Now showing items 1-12 of 345

  • p-adic families of d-th Shintani liftings 

    Casazza, Daniele; Vera Piquero, Carlos de (2019-12-11)
    External research report
    Open Access
    In this note we give a detailed construction of a Lambda-adic d-th Shintani lifting. We derive a p-adic version of Kohnen's formula relating Fourier coefficients of half-integral weight modular forms and special values of ...
  • Automorphic SL2-periods and the subconvexity problem for GL2xGL3 

    Pal, Aprameyo; Vera Piquero, Carlos de (2020-01-09)
    External research report
    Open Access
    We prove a new (conditional) result towards the subconvexity problem for certain automorphic L-functions for GL2xGL3. This follows from the computation of new SL2-period integrals associated with newforms f and g of even ...
  • El batec invisible. La bellesa i l’ànima de les matemàtiques 

    Mañosa Fernández, Víctor (2020-01-15)
    External research report
    Open Access
    Ens aproximem a l’experiència estètica matemàtica des d’un punt de vista proper al de la psicologia analítica. Analitzem el mite segons el qual l’univers és un ens harmònic que pot ser descrit mitjançant les matemàtiques, ...
  • The invisible heartbeat. The beauty and soul of mathematics 

    Mañosa Fernández, Víctor (2020-01-15)
    External research report
    Open Access
    We will look at mathematical aesthetic experience from a point of view close to the one of analytical psychology. We will analyse the myth that the universe is a harmonic entity that can be described through mathematics, ...
  • A dynamic Parrondo's paradox for continuous seasonal systems 

    Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor (2019-11-27)
    External research report
    Open Access
    We show that planar continuous alternating systems, which can be used to model systems with seasonality, can exhibit a type of Parrondo's dynamic paradox, in which the stability of an equilibrium, common to all seasons is ...
  • Phase portraits of random planar homogeneous vector fields 

    Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor (2019-11-26)
    External research report
    Open Access
    We study the phase portraits with positive probability of random planar homogeneous vector fields of degree n. In particular, for n=1,2,3, we give a complete solution of the problem and, moreover, either we give the exact ...
  • 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 ...