Dynamical systems and Benford's law.
Abstract. Benford's law (BL) is the empirical observation that in many numerical data the leading significant digits are not uniformly distributed but instead follow a particular logarithmic distribution. BL has been studied in Number theory and Probability theory. We will discuss when orbits of dynamical systems satisfy Benford's law. In particular, our approach allowed to recover all the results on BL in Number theory (and obtain various new examples) as well as explain why BL appears so often in real experimental data.