Recent Submissions

  • A promenade through singular symplectic geometry 

    Nicolás Martínez, Pablo (2024-12-11)
    Article
    Open Access
    In this article, we present symplectic and Poisson geometry from the perspective ofHamiltonian mechanics. We then introduce symplectic Lie algebroids, objects whichlie between symplectic and Poisson manifolds. ...
  • Oscillatory motions, parabolic orbits and collision orbits in the planar circular restricted three-body problem 

    Lamas Rodríguez, José; Guàrdia Munarriz, Marcel; Martínez-Seara Alonso, M. Teresa (Springer, 2025-04-10)
    Article
    Restricted access - publisher's policy
    In this paper we consider the planar circular restricted three body problem (PCRTBP), which models the motion of a massless body under the attraction of other two bodies, the primaries, which describe circular orbits around ...
  • Griesmer type bounds for additive codes over finite fields, integral and fractional MDS codes 

    Ball, Simeon Michael; Lavrauw, Michel; Popatia, Tabriz Arun Avery (2024-11-03)
    Article
    Open Access
    In this article we prove Griesmer type bounds for additive codes over finite fields. These new bounds give upper bounds on the length of maximum distance separable (MDS) codes, codes which attain the Singleton bound. We ...
  • Stabiliser codes over fields of even order 

    Ball, Simeon Michael; Moreno Martínez, Edgar; Simoens, Robin Nicolas (2024-09-04)
    Article
    Open Access
    We prove that the natural isomorphism F2h ~= F h 2 induces a bijection between stabilizer codes on n quqits with local dimension q = 2h and binary stabilizer codes on hn qubits. This allows us to describe these codes ...
  • Splitting of separatrices for rapid degenerate perturbations of the classical pendulum 

    Baldomá Barraca, Inmaculada; Martínez-Seara Alonso, M. Teresa; Moreno González, Román (2024-06-30)
    Article
    Open Access
    In this work we study the splitting distance of a rapidly perturbed pendulum with a -periodic function and . Systems of this kind undergo exponentially small splitting, and, when , it is known that the Melnikov function ...
  • Product-free sets in the free group 

    Ortega Sánchez Colomer, Miquel; Rué Perna, Juan José; Serra Albó, Oriol (2024-07)
    Article
    Open Access
    We prove that product-free subsets of the free group over a finite alphabet have maximum upper density mathematical equation with respect to the natural measure that assigns total weight one to each set of irreducible words ...
  • The edge labeling of higher order Voronoi diagrams 

    Claverol Aguas, Mercè; Heras Parrilla, Andrea de las; Huemer, Clemens; Martínez Moraian, Alejandra (2024-05-21)
    Article
    Restricted access - publisher's policy
    We present an edge labeling of order-k Voronoi diagrams, , of point sets S in the plane, and study properties of the regions defined by them. Among them, we show that has a small orientable cycle and path double cover, ...
  • Convergence of generalized MIT bag models to Dirac operators with zigzag boundary conditions 

    Duran Lamiel, Joaquim; Mas Blesa, Albert (Springer, 2024-08-01)
    Article
    Open Access
    This work addresses the resolvent convergence of generalized MIT bag operators to Dirac operators with zigzag type boundary conditions. We prove that the convergence holds in strong but not in norm resolvent sense. Moreover, ...
  • A comparative analysis of european media coverage of the Israel-Gaza war using hesitant fuzzy linguistic term sets 

    Abuasaker, Walaa; Sánchez Soler, Monica; Nguyen, Jennifer; Agell, Núria; Agell, Nil; Ruiz Vegas, Francisco Javier (Multidisciplinary Digital Publishing Institute (MDPI), 2025-01-12)
    Article
    Open Access
    Representing and interpreting human opinions within an unstructured framework is inherently complex. Hesitant fuzzy linguistic term sets offer a comprehensive context that facilitates a nuanced understanding of diverse ...
  • On the behaviour of Hodge spectral exponents of plane branches 

    Gómez López, Roger (2024-12-11)
    Article
    Open Access
    The Hodge spectral exponents are a discrete set of invariants of an isolated hyper-surface singularity. We study their distribution for the case of plane branches, in terms of numerical invariants of the branch. First, we ...
  • A comparison of formulations and non-linear solvers for computational modeling of semiconductor devices 

    Pérez Escudero, Sergi; Codony Gisbert, David; Arias Vicente, Irene; Fernández Méndez, Sonia (Springer, 2024-11-23)
    Article
    Open Access
    The drift-diffusion formulation, modelling semiconductor materials in terms of carrier densities and electric potential, is considered together with an alternative formulation in terms of dimensionless logarithmic quantities. ...
  • On polynomials associated to Voronoi diagrams of point sets and crossing numbers 

    Claverol Aguas, Mercè; Heras Parrilla, Andrea de las; Flores Peñaloza, David; Huemer, Clemens; Orden Martin, David (Chapman & Hall/CRC, 2024-01-01)
    Article
    Open Access
    Three polynomials are defined for given sets S of n points in general position in the plane: The Voronoi polynomial with coefficients the numbers of vertices of the order-k Voronoi diagrams of S, the circle polynomial with ...

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