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math.DS2017★ 16 cited
Notes on the Multiplicative Ergodic Theorem
Simion Filip
The Oseledets Multiplicative Ergodic theorem is a basic result with numerous applications throughout dynamical systems. These notes provide an introduction to this theorem, as well…
math.DS2017
The algebraic hull of the Kontsevich-Zorich cocycle
Alex Eskin, Simion Filip, Alex Wright
We compute the algebraic hull of the Kontsevich-Zorich cocycle over any GL^+_2(R) invariant subvariety of the Hodge bundle, and derive from this finiteness results on such subvarie…