First digit law from Laplace transform

  title={First digit law from Laplace transform},
  author={Mingshu Cong and Congqiao Li and Bo-Qiang Ma},
Abstract The occurrence of digits 1 through 9 as the leftmost nonzero digit of numbers from real-world sources is distributed unevenly according to an empirical law, known as Benford's law or the first digit law. It remains obscure why a variety of data sets generated from quite different dynamics obey this particular law. We perform a study of Benford's law from the application of the Laplace transform, and find that the logarithmic Laplace spectrum of the digital indicator function can be… CONTINUE READING