Articles de revista
Enviaments recents
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Convexity of the moment map image for torus actions on b(m)-symplectic manifolds
(Royal Society, 2018-10-28)
Article
Accés obertWe 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)
(Royal Society, 2018-10-28)
Article
Accés obertIn 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
(2018-05-22)
Article
Accés restringit per política de l'editorialWe 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
(Real Sociedad Matemática Española, 2018-06-01)
Article
Accés restringit per política de l'editorialEl 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
(2018-09-01)
Article
Accés obert -
Open problems, questions, and challenges in finite-dimensional integrable systems
(Royal Society, 2018-05-14)
Article
Accés obertThe 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
(Springer, 2018-07-24)
Article
Accés obertInspired 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
(Springer, 2018)
Article
Accés obertWe 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
(Societat Catalana de Matemàtiques (SCM), 2017-12-31)
Article
Accés obert -
On geometric quantization of b-symplectic manifolds
(2018-05-20)
Article
Accés obertWe 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
(2018-05-15)
Article
Accés obertIn 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
(2017)
Article
Accés obertIn 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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