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math.PR2018
The asymptotics of purely atomic one-dimensional Levy approximations
Arno Berger, Chuang Xu
For arbitrary Borel probability measures on the real line, necessary and sufficient conditions are presented that characterize best purely atomic approximations relative to the cla…
math.DS2018
On the classification of finite-dimensional linear flows
Arno Berger, Anthony Wynne
New elementary, self-contained proofs are presented for the topological and the smooth classification theorems of linear flows on finite-dimensional normed spaces. The arguments, a…
math.PR2018
Best finite approximations of Benford's Law
Arno Berger, Chuang Xu
For arbitrary Borel probability measures with compact support on the real line, characterizations are established of the best finitely supported approximations, relative to three f…