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Among the impressive contributions of Andrej N. Kolmogorov's to mathematicsin the 20th century, his 1954 invariant tori theorem is still little understoodfrom a historical point of view [Dumas 2014]. Vladimir I. Arnold, who enteredMoscow State University that same year and would became a student ofKolmogorov, 30 years after asked him about the origin of a research program towhich Arnold himself gave a big contribution. In this paper we compare and putin historical and biographical context two different account's by Arnold onthis conversation.

Thirty years after: insights on the cultural origins of Kolmogorov's 1954 theorem from a short conversation with Arnold