Gottwald, Georg A.; Nicol, Matthew - In: Physica A: Statistical Mechanics and its Applications 303 (2002) 3, pp. 387-396
leading digits k of {N(j)} have the following probability distribution, known as Benford's Law, P(k)=log10((k+1)/k). We … need to come from a chaotic or independent random process for Benford's Law to hold. The multiplicative driving force may … first digits of an affine process displays Benford's Law. Our proofs use techniques from ergodic theory. …