Asymptotic results for a generalized Pòlya urn with delay and an applications to clinical trials

In this paper a new Pòlya urn model is introduced and studied; in particular, a strong law of large numbers and two central limit theorems are proven. This urn generalizes a model studied in Berti et al. (2004), May et al. (2005) and in Crimaldi (2007) and it has natural applications in clinical trials. Indeed, the model include both delayed and missing (or null) responses. Moreover, a connection with the conditional identity in distribution of Berti et al. (2004) is given.

Temperature estimation and slip-line force analytical models for the estimation of the radial forming force in the RARR process of flat rings

open2noIn this study, a mathematical model for the prediction of the temperature evolution in the ring during the radial-axial ring rolling process is developed and used, together with the authors’ previous results, to determine analytically the flow stress of the material during process. These results, combined with Hill's slip-line field solution adapted to the RARR process, allow a fast and reasonably precise calculation of the radial forming force, a key parameter at the preliminary stage of the process design. The approach is validated by applying the proposed model to a case available in the literature and comparing the analytical results with those of the laboratory experiment and FEM simulation. Following the successful comparison, the models were applied to a large variety of flat rings, comparing analytical predictions with the results of FEM simulations. The accuracy of the analytical calculation and the reliability of the proposed models, for different ring configuration and process parameters, are presented and discussed.embargoed_20190501Quagliato, Luca; Berti, GuidoQuagliato, Luca; Berti, Guid

Leucine-rich repeat kinase 2 positively regulates inflammation and down-regulates NF-κB p50 signaling in cultured microglia cells

7openopenRusso, Isabella; Berti, Giulia; Plotegher, Nicoletta; Bernardo, Greta; Filograna, Roberta; Bubacco, Luigi; Greggio, Elisa*Russo, Isabella; Berti, Giulia; Plotegher, Nicoletta; Bernardo, Greta; Filograna, Roberta; Bubacco, Luigi; Greggio, Elis

Berti Qur’anic Amulets

The Berti live in the Province of North Darfur in the Sudan. They are sedentary people whose main livelihood is based on rain cultivation and animal husbandry (for more details on the Berti see Holy 1974). For several centuries the Berti have spoken their own dialect of the Arabic language. They are Muslim, following the Maliki school of Islamic Law. Among the Berti, Islam is disseminated and taught by their religious men, locally referred to fugara, a term translated as jurisconsults, clergymen, Sufi mendicants or religious officiants (see Trimingham 1949:140, 1968:61 and 130; Yusuf 1976:116; among others). As professionals, Berti religious men render a variety of services to their clients. They teach the Qur’an, preside over rituals, and treat the sick. In this article I shall restrict myself to the provision of ‘amulets’ which are believed to help their owners to achieve certain objectives

Realistic Exact Solution for the Exterior Field of a Rotating Neutron Star

A new six-parametric, axisymmetric and asymptotically flat exact solution of Einstein-Maxwell field equations having reflection symmetry is presented. It has arbitrary physical parameters of mass, angular momentum, mass--quadrupole moment, current octupole moment, electric charge and magnetic dipole, so it can represent the exterior field of a rotating, deformed, magnetized and charged object; some properties of the closed-form analytic solution such as its multipolar structure, electromagnetic fields and singularities are also presented. In the vacuum case, this analytic solution is matched to some numerical interior solutions representing neutron stars, calculated by Berti & Stergioulas (Mon. Not. Roy. Astron. Soc. 350, 1416 (2004)), imposing that the multipole moments be the same. As an independent test of accuracy of the solution to describe exterior fields of neutron stars, we present an extensive comparison of the radii of innermost stable circular orbits (ISCOs) obtained from Berti & Stergioulas numerical solutions, Kerr solution (Phys. Rev. Lett. 11, 237 (1963)), Hartle & Thorne solution (Ap. J. 153, 807, (1968)), an analytic series expansion derived by Shibata & Sasaki (Phys. Rev. D. 58 104011 (1998)) and, our exact solution. We found that radii of ISCOs from our solution fits better than others with realistic numerical interior solutions.Comment: 13 pages, 13 figures, LaTeX documen

Quasi-periodic solutions of completely resonant forced wave equations

We prove existence of quasi-periodic solutions with two frequencies of completely resonant, periodically forced nonlinear wave equations with periodic spatial boundary conditions. We consider both the cases the forcing frequency is: (Case A) a rational number and (Case B) an irrational number.Comment: 25 pages, 1 figur

UM Astrophysicist Joins Editorial Board of Physical Review Letters

APS fellow Emanuele Berti rises from featured writer to divisional associate edito

Ln(3) and Black Hole Entropy

We review an idea that uses details of the quasinormal mode spectrum of a black hole to obtain the Bekenstein-Hawking entropy of $A/4$ in Loop Quantum Gravity. We further comment on a recent proposal concerning the quasinormal mode spectrum of rotating black holes. We conclude by remarking on a recent proposal to include supersymmetry.Comment: Contribution to the Proceedings of the 3rd International Symposium on Quantum Theory and Symmetries, Cincinnati, September 2003, added references to the numerical investigations of Kerr quasinormal modes by Berti et. a