Correzioni asintotiche per il teorema del limite centrale generalizzato.

Vengono presentate correzioni agli sviluppi asintotici di Edgeworth per densità di somme di variabili aleatorie stabili. Queste stime sono successivamente implementate in Matlab, con particolare attenzioni agli approssimanti in forma razionale di Padè. Nell'Appendice viene poi fornita la distribuzione di zeri degli approssimanti di Padè per la funzione esponenziale.

Caratterizzazione ed isolamento di intermedi delle reazioni di sostituzione elettrofila e nucleofila in serie aromatica

1,3,5–Tris(N,N-dialkylamino)benzene derivatives are strongly activated neutral carbon nucleophiles able to stress some reactivity aspects toward more or less activated electrophilic substrates. These very interesting electron-rich benzenes have been firstly synthesized in 1967 and extensively studied. Their supernucleophilic character permits to perform reactions in particularly mild conditions, and make them suitable for mechanistic investigations. In many reactions they permit to isolate –complexes in electrophilic aromatic reactions. The possibility to form moderately stable Wheland intermediates depends both, on the activation of the reagents and on the experimental conditions which makes slow the proton elimination in the re-aromatization process. In presence of a carbon super electrophile reagent as 4,6-dinitrobenzofuroxan or 4,6-dinitrotetrazolepiridine, 1,3,5–tris(N,N-dialkylamino)benzene derivatives afford C–C coupling products which are “double σ complexes”, Wheland–like on the 1,3,5-tris(N,N-dialkylamino)benzene moiety, and Meisenheimer–like on the electrophile moiety. We named these complexes as Wheland–Meisenheimer (W-M) complexes. These complexes are moderately stable at low temperature and they were characterized by NMR spectroscopy methods. Others nucleophile reagents as 2-aminothiazole derivatives give a Wheland-Meisenheimer complex with 4,6-dinitrobenzofuroxan.