69 citations · 158 across the 38 of their papers we have counts for
7 papers · 1 filter
Slow entropy for some smooth flows on surfaces
Adam Kanigowski
We study slow entropy in some classes of smooth mixing flows on surfaces. The flows we study can be represented as special flows over irrational rotations and under roof functions…
On the non-equivalence of the Bernoulli and K properties in dimension four
Adam Kanigowski, Federico Rodriguez-Hertz, Kurt Vinhage
We study skew products where the base is a hyperbolic automorphism of , the fiber is a smooth area preserving flow on with one fixed point (of high deg…
On isomorphism problem for von Neumann flows with one discontinuity
Adam Kanigowski, Anton V. Solomko
A von Neumann flow is a special flow over an irrational rotation of the circle and under a piecewise roof function with a non-zero sum of jumps. We prove that the absolute va…
Lebesgue spectrum of countable multiplicity for conservative flows on the torus
Bassam Fayad, Giovanni Forni, Adam Kanigowski
We study the spectral measures of conservative mixing flows on the 2-torus having one degenerate singularity. We show that, for a sufficiently strong singularity, the spectrum of t…
On rank of von Neumann special flows
Adam Kanigowski, Anton V. Solomko
We prove that special flows over an ergodic rotation of the circle under a roof function with one discontinuity do not have local rank one. In particular, any such flow has i…
Flows with Ratner's property have discrete essential centralizer
Adam Kanigowski, Mariusz Lemańczyk
We show that a free, ergodic action of with (finite) Ratner's property has countable discrete essential centralizer. Moreover we show that such flows are mildly mixing…
Multiple mixing and parabolic divergence in smooth area-preserving flows on higher genus surfaces
Adam Kanigowski, Joanna Kułaga-Przymus, Corinna Ulcigrai
We consider typical area preserving flows on higher genus surfaces and prove that the flow restricted to mixing minimal components is mixing of all orders, thus answering affimativ…