9 citations · 21 across the 14 of their papers we have counts for
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math.DS2013★ 1 cited
KAM rigidity for partially hyperbolic affine Z^k actions on the torus with a rank one factor
Danijela Damjanovic, Bassam Fayad
We show that ergodic affine abelian discrete actions on the torus, that have a rank-one factor in their linear part, are locally rigid in a KAM sense if and only if the rank one fa…
math.DS2013★ 1 cited
Actions with globally hypoelliptic leafwise Laplacian and rigidity
Danijela Damjanovic
We prove several results concerning smooth actions with the property that their leafwise Laplacian is globally hypoelliptic. Such actions are necessarily uniquely erg…