## Why do we care about simplicity of the spectrum in Oseledets’ theorem?

Oseledets’ theorem is a fundamental result in Ergodic theory (see for example here, or Chapter 4 of Lectures on Lyapunov Exponents by Marcelo Viana). The simplicity of the spectrum has been studied by Guivarc’h and Raugi ’86, Gol’dsheid and Margulis ’89, Bonatti-Viana ’04, Avila-Viana ’07 and very recently by Mauricio Poletti. My* questions are: What … Read more