Reports de recerca
Recent Submissions
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Universality of Euler flows and flexibility of Reeb embeddings
(2019-11-05)
External research report
Open AccessThe dynamics of an inviscid and incompressible fluid flow on a Riemannian manifold is governed by the Euler equations. Recently, Tao launched a programme to address the global existence problem for the Euler and Navier ... -
Modelització de la temperatura en un mina subterrània
(2019-11-20)
External research report
Restricted access - confidentiality agreement -
Circular design handbook : a learning guide for design professionals
(2019-10)
External research report
Open AccessThis report was created as part of the project: Learning for Innovative Design for Sustainability-Innovation-L4IDS. The Erasmus + Key Action program funded the project: Cooperation for innovation and the exchange of goods ... -
p-adic families of d-th Shintani liftings
(2019-12-11)
External research report
Open AccessIn 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
(2020-01-09)
External research report
Open AccessWe 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
(2020-01-15)
External research report
Open AccessEns 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
(2020-01-15)
External research report
Open AccessWe 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
(2019-11-27)
External research report
Open AccessWe 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
(2019-11-26)
External research report
Open AccessWe 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
(2013)
External research report
Open AccessThis 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
(2014-12)
External research report
Open AccessIn [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
(2019-06)
External research report
Open AccessWe 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 ...
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