The LIL for UU-statistics in Hilbert spaces

We give necessary and sufficient conditions for the (bounded) law of the iterated logarithm for $U$-statistics in Hilbert spaces. As a tool we also develop moment and tail estimates for canonical Hilbert-space valued $U$-statistics of arbitrary order, which are of independent interest

High-performance functional renormalization group calculations for interacting fermions

We derive a novel computational scheme for functional Renormalization Group (fRG) calculations for interacting fermions on 2D lattices. The scheme is based on the exchange parametrization fRG for the two-fermion interaction, with additional insertions of truncated partitions of unity. These insertions decouple the fermionic propagators from the exchange propagators and lead to a separation of the underlying equations. We demonstrate that this separation is numerically advantageous and may pave the way for refined, large-scale computational investigations even in the case of complex multiband systems. Furthermore, on the basis of speedup data gained from our implementation, it is shown that this new variant facilitates efficient calculations on a large number of multi-core CPUs. We apply the scheme to the $t$,$t'$ Hubbard model on a square lattice to analyze the convergence of the results with the bond length of the truncation of the partition of unity. In most parameter areas, a fast convergence can be observed. Finally, we compare to previous results in order to relate our approach to other fRG studies.Comment: 26 pages, 9 figure

Preliminary report on the first production of the crab stages of alimasag, Portunus pelagicus (Linnaeus)

An experiment was undertaken studying the early life history of Portunus pelagicus in order to obtain information of relevance to rearing techniques for crabs

Exponential and moment inequalities for U-statistics

A Bernstein-type exponential inequality for (generalized) canonical U-statistics of order 2 is obtained and the Rosenthal and Hoffmann-J{\o}rgensen inequalities for sums of independent random variables are extended to (generalized) U-statistics of any order whose kernels are either nonnegative or canonicalComment: 22 page

Modelo de identificación y caracterización de tramos de carreteras sin accidentes (tramos blancos). Aplicación a la red de autopistas de peaje españolas

The traditional approach to infrastructural safety follows the consideration of mitigation tools, such as the identification and management of black spots or road sections with high accident concentration, or preventing tools, as road safety audits and inspections. A complement to these tools is presented in this paper, from a new perspective: the consideration of road sections where, under similar conditions and similar risk exposure, there are no accidents (white road sections). A model has been calibrated to the Spanish toll motorways network, identifying the specific geometric parameters and traffic characteristics which have the highest influence in the occurrence of white sections with sufficient length, without accidents during a significant period of time: heavy vehicles traffic volume, with of the road section and speed.El planteamiento tradicional de análisis de la accidentalidad en carretera pasa por la consideración de herramientas paliativas, como son la identificación y gestión de los puntos negros o tramos de concentración de accidentes, o preventivas, como las auditorías o inspecciones de seguridad vial. En este artículo se presenta un complemento a estas herramientas, desde una perspectiva novedosa: la consideración de los tramos donde, bajo unas condiciones similares a las de otros tramos y una similar exposición al riesgo, no se producen accidentes (tramos blancos). Se resume el modelo que se ha calibrado para las autopistas de peaje españolas, identificando los parámetros específicos de la geometría de la vía y del tráfico que más influencia tienen en el hecho de que en algunos tramos de suficiente longitud, no se produzcan accidentes durante un periodo significativo de tiempo: el tráfico de pesados, al ancho de calzada y la velocidad de circulación

What's wrong with this rebuttal?

A recent rebuttal to criticism of Bell's analysis is shown to be defective by fault of failure to consider all hypothetical conditions input into the derivation of Bell Inequalitites.Comment: 2 page