123 citations · 216 across the 9 of their papers we have counts for
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math.DS2008★ 5 cited
On the Closing Lemma problem for vector fields of bounded type on the torus
Simon Lloyd
We investigate the open Closing Lemma problem for vector fields on the 2-dimensional torus. Under the assumption of bounded type rotation number, the Closing Lemma is verifie…
math.DS2008★ 73 cited
Coherent structures and isolated spectrum for Perron-Frobenius cocycles
Gary Froyland, Simon Lloyd, Anthony Quas
We present an analysis of one-dimensional models of dynamical systems that possess 'coherent structures'; global structures that disperse more slowly than local trajectory separati…
math.DS2008★ 3 cited
Affine interval exchange transformations with flips and wandering intervals
C. Gutierrez, S. Lloyd, B. Pires
There exist uniquely ergodic affine interval exchange transformations of [0,1] with flips having wandering intervals and such that the support of the invariant measure is a Cantor…