The α -decay properties of 186Bi

The α decay of ¹⁸⁶Bi was investigated via the ⁹⁷Mo(⁹²Mo, p2n) reaction and the use of a fragment mass analyzer with a double-sided Si strip detector. In contrast to an earlier work wherein only one α transition was reported, we observed two transitions arising from two isomers in ¹⁸⁶Bi with energies and half-lives of: 7158(20) keV, T_1/2 = 15.0(17) ms; and 7261(20) keV, T_1/2 = 9.8(13) ms.     

Functional central limit theorems for approximate Martingale arrays in a locally compact Abelian group

This paper uses a Martingale-like approach and establishes, among other things, the existence of continuous Gaussian processes with independent increments on those locally compact Abelian groups whose duals support corresponding continuous nonnegative quadratic forms.     

Additivity,subadditivity and linearity: Automatic continuity and quantifier weakening

We study the interplay between additivity (as in the Cauchy functional equation), subadditivity and linearity. We obtain automatic continuity results in which additive or subadditive functions, under minimal regularity conditions, are continuous and so linear. We apply our results in the context of quantifier weakening in the theory of regular variation, completing our programme of reducing the number of hard proofs there to zero.