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pro vyhledávání: '"Figueras, Jordi"'
We consider the projected normal distribution, with isotropic variance, on the 2-sphere using intrinsic statistics. We show that in this case, the expectation commutes with the projection and that the covariance of the normal variable has a 1-1 corre
Externí odkaz:
http://arxiv.org/abs/2410.22384
Autor:
Figueras, Jordi-Lluís, Puig, Joaquim
We present some computer assisted methods to prove the existence of spectral gaps for the Almost Mathieu operator at critical coupling and give rigorous numerical estimates on their size. As an example we show that the first 8 gaps predicted by the G
Externí odkaz:
http://arxiv.org/abs/2410.18536
Autor:
Dahne, Joel, Figueras, Jordi-Lluís
We prove the existence of radial self-similar singular solutions for the mass supercritical Nonlinear Schr\"odinger Equation far from the critical regime and, more generally, branches of such solutions for the Complex Ginzburg-Landau Equation. We are
Externí odkaz:
http://arxiv.org/abs/2410.05480
We present an algorithm for the construction of lower dimensional elliptic tori in parametric Hamiltonian systems by means of the parametrization method with the tangent and normal frequencies being prescribed. This requires that the Hamiltonian syst
Externí odkaz:
http://arxiv.org/abs/2405.06432
Autor:
Figueras, Jordi-Lluís, Haro, Alex
In this paper, we present evidence of the stability of a simplified model of the Solar System, a flat (Newtonian) Sun-Jupiter-Saturn system with realistic data: masses of the Sun and the planets, their semi-axes, eccentricities and (apsidal) precessi
Externí odkaz:
http://arxiv.org/abs/2403.10152
Autor:
Figueras, Jordi-Lluís, Haro, Alex
In this paper we present an a-posteriori KAM theorem for the existence of an $(n-d)$-parameters family of $d$-dimensional isotropic invariant tori with Diophantine frequency vector $\omega\in \mathbb R^d$, of type $(\gamma,\tau)$, for $n$ degrees of
Externí odkaz:
http://arxiv.org/abs/2304.10205
The aim of this paper is to present a new, analytical, method for computing the exact number of relative equilibria in the planar, circular, restricted 4-body problem of celestial mechanics. The new approach allows for a very efficient computer-aided
Externí odkaz:
http://arxiv.org/abs/2204.08812
Autor:
Figueras, Jordi-Lluís a, ⁎, Haro, Alex b, c
Publikováno v:
In Physica D: Nonlinear Phenomena June 2024 462
Autor:
van Loggerenberg, Warren 1, 2, 3, 4, 17, Sowlati-Hashjin, Shahin 5, 17, Weile, Jochen 1, 2, 3, 4, Hamilton, Rayna 6, Chawla, Aditya 1, 2, 3, Sheykhkarimli, Dayag 1, 2, 3, Gebbia, Marinella 1, 2, 3, Kishore, Nishka 1, 2, 3, Frésard, Laure 7, Mustajoki, Sami 8, Pischik, Elena 8, Di Pierro, Elena 9, Barbaro, Michela 10, Floderus, Ylva 10, Schmitt, Caroline 11, 12, Gouya, Laurent 11, 12, Colavin, Alexandre 7, Nussbaum, Robert 7, Friesema, Edith C.H. 13, Kauppinen, Raili 8, To-Figueras, Jordi 14, Aarsand, Aasne K. 15, Desnick, Robert J. 16, 18, Garton, Michael 5, 18, ∗∗, Roth, Frederick P. 1, 2, 3, 4, 18, ∗
Publikováno v:
In The American Journal of Human Genetics 5 October 2023 110(10):1769-1786