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A promenade through singular symplectic geometry
(2024-12-11)
Article
Open AccessIn this article, we present symplectic and Poisson geometry from the perspective ofHamiltonian mechanics. We then introduce symplectic Lie algebroids, objects whichlie between symplectic and Poisson manifolds. ... -
Oscillatory motions, parabolic orbits and collision orbits in the planar circular restricted three-body problem
(Springer, 2025-04-10)
Article
Restricted access - publisher's policyIn this paper we consider the planar circular restricted three body problem (PCRTBP), which models the motion of a massless body under the attraction of other two bodies, the primaries, which describe circular orbits around ... -
Griesmer type bounds for additive codes over finite fields, integral and fractional MDS codes
(2024-11-03)
Article
Open AccessIn this article we prove Griesmer type bounds for additive codes over finite fields. These new bounds give upper bounds on the length of maximum distance separable (MDS) codes, codes which attain the Singleton bound. We ... -
Stabiliser codes over fields of even order
(2024-09-04)
Article
Open AccessWe prove that the natural isomorphism F2h ~= F h 2 induces a bijection between stabilizer codes on n quqits with local dimension q = 2h and binary stabilizer codes on hn qubits. This allows us to describe these codes ... -
Splitting of separatrices for rapid degenerate perturbations of the classical pendulum
(2024-06-30)
Article
Open AccessIn this work we study the splitting distance of a rapidly perturbed pendulum with a -periodic function and . Systems of this kind undergo exponentially small splitting, and, when , it is known that the Melnikov function ... -
Product-free sets in the free group
(2024-07)
Article
Open AccessWe prove that product-free subsets of the free group over a finite alphabet have maximum upper density mathematical equation with respect to the natural measure that assigns total weight one to each set of irreducible words ... -
The edge labeling of higher order Voronoi diagrams
(2024-05-21)
Article
Restricted access - publisher's policyWe present an edge labeling of order-k Voronoi diagrams, , of point sets S in the plane, and study properties of the regions defined by them. Among them, we show that has a small orientable cycle and path double cover, ... -
Convergence of generalized MIT bag models to Dirac operators with zigzag boundary conditions
(Springer, 2024-08-01)
Article
Open AccessThis work addresses the resolvent convergence of generalized MIT bag operators to Dirac operators with zigzag type boundary conditions. We prove that the convergence holds in strong but not in norm resolvent sense. Moreover, ... -
A comparative analysis of european media coverage of the Israel-Gaza war using hesitant fuzzy linguistic term sets
(Multidisciplinary Digital Publishing Institute (MDPI), 2025-01-12)
Article
Open AccessRepresenting and interpreting human opinions within an unstructured framework is inherently complex. Hesitant fuzzy linguistic term sets offer a comprehensive context that facilitates a nuanced understanding of diverse ... -
On the behaviour of Hodge spectral exponents of plane branches
(2024-12-11)
Article
Open AccessThe Hodge spectral exponents are a discrete set of invariants of an isolated hyper-surface singularity. We study their distribution for the case of plane branches, in terms of numerical invariants of the branch. First, we ... -
A comparison of formulations and non-linear solvers for computational modeling of semiconductor devices
(Springer, 2024-11-23)
Article
Open AccessThe drift-diffusion formulation, modelling semiconductor materials in terms of carrier densities and electric potential, is considered together with an alternative formulation in terms of dimensionless logarithmic quantities. ... -
On polynomials associated to Voronoi diagrams of point sets and crossing numbers
(Chapman & Hall/CRC, 2024-01-01)
Article
Open AccessThree polynomials are defined for given sets S of n points in general position in the plane: The Voronoi polynomial with coefficients the numbers of vertices of the order-k Voronoi diagrams of S, the circle polynomial with ...
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