Thermodynamics of Benford's first digit law

@article{Lemons2019ThermodynamicsOB,
  title={Thermodynamics of Benford's first digit law},
  author={Don S. Lemons},
  journal={American Journal of Physics},
  year={2019}
}
  • D. Lemons
  • Published 22 June 2015
  • Physics
  • American Journal of Physics
Iafrate, Miller, and Strauch [Equipartition and a Distribution for Numbers: A Statistical Model for Benford's Law," arXiv:1503.08259] construct and test a statistical model for partitioning a conserved quantity. One consequence of their model is Benford's law. This Comment amplifies their work by exploring its thermodynamic consequences. 
The Newcomb-Benford law: Scale invariance and a simple Markov process based on it
The Newcomb–Benford law, also known as the first-digit law, gives the probability distribution associated with the first digit of a dataset, so that, for example, the first significant digit has a
Correspondence Of Newcomb-Benford Number Law With Ecological Processes
  • R. Davic
  • Environmental Science
    bioRxiv
  • 2022
The Newcomb-Benford number law has been applied in the natural sciences for decades, with little ecological attention. Empirical data reveal statistical correspondence between the discrete Benford