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Chaotic scattering of He atoms off a Cu surface with corrugated Morse potential
(2024-01-12)
Research report
Open AccessWe consider a Hamiltonian system that models the scattering of helium atoms off a copper surface. The interaction between the He and the Cu atoms is described by a corrugated Morse potential. Using corrugation coefficients ... -
Parabolic saddles and newhouse domains in celestial mechanics
(2024-11-05)
Research report
Open AccessIn the 70s McGehee introduced a compactification of the phase space of the restricted 3-body problem by gluing a manifold of periodic orbits "at infinity". Although from the dynamical point of view these periodic orbits ... -
RT-WMIS algorithm design and data delivery format
(2022-12-10)
Research report
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RT-WMIS implementation and proof of concept
(2023-11-20)
Research report
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RT-WMIS deployment and user manuals
(2023-11-20)
Research report
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Analysis of the suitability of using low cost receivers for the RT-WMIS
(2023-11-16)
Research report
Restricted access - confidentiality agreementThe Real Time Worldwide Monitoring of Ionospheric Scintillation (RT-WMIS) activity has two main objectives: • The proof of concept and subsequent demonstration of the feasibility of a real-time worldwide monitoring of ... -
On Darboux theorems for geometric structures induced by closed forms
(2023-06-14)
Research report
Open AccessThis work reviews the classical Darboux theorem for symplectic, presymplectic, and cosymplectic manifolds (which are used to describe regular and singular mechanical systems), and certain cases of multisymplectic manifolds, ... -
Asymptotic analysis of near-field coupling in massive MISO and massive SIMO systems
(2024-06-07)
Research report
Open AccessThis paper studies the receiver to transmitter antenna coupling in near-field communications with massive arrays. Although most works in the literature consider that it is negligible and approximate it by zero, there is ... -
Heights of complete intersections in toric varieties
(2024)
Research report
Open AccessThe height of a toric variety and that of its hypersurfaces can be expressed in convex-analytic terms as an adelic sum of mixed integrals of their roof functions and duals of their Ronkin functions. Here we extend these ... -
Limit heights and special values of the Riemann zeta function
(2023)
Research report
Open AccessWe study the distribution of the height of the intersection between the projective line defined by the linear polynomial x0+x1+x2 and its translate by a torsion point. We show that for a strict sequence of torsion points, ... -
The two-boost problem and Lagrangian Rabinowitz Floer homology
(2024-12-11)
Research report
Open AccessThe two-boost problem in space mission design asks whether two points of phase space can be connected with the help of two boosts of given energy. We provide a positive answer for a class of systems related to the restricted ... -
E-structures and almost regular Poisson manifolds
(2025-02-24)
Research report
Open AccessIn recent years, b-symplectic manifolds have emerged as important objects in symplectic geometry. These manifolds are Poisson manifolds that exhibit symplectic behavior away from a distinguished hypersurface, where the ...
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