Listar Departament: Matemàtiques por autoría "534e1874-8378-49c3-8dca-5c16eb2adc9e"
Mostrando ítems 1-20 de 22
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A lower bound for the area of Plateau foams
Gimeno, Vicent; Markvorsen, Steen; Martínez Sotoca, José Springer (2020-04-07)Real foams can be viewed as geometrically well-organized dispersions of more or less spherical bubbles in a liquid. When the foam is so drained that the liquid content significantly decreases, the bubbles become polyhedral-like ... -
A New Geometric Metric in the Shape and Size Space of Curves in R n
Epifanio, Irene; Gimeno, Vicent; Gual-Arnau, Ximo; Ibáñez Gual, Maria Victoria MDPI (2020-10-01)Shape analysis of curves in Rn is an active research topic in computer vision. While shape itself is important in many applications, there is also a need to study shape in conjunction with other features, such as scale and ... -
Archetypal Curves in the Shape and Size Space: Discovering the Salient Features of Curved Big Data by Representative Extremes
Epifanio, Irene; Gimeno, Vicent; Gual-Arnau, Ximo; Ibáñez Gual, Maria Victoria Springer (2023)Curves are complex data. Tools for visualizing, exploring, and discovering the structure of a data set of curves are valuable. In this paper, we propose a scalable methodology to solve this challenge. On the one hand, ... -
Asymptotically Extrinsic Tamed Submanifolds
Bessa, G. Pacelli; Gimeno, Vicent; Palmer Andreu, Vicente Springer Verlag (2017-04)We study, from the extrinsic point of view, the structure at infinity of open submanifolds, ϕ : Mm → Mn(κ) isometrically immersed in the real space forms of constant sectional curvature κ ≤ 0.We shall use the decay of ... -
Conformal type of ends of revolution in space forms of constant sectional curvature
Gimeno, Vicent; Gozalbo, Irmina Springer (2016-03)In this paper, we consider the conformal type (parabolicity or non-parabolicity) of complete ends of revolution immersed in simply connected space forms of constant sectional curvature. We show that any complete end of ... -
Ends, Fundamental Tones, and Capacities of Minimal Submanifolds Via Extrinsic Comparison Theory
Gimeno, Vicent; Markvorsen, Steen Springer Verlag (2014)We study the volume of extrinsic balls and the capacity of extrinsic annuli in minimal submanifolds which are properly immersed with controlled radial sectional curvatures into an ambient manifold with a pole. The key ... -
First eigenvalue of the Laplacian of a geodesic ball and area-based symmetrization of its metric tensor
Gimeno, Vicent; Sarrión-Pedralva, Erik Element (2022)Given a Riemmanian manifold, we provide a new method to compute a sharp upper bound for the first eigenvalue of the Laplacian for the Dirichlet problem on a geodesic ball of radius less than the injectivity radius of the ... -
Generalized partially linear models on Riemannian manifolds
Simó, Amelia; Ibáñez Gual, Maria Victoria; Epifanio, Irene; Gimeno, Vicent Royal Statistical Society (2020-05-03)We introduce generalized partially linear models with covariates on Riemannian manifolds. These models, like ordinary generalized linear models, are a generalization of partially linear models on Riemannian manifolds that ... -
Green functions and the Dirichlet spectrum
Bessa, G. Pacelli; Gimeno, Vicent; Jorge, Luquesio European Mathematical Society (2020)This article has results of four types. We show that the firsteigenvalueλ1(Ω) of the weighted Laplacian of a bounded domain withsmooth boundary can be obtained by S. Sato’s iteration scheme of theGreen ... -
Isoperimetric inequalities for submanifolds. Jellett–Minkowski’s formula revisited
Gimeno, Vicent London Mathematical Society (2014)n this paper, we provide an extension to the Jellett–Minkowski formula for immersed submanifolds within ambient manifolds which possess a pole and radial curvatures bounded from above or below. Using this generalized ... -
Mean curvature of hypersurfaces in Killing submersionswith bounded shadow
Gimeno, Vicent Wiley (2020)Given a complete hypersurface isometrically immersed in an ambient manifold, in this paper we provide a lower bound for the norm of the mean curvature vector field of the immersion assuming that: 1) The ambient manifold ... -
Mean curvature, volume and properness of isometric immersions
Gimeno, Vicent; Palmer Andreu, Vicente American Mathematical Society (2017)We explore the relation among volume, curvature and properness of an m -dimensional isometric immersion in a Riemannian manifold. We show that, when the L p -norm of the mean curvature vector is bounded for ... -
Method to determine which quantum operations can be realized with linear optics with a constructive implementation recipe
García-Escartín, Juan Carlos; Gimeno, Vicent; Moyano-Fernández, Julio José American Physical Society (2019)The evolution of quantum light through linear optical devices can be described by the scattering matrix S of the system. For linear optical systems with m possible modes, the evolution of n input photons is given by a ... -
Multiple photon effective Hamiltonians in linear quantum optical networks
García-Escartín, Juan Carlos; Gimeno, Vicent; Moyano-Fernández, Julio José Elsevier (2019)We give an alternative derivation for the explicit formula of the effective Hamiltonian describing the evolution of the quantum state of any number of photons entering a linear optics multiport. The description is based ... -
On the fundamental tone of minimal submanifolds with controlled extrinsic curvature
Gimeno, Vicent Springer (2013)The aim of this paper is to obtain the fundamental tone for minimal submanifolds of the Euclidean or hyperbolic space under certain restrictions on the extrinsic curvature. We show some sufficient conditions on the norm ... -
On the Fundamental Tone of Minimal Submanifolds with Controlled Extrinsic Curvature
Gimeno, Vicent Springer Verlag (2014)The aim of this paper is to obtain the fundamental tone for minimal submanifolds of the Euclidean or hyperbolic space under certain restrictions on the extrinsic curvature. We show some sufficient conditions on the norm ... -
On the total curvature and extrinsic area growth of surfaces with tamed second fundamental form
Gimeno, Vicent; Brandão, Cristiane M. Elsevier (2016)In this paper we show that a complete and non-compact surface immersed in the Euclidean space with quadratic extrinsic area growth has finite total curvature provided the surface has tamed second fundamental form and admits ... -
Optimal approximation to unitary quantum operators with linear optics
Garcia-Escartin, Juan Carlos; Gimeno, Vicent; Moyano-Fernández, Julio José Springer Nature (2021-09-21)Linear optical systems acting on photon number states produce many interesting evolutions, but cannot give all the allowed quantum operations on the input state. Using Toponogov’s theorem from differential geometry, we ... -
Parabolicity, Brownian Exit Time and Properness of Solitons of the Direct and Inverse Mean Curvature Flow
Gimeno, Vicent; Palmer, Vicente (2019-10-05)We study some potential theoretic properties of homothetic solitons n of the MCF and the IMCF. Using the analysis of the extrinsic distance function defined on these submanifolds in Rn+m, we observe similarities and ... -
QOptCraft: A Python package for the design and study of linear optical quantum systems
Gomez-Aguado, Daniel; Gimeno, Vicent; Moyano-Fernández, Julio José; Garcia-Escartin, Juan Carlos Elsevier (2022-08-29)The manipulation of the quantum states of light in linear optical systems has multiple applications in quantum optics and quantum computation. The package QOptCraft gives a collection of methods to solve some of the most ...