Chains to the West: Markov's theory of connected events and its transmission to Western Europe

摘要

At the beginning of the twentieth century, the Russian mathematician Audrey A. Markov extended the laws of the calculus of probability to trials that were dependent on each other, purely theoretically. In two articles from 1913, which are presented here in English translation, he applied his theory for the first time to empirical material, namely text. After a presentation of Markov's methods, results, and possible inspirations, the introduction investigates the dissemination of his ideas to Western Europe and North America in detail. The experimental application of his method to various types of text finally determines its scope.