Probabilistic View of Explosion in an Inelastic Kac Model

Let $\{\mu(\cdot,t):t\geq0\}$ be the family of probability measures corresponding to the solution of the inelastic Kac model introduced in Pulvirenti and Toscani [\textit{J. Stat. Phys.} \textbf{114} (2004) 1453-1480]. It has been proved by Gabetta and Regazzini [\textit{J. Statist. Phys.} \textbf{147} (2012) 1007-1019] that the solution converges weakly to equilibrium if and only if a suitable symmetrized form of the initial data belongs to the standard domain of attraction of a specific stable law. In the present paper it is shown that, for initial data which are heavier-tailed than the aforementioned ones, the limiting distribution is improper in the sense that it has probability 1/2 "adherent" to $-\infty$ and probability 1/2 "adherent" to $+\infty$. It is explained in which sense this phenomenon is amenable to a sort of explosion, and the main result consists in an explicit expression of the rate of such an explosion. The presentation of these statements is preceded by a discussion about the necessity of the assumption under which their validity is proved. This gives the chance to make an adjustment to a portion of a proof contained in the above-mentioned paper by Gabetta and Regazzini

Lab-on-Chip for testing myelotoxic effect of drugs and chemicals

In the last 20 years, one of the main goals in the drug discovery field has been the development of reliable in vitro models. In particular, in 2006 the European Centre for the Validation of Alternative Methods has approved the colony-forming unit granulocytes–macrophages test, which is the first and currently unique test applied to evaluate the myelotoxicity of xenobiotics in vitro. The present work aimed at miniaturizing this in vitro assay by developing and validating a Lab-on-Chip platform consisting of a high number of bioreactor chambers with screening capabilities in a high-throughput regime

The Regulation on Matrimonial Property and Its Operation in Succession Cases — Its Interaction with the Succession Regulation and Its Impact on Non-participating Member States

The Regulations on Matrimonial Property (No 2016/1103) and on the Property Consequences of Registered Partnerships (No 2016/1104) are new important pieces in the “puzzle” of European private international law. This article particularly focuses on the relationship between the Matrimonial Property Regulations and the Succession Regulation, two instruments which will often be applied in parallel because of the close connection between the two areas they govern. The author examines in particular the scope of those instruments as well as their interaction with respect to jurisdiction and applicable law. At the same time, an attempt is also made to assess the position of Poland and of those other Member States that are bound by the Succession Regulation, but not by the Matrimonial Property Regulation.The Regulations on Matrimonial Property (No 2016/1103) and on the Property Consequences of Registered Partnerships (No 2016/1104) are new important pieces in the “puzzle” of European private international law. This article particularly focuses on the relationship between the Matrimonial Property Regulations and the Succession Regulation, two instruments which will often be applied in parallel because of the close connection between the two areas they govern. The author examines in particular the scope of those instruments as well as their interaction with respect to jurisdiction and applicable law. At the same time, an attempt is also made to assess the position of Poland and of those other Member States that are bound by the Succession Regulation, but not by the Matrimonial Property Regulation

Precision measurements of Linear Scattering Density using Muon Tomography

We demonstrate that muon tomography can be used to precisely measure the properties of various materials. The materials which have been considered have been extracted from an experimental blast furnace, including carbon (coke) and iron oxides, for which measurements of the linear scattering density relative to the mass density have been performed with an absolute precision of 10%. We report the procedures that are used in order to obtain such precision, and a discussion is presented to address the expected performance of the technique when applied to heavier materials. The results we obtain do not depend on the specific type of material considered and therefore they can be extended to any application.Comment: 16 pages, 4 figure