8 citations · 11 across the 3 of their papers we have counts for
7 papers
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…
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…