54 citations · 123 across the 13 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★ 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…