63 citations · 215 across the 20 of their papers we have counts for
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math.DS2014
Families of K3 surfaces and Lyapunov exponents
Simion Filip
Consider a family of K3 surfaces over a hyperbolic curve (i.e. Riemann surface). Their second cohomology groups form a local system, and we show that its top Lyapunov exponent is a…
math.DS2014★ 31 cited
Zero Lyapunov exponents and monodromy of the Kontsevich-Zorich cocycle
Simion Filip
We describe all the situations in which the Kontsevich-Zorich cocycle has zero Lyapunov exponents. Confirming a conjecture of Forni, Matheus, and Zorich, this only occurs when the…
math.DS2014★ 7 cited
On Hoelder-continuity of Oseledets subspaces
Vitor Araujo, Alexander I. Bufetov, Simion Filip
For Hoelder cocycles over a Lipschitz base transformation, possibly non-invertible, we show that the subbundles given by the Oseledets Theorem are Hoelder-continuous on compact set…