9 citations · 40 across the 12 of their papers we have counts for
13 papers
Directional measure rigidity for time-changed first row unipotent actions
Davide Ravotti, Daren Wei
We study flows on finite volume homogeneous manifolds arising as directional restrictions of time changes of higher rank abelian unipotent actions. We establish Ratner-type rigidit…
Time change rigidity for unipotent flows
Elon Lindenstrauss, Daren Wei
We prove a dichotomy regarding the behavior of one-parameter unipotent flows on quotients of semisimple lie groups under time change. We show that if acting on $\mathbf…
Time change for unipotent flows and rigidity
Elon Lindenstrauss, Daren Wei
We prove a dichotomy regarding the behavior of one-parameter unipotent flows on quotients of semisimple lie groups under time change. We show that if acting on $G_{1}/Γ…
Slow entropy for some Anosov-Katok diffeomorphisms
Shilpak Banerjee, Philipp Kunde, Daren Wei
The Anosov-Katok method is one of the most powerful tools of constructing smooth volume-preserving diffeomorphisms of entropy zero with prescribed ergodic or topological properties…
Slow entropy of some combinatorial constructions
Shilpak Banerjee, Philipp Kunde, Daren Wei
Measure-theoretic slow entropy is a more refined invariant than the classical measure-theoretic entropy to characterize the complexity of dynamical systems with subexponential grow…
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…
Survey on entropy-type invariants of sub-exponential growth in dynamical systems
Adam Kanigowski, Anatole Katok, Daren Wei
Measure-theoretic and topological entropy are classical invariants in the theory of dynamical systems. There are several recently developed entropy type invariants for systems of s…
Kakutani equivalence for products of some special flows over rotations
Daren Wei
We study Kakutani equivalence for products of some special flows over rotations with roof function smooth except a singularity at . We estimate the Kakutani invaria…
Rigidity of joinings for some measure preserving systems
Changguang Dong, Adam Kanigowski, Daren Wei
We introduce two properties: strong R-property and -property, describing a special way of divergence of nearby trajectories for an abstract measure preserving system. We show…
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…
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…
Slow Entropy of Some Parabolic Flows
Adam Kanigowski, Kurt Vinhage, Daren Wei
We study nontrivial entropy invariants in the class of parabolic flows on homogeneous spaces, quasi-unipotent flows. We show that topological complexity (ie, slow entropy) can be c…
Product of two Kochergin flows with different exponents is not standard
Adam Kanigowski, Daren Wei
We study the standard(zero entropy loosely Bernoulli or loosely Kronecker) property for products of Kochergin smooth flows on with one singularity. These flows can b…