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- W1620730094 abstract "Let $G$ be a semisimple Lie group acting on a space $X$, let $mu$ be a compactly supported measure on $G$, and let $A$ be a strongly irreducible linear cocycle over the action of $G$. We then have a random walk on $X$, and let $T$ be the associated shift map. We show that the cocycle $A$ over the action of $T$ is conjugate to a block conformal cocycle. This statement is used in the recent paper by Eskin-Mirzakhani on the classifications of invariant measures for the SL(2,R) action on moduli space. The ingredients of the proof are essentially contained in the papers of Guivarch and Raugi and also Goldsheid and Margulis." @default.
- W1620730094 created "2016-06-24" @default.
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- W1620730094 date "2013-08-31" @default.
- W1620730094 modified "2023-09-25" @default.
- W1620730094 title "Semisimplicity of the Lyapunov spectrum for irreducible cocycles" @default.
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