Recent Submissions

  • b-Structures on Lie groups and Poisson reduction 

    Miranda Galcerán, Eva; Kiesenhofer, Anna; Braddell, Roisin (2022-02-11)
    Article
    Restricted access - publisher's policy
    Motivated by the group of Galilean transformations and the subgroup of Galilean transformations which fix time zero, we introduce the notion of a b-Lie group as a pair where G is a Lie group and H is a codimension-one Lie ...
  • Two-dimensional Riemann problem for rigid representations on an elliptic curve 

    Matveeva, Anastasiia; Poberezhnyi, Vladimir Andreevich (2017-04-01)
    Article
    Open Access
    We consider a generalization of Riemann–Hilbert problem on elliptic curves. For a given elliptic curve and irreducible representation of free group with two generators we construct explicitly a semistable vector bundle of ...
  • An inextensible model for the robotic manipulation of textiles 

    Coltraro Ianniello, Franco; Amorós Torrent, Jaume; Alberich Carramiñana, Maria; Torras, Carme (2022-01-01)
    Article
    Open Access
    We introduce a new isometric strain model for the study of the dynamics of cloth garments in a moderate stress environment, such as robotic manipulation in the neighborhood of humans. This model treats textiles as surfaces ...
  • An open set of 4×4 embeddable matrices whose principal logarithm is not a Markov generator 

    Casanellas Rius, Marta; Fernández Sánchez, Jesús; Roca Lacostena, Jordi (Taylor & Francis, 2020-12-17)
    Article
    Open Access
    A Markov matrix is embeddable if it can represent a homogeneous continuous-time Markov process. It is well known that if a Markov matrix has real and pairwise-different eigenvalues, then the embeddability can be determined ...
  • The groupoid of finite sets is biinitial in the 2-category of rig categories 

    Elgueta Montó, Josep (2021-11-01)
    Article
    Restricted access - publisher's policy
    The groupoid of finite sets has a “canonical” structure of a symmetric 2-rig with the sum and product respectively given by the coproduct and product of sets. This 2-rig ^ FSet is just one of the many non-equivalent ...
  • A K-contact Lagrangian formulation for nonconservative field theories 

    Gaset Rifà, Jordi; Gràcia Sabaté, Francesc Xavier; Muñoz Lecanda, Miguel Carlos; Rivas Guijarro, Xavier; Román Roy, Narciso (2021-06-01)
    Article
    Restricted access - publisher's policy
    Dynamical systems with dissipative behaviour can be described in terms of contact manifolds and a modified version of Hamilton's equations. Dissipation terms can also be added to field equations, as showed in a recent paper ...
  • Skinner–Rusk formalism for k-contact systems 

    Gràcia Sabaté, Francesc Xavier; Rivas Guijarro, Xavier; Román Roy, Narciso (2022-02-01)
    Article
    Open Access
    In previous papers, a geometric framework has been developed to describe non-conservative field theories as a kind of modified Lagrangian and Hamiltonian field theories. This approach is that of k-contact Hamiltonian ...
  • Regular local rings of dimension four and Gorenstein syzygetic prime ideals 

    Planas Vilanova, Francesc d'Assís (Elsevier, 2022-07-01)
    Article
    Restricted access - publisher's policy
    Let R be a Noetherian local ring. We prove that R is regular of dimension at most 4 if, and only if, every prime ideal, defining a Gorenstein quotient ring, is syzygetic. We deduce a characterization of these rings in terms ...
  • Slope inequalities for fibrations of non-maximal Albanese dimension 

    Barja Yáñez, Miguel Ángel (2021-06-15)
    Article
    Open Access
    We study and obtain Slope inequalities for fibred irregular varieties of non-maximal Albanese dimension. We give a comparison theorem between Clifford–Severi and Slope inequalities for this type of fibrations. We also ...
  • The second-order problem for k-presymplectic Lagrangian field theories: application to the Einstein–Palatini model 

    Adame Carrillo, David; Gaset Rifà, Jordi; Román Roy, Narciso (springer-Verlag, 2022-01-01)
    Article
    Open Access
    In general, the system of 2nd-order partial differential equations made of the Euler–Lagrange equations of classical field theories are not compatible for singular Lagrangians. This is the so-called second-order problem. ...
  • Turing universality of the incompressible Euler equations and a conjecture of Moore 

    Cardona Aguilar, Robert; Miranda Galcerán, Eva; Peralta-Salas, Daniel (2021-08-24)
    Article
    Restricted access - publisher's policy
    In this article, we construct a compact Riemannian manifold of high dimension on which the time-dependent Euler equations are Turing complete. More precisely, the halting of any Turing machine with a given input is equivalent ...
  • Integrable systems on singular symplectic manifolds: from local to global 

    Cardona Aguilar, Robert; Miranda Galcerán, Eva (2021-09-22)
    Article
    Restricted access - publisher's policy
    In this article, we consider integrable systems on manifolds endowed with symplectic structures with singularities of order one. These structures are symplectic away from a hypersurface where the symplectic volume goes ...

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