Doctorat en Matemàtica Aplicada

Recent Submissions

  • Geometric quantization via cotangent models 

    Mir Garcia, Pau; Miranda Galcerán, Eva (2021-09)
    Article
    Open Access
    In 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 ...

  • On the enumeration of bipartite simple games 

    Freixas Bosch, Josep; Samaniego Vidal, Daniel (2021-07-15)
    Article
    Restricted access - publisher's policy
    This paper provides a classification of all monotonic bipartite simple games. The problem we deal with is very versatile since simple games are inequivalent monotonic Boolean functions, functions that are used in many ...

  • Subdivided linear and curved meshes preserving features of a linear mesh model 

    Jiménez Ramos, Albert; Gargallo Peiró, Abel; Roca Navarro, Francisco Javier (Sandia National Laboratories, 2019)
    Conference report
    Open Access
    To provide straight-edged and curved piece-wise polynomial meshes that target a unique smooth geometry while preserving the sharp features and smooth regions of the model, we propose a new fast curving method based on ...

  • Global phase-amplitude description of oscillatory dynamics via the parameterization method 

    Pérez Cervera, Alberto; Martínez-Seara Alonso, M. Teresa; Huguet Casades, Gemma (Institute of Physics (IOP), 2020-08-01)
    Article
    Open Access
    In this paper, we use the parameterization method to provide a complete description of the dynamics of an n-dimensional oscillator beyond the classical phase reduction. The parameterization method allows us, via efficient ...

  • Analytical and numerical results on families of n-ejection-collision orbits in the RTBP 

    Ollé Torner, Mercè; Rodríguez del Río, Óscar; Soler Villanueva, Jaume (2020-11-01)
    Article
    Restricted access - publisher's policy
    In the planar RTBP with mass ratio µ we regularise the singularity at one of the primaries by means of Levi-Civita’s transformation in a rotating frame. We solve the variational equations in a neighbourhood of the ...

  • Identifying codes in line digraphs 

    Balbuena Martínez, Maria Camino Teófila; Dalfó Simó, Cristina; Martínez Barona, Berenice (Elsevier, 2020-10-15)
    Article
    Restricted access - publisher's policy
    Given an integer ` = 1, a (1, = `)-identifying code in a digraph is a dominating subset C of vertices such that all distinct subsets of vertices of cardinality at most ` have distinct closed in-neighbourhood within C. In ...

  • Optimal regularity of stable solutions to nonlinear equations involving the p-Laplacian 

    Cabré Vilagut, Xavier; Miraglio, Pietro; Sanchón Rodellar, Manuel (2020-01-01)
    Article
    Restricted access - publisher's policy
    We consider the equation-¿pu=f(u)in a smooth bounded domain ofRn, where¿pis thep-Laplaceoperator. Explicit examples of unbounded stable energy solutions are known ifn=p+4pp-1. Instead, whenn<p+4pp-1, stable solutions have ...

  • A contact geometry framework for field theories with dissipation 

    Gaset Rifà, Jordi; Gràcia Sabaté, Francesc Xavier; Muñoz Lecanda, Miguel Carlos; Rivas Guijarro, Xavier; Román Roy, Narciso (2020-03-01)
    Article
    Open Access
    We 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 ...

  • Structure and enumeration of K4-minor-free links and link-diagrams 

    Rué Perna, Juan José; Thilikos Touloupas, Dimitrios; Velona, Vasiliki (2020-10-01)
    Article
    Open Access
    We study the class of link-types that admit a -minor-free diagram, i.e., they can be projected on the plane so that the resulting graph does not contain any subdivision of . We prove that is the closure of a subclass of ...

  • Unified Lagrangian-Hamiltonian formalism for contact systems 

    De León, Manuel; Gaset Rifà, Jordi; Lainz Valcázar, Manuel; Rivas Guijarro, Xavier; Román Roy, Narciso (2020-06-23)
    Article
    Open Access
    We 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. ...

  • Sidon set systems 

    Cilleruelo, Javier; Serra Albó, Oriol; Wötzel, Maximilian (2020-02-11)
    Article
    Open Access
    A family A of k-subsets of {1,2,…,N} is a Sidon system if the sumsets A+B, A,B¿A are pairwise distinct. We show that the largest cardinality Fk(N) of a Sidon system of k-subsets of [N] satisfies Fk(N)=(N-1k-1)+N-k and the ...

  • A b-symplectic slice theorem 

    Dempsey Bradell, Roisin Mary; Kiesenhofer, Anna; Miranda Galcerán, Eva (2020-09)
    External research report
    Open Access
    In this article, motivated by the study of symplectic structures on manifolds with bound-ary and the systematic study ofb-symplectic manifolds started in [10], we prove a slice theorem forLie group actions onb-symplectic manifolds

View more