35 citations · 60 across the 15 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
Asymptotic periodicity in outer billiards with contraction
José Pedro Gaivão
We show that for almost every where is a convex polygon and , the corresponding outer billiard about with contraction is asymptotically periodic, i.e…
math.DS2017★ 2 cited
Renormalization of Gevrey vector fields with a Brjuno type arithmetical condition
João Lopes Dias, José Pedro Gaivão
We show that in the Gevrey topology, a -torus flow close enough to linear with a unique rotation vector is linearizable as long as satisfies a Brjuno type diophantine co…