most citedSlow entropy of higher rank abelian unipotent actions

2 citations · 2 across the 1 of their papers we have counts for

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5 papers

math.DS2020★ 2 cited

Slow entropy of higher rank abelian unipotent actions

Adam Kanigowski, Philipp Kunde, Kurt Vinhage +1

We study slow entropy invariants for abelian unipotent actions on any finite volume homogeneous space . For every such action we show that the topological slow entropy can…

math.DS2020

Entropy rigidity for 3D conservative Anosov flows and dispersing billiards

Jacopo De Simoi, Martin Leguil, Kurt Vinhage +1

Given an integer , and a Anosov flow on some compact connected -manifold preserving a smooth volume, we show that the measure of maximal entropy (MME) is the…

math.DS2018

Horocycle flow on negative variable curvature surface is standard

Adam Kanigowski, Kurt Vinhage, Daren Wei

We provide a new proof that the horocycle flow preserving the Margulis measure on a variable negative curvature surface is standard. This was first proved by Ratner. The main purpo…

math.DS2018

Kakutani Equivalence of Unipotent Flows

Adam Kanigowski, Kurt Vinhage, Daren Wei

We study Kakutani equivalence in the class of unipotent flows acting on finite volume quotients of semisimple Lie groups. For every such flow we compute the Kakutani invariant of M…

math.DS2018

Entropy rigidity and flexibility for suspension flows over Anosov diffeomorphisms

Cameron Bishop, David Hughes, Kurt Vinhage +1

For any , area-preserving Anosov diffeomorphism of a surface, we show that a suspension flow over is -conjugate to a constant-time suspension flow of a…