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19962026
most citedTriangulated categories of mixed motives

273 citations

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Showing 2024 · math.DSShow all

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math.DS2024

Non-transitive pseudo-Anosov flows

Thomas Barthelmé, Christian Bonatti, Kathryn Mann

We study (topological) pseudo-Anosov flows from the perspective of the associated group actions on their orbit spaces and boundary at infinity. We extend the definition of Anosov-l…

math.DS2024

Heterodimensional cycles of hyperbolic ergodic measures

Christian Bonatti, Lorenzo J. Diaz, Katrin Gelfert

We introduce the concept of a heterodimensional cycle of hyperbolic ergodic measures and a special type of them that we call rich. Within a partially hyperbolic context, we prove t…

math.DS2024

On dense orbits in the space of subequivalence relations

François Le Maître

We first explain how to endow the space of subequivalence relations of any non-singular countable equivalence relation with a Polish topology, extending the framework of Kechris' r…