63 citations · 215 across the 20 of their papers we have counts for
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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.CV2017★ 8 cited
Smooth and Rough Positive Currents
Simion Filip, Valentino Tosatti
We study the different notions of semipositivity for (1,1) cohomology classes on K3 surfaces. We first show that every big and nef class (and every nef and rational class) is semia…
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…