygan (2001 ...
  • Sundman transformation and alternative tangent structures 

    Cariñena Marzo, José Fernando; Martínez Fernandez, Eduardo; Muñoz Lecanda, Miguel Carlos (Institute of Physics (IOP), 2023-04-12)
    Article
    Restricted access - publisher's policy
    A geometric approach to Sundman transformation defined by basic functions for systems of second-order differential equations is developed and the necessity of a change of the tangent structure by means of the function ...

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