1,055 research outputs found

    Probabilistic View of Explosion in an Inelastic Kac Model

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    Let {μ(,t):t0}\{\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

    Italy

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    Il divieto di analogia a sfavore del reo: il ruolo di un principio costituzionale che costituisce un unicum

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    Lo scritto riguarda il divieto di analogia a sfavore del reo, la differenza fra l'analogia e l'interpretazione estensiva e la posizione della Corte costituzionale in merito allo stesso diviet

    Brevi osservazioni sugli aspetti più problematici del delicato bilanciamento fra universalismo selettivo, diritti fondamentali e vincoli di bilancio: alla ricerca dell’universalismo selettivo temperato

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    L'articolo propone l'universalismo selettivo temperato come soluzione da adottarsi allo scopo di procedere ad un equilibrato e corretto bilanciamento tra diritti fondamentali e vincoli di bilanci
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