idUS - Author profile: Villa Caro, Rafael

Auth your photo

Name	Villa Caro, Rafael
Department	Análisis Matemático
Knowledge area	Análisis Matemático
Professional category	Profesor Titular de Universidad
E-mail	Request

No. publications

10
No. visits

1234
No. downloads

2044

Typology

Sort

Publications
Final Degree Project Tomografía geométrica Díaz Gil, Víctor; Villa Caro, Rafael (2023)
Article John's ellipsoid and the integral ratio of a log-concave function Alonso Gutiérrez, David; González Merino, Bernardo; Jiménez Gómez, Carlos Hugo; Villa Caro, Rafael (Springer, 2018) We extend the notion of John’s ellipsoid to the setting of integrable log-concave functions. This will allow us to define ...
Article Rogers-Shephard inequality for log-concave functions Alonso Gutiérrez, David; González Merino, Bernardo; JIménez Gömez, Carlos Hugo; Villa Caro, Rafael (Elsevier, 2016) In this paper we prove different functional inequalities extending the classical Rogers-Shephard inequalities for convex ...
Article Maximal equilateral sets Swanepoel, Konrad J.; Villa Caro, Rafael (Springer, 2013) A subset of a normed space X is called equilateral if the distance between any two points is the same. Let m(X) be the ...
Article Brunn-Minkowski and Zhang inequalities for convolution bodies Alonso Gutiérrez, David; Jiménez Gómez, Carlos Hugo; Villa Caro, Rafael (Elsevier, 2013) A quantitative version of Minkowski sum, extending the definition of θ-convolution of convex bodies, is studied to obtain ...
Article An application of mixture distributions in modelization of length of hospital stay Atienza Martínez, María Nieves; García Heras, Joaquín; Muñoz Pichardo, Juan Manuel; Villa Caro, Rafael (Wiley, 2008) Length of hospital stay (LOS) is an important indicator of the hospital activity and management of health care. The skewness ...
Article A lower bound for the equilateral number of normed spaces Swanepoel, Konrad J.; Villa Caro, Rafael (American Mathematical Society, 2008) We show that if the Banach-Mazur distance between an n-dimensional normed space X and ℓ n∞ is at most 3/2, then there exist ...
Article On the consistency of MLE in finite mixture models of exponential families Atienza Martínez, María Nieves; García Heras, Joaquín; Muñoz Pichardo, Juan Manuel; Villa Caro, Rafael (Elsevier, 2007) Finite mixtures of densities from an exponential family are frequently used in the statistical analysis of data. Modelling ...
Article Concentration of the distance in finite dimensional normed spaces Arias de Reyna Martínez, Juan; Ball, Keith; Villa Caro, Rafael (University College London, Faculty of Mathematical and Physical Sciences, Department of Mathematics, 1998) We prove that in every finite dimensional normed space, for “most” pairs (x, y) of points in the unit ball, ∥x − y∥ is ...
PhD Thesis Propiedades de concentración en espacios de dimensión finita Inmersiones isométricas en espacios de funciones continuas Villa Caro, Rafael; Arias de Reyna Martínez, Juan (1998) Esta memoria está dedicada al estudio de dos problemas del Análisis Funcional: El estudio de propiedades de concentración ...