5 papers
Khinchin families, set constructions, partitions and exponentials
Alicia Cantón, José L. Fernández, Pablo Fernández +1
In this paper, we give a simple criterion to verify that functions of the form are in the Hayman class when is a power series with nonnegative coefficients. Thus, using t…
Some arithmetic properties of Pólya's urn
José L. Fernández, Pablo Fernández
Following Hales (2018), the evolution of Pólya's urn may be interpreted as a walk, a Pólya walk, on the integer lattice . We study the visibility properties of Pólya'…
Hausdorff Measures, Dyadic Approximations and Dobiński Set
Alberto Dayan, José L. Fernández, María J. González
Dobiński set is an exceptional set for a certain infinite product identity, whose points are characterized as having exceedingly good approximations by dyadic rationa…
Transient Propagation and Scattering of Quasi-Rayleigh Waves in Plates: Quantitative comparison between Pulsed TV-Holography Measurements and FC(Gram) elastodynamic simulations
Faisal Amlani, Oscar P. Bruno, José Carlos López-Vázquez +4
We study the scattering of transient, high-frequency, narrow-band quasi-Rayleigh elastic waves by through-thickness holes in aluminum plates, in the framework of ultrasonic nondest…
Asymptotic Stability of Empirical Processes and Related Functionals
José L. Fernández, Enrico Ferri, Carlos Vázquez
Let be a space of observables in a sequence of trials and define to be the empirical distributions of the outcomes. We discuss the almost sure convergence of the se…