69 citations · 158 across the 38 of their papers we have counts for
6 papers · 1 filter
Product of two staircase rank one transformations that is not loosely Bernoulli
Adam Kanigowski, Thierry De La Rue
We construct two staircase rank one transformations whose Cartesian product is not loosely Bernoulli.
Bernoulli property for homogeneous systems
Adam Kanigowski
Let be a semisimple Lie group with Haar measure and let be an irreducible lattice in . For , we consider left translation acting on .…
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…
Rigidity of a class of smooth singular flows on
Changguang Dong, Adam Kanigowski
We study joining rigidity in the class of von Neumann flows with one singularity. They are given by a smooth vector field on , where $\mat…
On disjointness properties of some parabolic flows
Adam Kanigowski, Mariusz Lemańczyk, Corinna Ulcigrai
The Ratner property, a quantitative form of divergence of nearby trajectories, is a central feature in the study of parabolic homogeneous flows. Discovered by Marina Ratner and use…
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…