Recent Submissions

  • A Poincaré lemma in geometric quantisation 

    Miranda Galcerán, Eva; Solha, Romero (2013)
    External research report
    Open Access
    This paper presents a Poincaré lemma for the Kostant comple x, used to compute geometric quantisation, when the polarisat ion is given by a Lagrangian foliation defined by an integrable system wit h non-degenerate singularities.
  • Convexity for Hamiltonian torus actions on b-symplectic manifolds 

    Guillemin, Victor; Miranda Galcerán, Eva; Pires, Ana Rita; Scott, Geoffrey (2014-12)
    External research report
    Open Access
    In [GMPS] we proved that the moment map image of a b-symplectic toric manifold is a convex b-polytope. In this paper we obtain convexity results for the more general case of non-toric hamiltonian torus actions on b-symplectic ...
  • Exponentially small splitting of separatrices associated to 3D whiskered tori with cubic frequencies 

    Delshams Valdés, Amadeu; Gonchenko, Marina; Gutiérrez Serrés, Pere (2019-06)
    External research report
    Open Access
    We study the splitting of invariant manifolds of whiskered (hyperbolic) tori with three frequencies in a nearly-integrable Hamiltonian system, whose hyperbolic part is given by a pendulum. We consider a 3-dimensional ...
  • Metric dimension of maximal outerplanar graphs 

    Claverol Aguas, Mercè; Hernando Martín, María del Carmen; Maureso Sánchez, Montserrat; Mora Giné, Mercè; Hernández Peñalver, Gregorio; Garcia Olaverri, Alfredo Martin; Tejel, Javier (2019-03-28)
    External research report
    Open Access
  • Trees whose even-degree vertices induce a path are antimagic 

    Lozano Bojados, Antoni; Mora Giné, Mercè; Seara Ojea, Carlos; Tey Carrera, Joaquín (2019-05-16)
    External research report
    Open Access
    An antimagic labeling of a connected graph G is a bijection from the set of edges E(G) to {1, 2, . . . , |E(G)|} such that all vertex sums are pairwise distinct, where the vertex sum at vertex v is the sum of the labels ...
  • Desingularizing b^m-symplectic structures 

    Miranda Galcerán, Eva (2015-12)
    External research report
    Open Access
    A 2n-dimensional Poisson manifold (M,¿) is said to be bm-symplectic if it is symplectic on the complement of a hypersurface Z and has a simple Darboux canonical form at points of Z which we will describe below. In this ...
  • 7demates: memòria: curs 2017-18 

    Alsina Aubach, Montserrat (2018-07)
    External research report
    Open Access
  • Report: Temps de... STEM 

    Alsina Aubach, Montserrat (2018-05-22)
    External research report
    Open Access
    La ciència en acció és, ara més que mai, STEM, de manera que "Temps de ...STEM" és una fórmula d'actualitat: integra ciència i cultura, establint ponts entre públic de totes edats i professorat de tots nivells, des d'infantil ...
  • Cotangent models for integrable systems on $b$-symplectic manifolds 

    Miranda Galcerán, Eva; Kiesenhofer, Anna (2016-01)
    External research report
    Open Access
  • Equivariant classification of bm-symplectic surfaces and Nambu structures 

    Miranda Galcerán, Eva; Planas, Arnau (2016)
    External research report
    Open Access
    In this paper we extend the classification scheme in [S] for bm-symplectic surfaces, and more generally, bm-Nambu structures to the equivariant setting. When the compact group is the group of deck-transformations of an ...
  • Stability index of linear random dynamical system 

    Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor (2019-04-11)
    External research report
    Open Access
    Given a homogeneous linear discrete or continuous dynamical system, its stability index is given by the dimension of the stable manifold of the zero solution. In particular, for the n dimensional case, the zero solution ...
  • The neighbor-locating-chromatic number of pseudotrees 

    Hernando Martín, María del Carmen; Mora Giné, Mercè; Pelayo Melero, Ignacio Manuel; Gonzalez, Marisa; Alcón, Liliana (2019-03-28)
    External research report
    Open Access
    Ak-coloringof a graphGis a partition of the vertices ofGintokindependent sets,which are calledcolors. Ak-coloring isneighbor-locatingif any two vertices belongingto the same color can be distinguished from each other by ...

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