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Artículo
Quantum social networks
(IOP Science, 2012)
We introduce a physical approach to social networks (SNs) in which each actor is characterized by a yes–no test on a physical system. This allows us to consider SNs beyond those originated by interactions based on ...
Artículo
Layer-averaged approximation of Navier-Stokes system with complex rheologies
(EDP Sciences / Société de Mathématiques Appliquées et Industrielles, 2023)
In this work, we present a family of layer-averaged models for the Navier–Stokes equations. For its derivation, we consider a layerwise linear vertical profile for the horizontal velocity component. As a particular case, ...
Artículo
Continuous mean distance of a weighted graph
(Cornell University, 2021)
We study the concept of the continuous mean distance of a weighted graph. For connected unweighted graphs, the mean distance can be de ned as the arithmetic mean of the distances between all pairs of vertices. This ...
Artículo
Irreducible triangulations of the once-punctured torus
(Sobolev Institute of Mathematics, 2018)
A triangulation of a surface with fixed topological type is called irreducible if no edge can be contracted to a vertex while remaining in the category of simplicial complexes and preserving the topology of the surface. A ...
Artículo
Continuous Well-Composedness Implies Digital Well-Composedness in n-D
(Springer, 2022)
In this paper, we prove that when a n-D cubical set is continuously well-composed (CWC), that is, when the boundary of its continuous analog is a topological (n- 1) -manifold, then it is digitally well-composed (DWC), which ...
Artículo
Non-hydrostatic layer-averaged approximation of Euler system with enhanced dispersion properties
(Springer Nature, 2023)
A new family of non-hydrostatic layer-averaged models for the non-stationary Euler equations is presented in this work, with improved dispersion relations. They are a generalisation of the layer-averaged models introduced ...
Artículo
A posteriori variational multiscale methods for the 1D convection-diffusion equations
(Académie des Sciences, 2023-06-09)
The present work is a continuation of a paper presented by the two first authors in the proceedings of the “Computational Science for the 21st century” conference held in Tours in 1997 honouring the 60th birthday of Roland ...
Artículo
Free Boundary Minimal Annuli Immersed in the Unit Ball
(Springer Link, 2023-11-10)
We construct a family of compact free boundary minimal annuli immersed in the unit ball B3 of R3, the first such examples other than the critical catenoid. This solves a problem formulated by Nitsche in 1985. These annuli ...
Artículo
Rotational elliptic Weingarten surfaces in S2 × R and the Hopf problem
(ScienceDirect, 2023-10-15)
We prove that, up to congruence, there exists only one immersed sphere satisfying a given uniformly elliptic Weingarten equation in S2 × R, and it is a rotational surface. This is obtained by showing that rotational uniformly ...
Artículo
Minimum gradation in greyscales of graphs
(Elsevier, 2023-05)
In this paper we present the notion of greyscale of a graph as a colouring of its vertices that uses colours from the real interval [0,1]. Any greyscale induces another colouring by assigning to each edge the non-negative ...