35 citations · 147 across the 29 of their papers we have counts for
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math.DS2017
On the attractor of piecewise expanding maps of the interval
Gianluigi Del Magno, João Lopes Dias, Pedro Duarte +1
We consider piecewise expanding maps of the interval with finitely many branches of monotonicity and show that they are generically combinatorially stable, i.e., the number of ergo…
math.DS2017
Topological obstructions to dominated splitting for ergodic translations on the higher dimensional torus
Pedro Duarte, Silvius Klein
Consider the space of analytic, quasi-periodic cocycles on the higher dimensional torus. We provide examples of cocycles with nontrivial Lyapunov spectrum, whose homotopy classes d…
math.DS2017
Approximating Lyapunov exponents and stationary measures
Alexandre Baraviera, Pedro Duarte
We give a new proof of E. Le Page's theorem on the Holder continuity of the first Lyapunov exponent in the class of irreducible Bernoulli cocycles. This suggests an algorithm to ap…