4 citations · 10 across the 9 of their papers we have counts for
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math.DS2015★ 4 cited
Continuity of the Oseledets Decomposition
Pedro Duarte, Silvius Klein
We consider an abstract space of measurable linear cocycles and we assume the availability in this space of some appropriate uniform large deviation type estimates. Under these hyp…
math.DS2015
Large deviation type estimates for random cocycles
Silvius Klein, Pedro Duarte
In this paper we prove the continuity of all Lyapunov exponents, as well as the continuity of the Oseledets decomposition, for a class of irreducible cocycles over strongly mixing…
math.DS2015★ 1 cited
The Avalanche Principle and other estimates on Grassmann manifolds
Silvius Klein, Pedro Duarte
The main result of this paper, called the Avalanche Principle (AP), relates the expansion of a long product of matrices with the product of expansions of the individual matrices. T…