Enviaments recents

  • Convexity of the moment map image for torus actions on b(m)-symplectic manifolds 

    Miranda Galcerán, Eva; Guillemin, Victor; Weitsman, Jonathan (Royal Society, 2018-10-28)
    Article
    Accés obert
    We prove a convexity theorem for the image of the moment map of a Hamiltonian torus action on a bm-symplectic manifold. This article is part of the theme issue ‘Finite dimensional integrable systems: new trends and methods
  • Singular fibres of the Gelfand-Cetlin system on u(n) 

    Bouloc, Damien; Miranda Galcerán, Eva; Tien Zung, Nguyen (Royal Society, 2018-10-28)
    Article
    Accés obert
    In this paper, we show that every singular fibre of the Gelfand–Cetlin system on co-adjoint orbits of unitary groups is a smooth isotropic submanifold which is diffeomorphic to a two-stage quotient of a compact Lie group ...
  • A new spectral method for latent variable models 

    Ruffini, Matteo; Casanellas Rius, Marta; Gavaldà Mestre, Ricard (2018-05-22)
    Article
    Accés restringit per política de l'editorial
    We present an algorithm for the unsupervised learning of latent variable models based on the method of moments. We give efficient estimates of the moments for two models that are well known, e.g., in text mining, the ...
  • El modelo evolutivo de Kimura, un enlace entre el álgebra, la biología i la estadística 

    Casanellas Rius, Marta (Real Sociedad Matemática Española, 2018-06-01)
    Article
    Accés restringit per política de l'editorial
    El álgebra y la estadística han estado presentes en biología evo- lutiva desde sus inicios. En este artículo mostramos una pequeña parte de la interrelación entre el álgebra, la estadística y la biología evolutiva centrándonos ...
  • Tapas of algebraic statistics 

    Casanellas Rius, Marta (2018-09-01)
    Article
    Accés obert
  • Open problems, questions, and challenges in finite-dimensional integrable systems 

    Miranda Galcerán, Eva; Bolsinov, Alexey; Matveev, Vladimir; Tabachnikov, Sergei (Royal Society, 2018-05-14)
    Article
    Accés obert
    The paper surveys open problems and questions related to different aspects of integrable systems with finitely many degrees of freedom. Many of the open problems were suggested by the participants of the conference ...
  • Equivariant classification of bm-symplectic surfaces 

    Miranda Galcerán, Eva; Planas Bahí, Arnau (Springer, 2018-07-24)
    Article
    Accés obert
    Inspired by Arnold’s classification of local Poisson structures [1] in the plane using the hierarchy of singularities of smooth functions, we consider the problem of global classification of Poisson structures on surfaces. ...
  • Zeroth poisson homology, foliated cohomology and perfect poisson manifolds 

    Miranda Galcerán, Eva; Martinez Torres, David (Springer, 2018)
    Article
    Accés obert
    We prove that for regular Poisson manifolds, the zeroth homology group is isomorphic to the top foliated cohomology group and we give some applications. In particular, we show that for regular unimodular Poisson manifolds ...
  • Maryam Mirzakhani, una llum que mai no s’apagarà 

    Miranda Galcerán, Eva; Muñoz Lecanda, Miguel Carlos (Societat Catalana de Matemàtiques (SCM), 2017-12-31)
    Article
    Accés obert
  • On geometric quantization of b-symplectic manifolds 

    Miranda Galcerán, Eva; Guillemin, Victor; Weitsman, Jonathan (2018-05-20)
    Article
    Accés obert
    We study a notion of pre-quantization for b-symplectic manifolds. We use it to construct a formal geometric quantization of b-symplectic manifolds equipped with Hamiltonian torus actions with nonzero modular weight. We ...
  • Integrable systems and closed one forms 

    Miranda Galcerán, Eva; Cardona, Robert (2018-05-15)
    Article
    Accés obert
    In the first part of this paper we revisit a classical topological theorem by Tischler (1970) and deduce a topological result about compact manifolds admitting a set of independent closed forms proving that the manifold ...
  • An invitation to singular symplectic geometry 

    Miranda Galcerán, Eva; Delshams Valdés, Amadeu; Dempsey Bradell, Roisin Mary; Oms, Cedric; Planas Bahí, Arnau (2017)
    Article
    Accés obert
    In this paper we analyze in detail a collection of motivating examples to consider bm-symplectic forms and folded-type symplectic structures. In particular, we provide models in Celestial Mechanics for every bm-symplectic ...

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