69 citations · 158 across the 38 of their papers we have counts for
5 papers · 1 filter
Bernoulli property for certain skew products over hyperbolic systems
Changguang Dong, Adam Kanigowski
We study the Bernoulli property for a class of partially hyperbolic systems arising from skew products. More precisely, we consider a hyperbolic map , where is a Gibbs…
Singularity of the spectrum for smooth area-preserving flows in genus two and translation surfaces well approximated by cylinders
Jon Chaika, Krzysztof Frączek, Adam Kanigowski +1
We consider smooth flows preserving a smooth invariant measure, or, equivalently, locally Hamiltonian flows on compact orientable surfaces and show that, when the genus of the surf…
Polynomial 3-mixing for smooth time-changes of horocycle flows
Adam Kanigowski, Davide Ravotti
Let be the horocycle flow acting on , where is a co-compact lattice in and $μ…
Rigidity in dynamics and Möbius disjointness
Adam Kanigowski, Mariusz Lemańczyk, Maksym Radziwiłł
Let be a topological dynamical system. We show that if each invariant measure of gives rise to a measure-theoretic dynamical system that is either: a. rigid along…
Spectral disjointness of rescalings of some surface flows
Przemysław Berk, Adam Kanigowski
We study self-similarity problem for two classes of flows: (1) special flows over circle rotations and under roof functions with symmetric logarithmic singularities (2) special flo…