Abstract Fix a positive integer N ? 2. For real number x ? [0, 1] and digit i {0, 1,..., ? 1}, let ? ( x, n ) denote the frequency of among first nN -adic digits . It is well-known that for typical (in sense Baire) 1], sequence frequencies diverges as ??. In this paper we show any regular linear transformation T there exists residual set points [0,1] such -averaged version (? )) also significan...

Normal-ordering provides an approach to approximate three-body forces as effective two-body operators and it is therefore important tool in many-body calculations with realistic nuclear interactions. The corresponding neglect of certain terms the normal-ordered Hamiltonian known influence translational invariance, although magnitude this effect has not yet been systematically quantified. In wor...