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Errata to ‘A proof of Pesin's formula’

In the paper ‘A proof of Pesin's formula’ (R. Mañé, Ergod. Th. & Dynam. Sys. (1981), 1, 95–102) there are some minor but misleading mistakes. The following corrections are necessary: (1) On page 99, inequality (11) states: It should read: The first inequality is obviously false in general. The second one is an immediate corollary of Oseledec's theorem. This misprint is of no consequence because in the rest of the paper we always used the correct inequality.