Matemàtiques i Informàtica: Recent submissions
Now showing items 361-380 of 1007
Dynamics of 4 $D$ symplectic maps near a double resonance
We study the dynamics of a family of $4 D$ symplectic mappings near a doubly resonant elliptic fixed point. We derive and discuss algebraic properties of the resonances required for the analysis of a Takens type normal ...
Artificial intelligence to improve polyp detection and screening time in colon capsule endoscopy
Colon Capsule Endoscopy (CCE) is a minimally invasive procedure which is increasingly being used as an alternative to conventional colonoscopy. Videos recorded by the capsule cameras are long and require one or more experts' ...
Localization of nilpotent fibre maps
The theory of Jocalization first introduced in topology by D. Sullivan [6] has been exploited by many topologists, e.g. A.K. Bousfield - D.M. Kan [1], P. Hilton G. Mislin J. Roitberg [2], and works particularly well in the ...
A sequence of polynomials with optimal condition number
We find an explicit sequence of univariate polynomials of arbitrary degree with optimal condition number. This solves a problem posed by Michael Shub and Stephen Smale in 1993.
Introducció d'interiors d'ordre en lògiques abstractes
Let L = (S,C) be an abstract logic ( El]) . Using the methods of 131 we study the abstract logic . Lo = (S,C0) agsociated with 11,=1X C- S :X=C(X), f (XXX } for a given mapping f: S > S . We see that Lo preserves several ...
Generació i difusió de mitjans sintètics en els mitjans de comunicació audiovisuals públics
Fer una proposta de directrius clares per a l'ús responsable d'imatges, vídeo i àudio sintètics a un mitjà de comunicació audiovisual públic, assegurant la transparència, l'ètica i la protecció dels drets dels individus. ...
Homogeneous numerical semigroups
We introduce the concept of homogeneous numerical semigroups and show that all homogeneous numerical semigroups with Cohen-Macaulay tangent cones are of homogeneous type. In embedding dimension three, we classify all ...
Perazzo 3-folds and the weak Lefschetz property
We deal with Perazzo 3 -folds in $\mathbb{P}^4$, i.e. hypersurfaces $X=$ $V(f) \subset \mathbb{P}^4$ of degree $d$ defined by a homogeneous polynomial $f\left(x_0, x_1, x_2, u, v\right)=p_0(u, v) x_0+p_1(u, v) x_1+p_2(u, ...
Higher rank prioritary bundles on ruled surfaces and their global sections
Let $X$ be a ruled surface over a nonsingular curve $C$ of genus $g \geq 0$. The main goal of this paper is to construct simple prioritary vector bundles of any rank $r$ on $X$ and to give effective bounds for the dimension ...
Differentiable invariant manifolds of nilpotent parabolic points
We consider a map $F$ of class $C^{r}$ with a fixed point of parabolic type whose differential is not diagonalizable, and we study the existence and regularity of the invariant manifolds associated with the fixed point ...
A parameterization method for the computation of invariant tori and their whiskers in quasi-periodic maps: explorations and mechanisms for the breakdown of hyperbolicity
In two previous papers [J. Differential Equations, 228 (2006), pp. 530 579; Discrete Contin. Dyn. Syst. Ser. B, 6 (2006), pp. 1261 1300] we have developed fast algorithms for the computations of invariant tori in quasi‐periodic ...
Stochastic delay equations with non-negativity constraints driven by fractional Brownian motion
In this note we prove an existence and uniqueness result for the solution of multidimensional stochastic delay differential equations with normal reflection. The equations are driven by a fractional Brownian motion with ...
Anisotropic Gaussian random fields: criteria for hitting probabilities and applications
We develop criteria for hitting probabilities of anisotropic Gaussian random fields with associated canonical pseudo-metric given by a class of gauge functions. This yields lower and upper bounds in terms of general notions ...
Effectiveness of a home-based telerehabilitation system in patients after total hip arthroplasty: study protocol of a randomized controlled trial
Background: The demand for total hip arthroplasty (THA) is quickly rising given the escalating global incidence of hip osteoarthritis, and it is widely accepted that the post-surgery rehabilitation is key to optimize ...
Enabling cross-continent provider fairness in educational recommender systems
With the widespread diffusion of Massive Online Open Courses (MOOCs), educational recommender systems have become central tools to support students in their learning process. While most of the literature has focused on ...
Beurling type density theorems for weighted Lp spaces of entire functions
Set $\Delta=\partial^{2} / \partial_{z} \partial_{\bar{z}}$ and let $\varphi$ be a subharmonic function satisfying $0<m \leq \Delta \varphi(z) \leq M$ for all $z \in \mathbb{C},$ where $m$ and $M$ are positive constants. ...
Strict density inequalities for sampling and interpolation in weighted spaces of holomorphic functions
Answering a question of Lindholm, we prove strict density inequalities for sampling and interpolation in Fock spaces of entire functions in several complex variables defined by a plurisubharmonic weight. In particular, ...
Sherali-Adams Relaxations and Indistinguishability in Counting Logics
Two graphs with adjacency matrices $\mathbf{A}$ and $\mathbf{B}$ are isomorphic if there exists a permutation matrix $\mathbf{P}$ for which the identity $\mathbf{P}^{\mathrm{T}} \mathbf{A} \mathbf{P} = \mathbf{B}$ holds. ...
Generic vanishing index and the birationality of the bicanonical map of irregular varieties
We prove that any smooth complex projective variety with generic vanishingindex bigger or equal than 2 has birational bicanonical map. Therefore, if $X$ is a smoothcomplex projective variety $\varphi$ with maximal Albanese ...
A structural heart-brain axis mediates the association between cardiovascular risk and cognitive function
Elevated vascular disease risk associates with poorer cognitive function, but the mechanism for this link is poorly understood. A leading theory, the structural-functional model argues that vascular risk may drive adverse ...
