78 citations · 288 across the 45 of their papers we have counts for
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math.DS2025
Partially hyperbolic diffeormorphisms, ergodicity, and transverse foliations in dimension 3
S. R. Fenley, R. Potrie
We give a complete topological classification of (chain-)transitive partially hyperbolic diffeomorphisms in 3-manifolds in terms of Anosov flows, completing a program proposed by P…
math.DS2025
Invariant sets for homeomorphisms of hyperbolic 3-manifolds
Elena Gomes, Santiago Martinchich, Rafael Potrie
We prove that under some assumptions on how points escape to infinity in the universal cover, homeomorphisms of hyperbolic 3-manifolds are forced to have several invariant sets (in…
math.DS2025
Horizontality of partially hyperbolic foliations
Andy Hammerlindl, Rafael Potrie
We show exactly which Seifert manifolds support partially hyperbolic dynamical systems. In particular, a circle bundle over a higher-genus surface supports a partially hyperbolic s…