42 citations · 201 across the 49 of their papers we have counts for
3 papers · 2 filters
The Fried average entropy and slow entropy for actions of higher rank abelian groups
Anatole Katok, Svetlana Katok, Federico Rodriguez Hertz
We consider two numerical entropy--type invariants for actions of $\Zk$, invariant under a choice of generators and well-adapted for smooth actions whose individual elements have p…
Arithmeticity and topology of smooth actions of higher rank abelian groups
Anatole Katok, Federico Rodriguez Hertz
We prove that any smooth action of on an -dimensional manifold that preserves a measure such that all non-identity elements of the suspension have posi…
Invariant Distributions for homogeneous flows
Livio Flaminio, Giovanni Forni, Federico Rodriguez Hertz
We prove that every homogeneous flow on a finite-volume homogeneous manifold has countably many independent invariant distributions unless it is conjugate to a linear flow on a tor…