9 citations · 10 across the 7 of their papers we have counts for
7 papers
A non-mixing Arnold flow on a surface
Bassam Fayad, Adam Kanigowski, Rigoberto Zelada
We construct a smooth area preserving flow on a genus 2 surface with exactly one open uniquely ergodic component, that is asymmetrically bounded by separatrices of non-degenerate s…
Limit theorems for low dimensional generalized transformations
Dmitry Dolgopyat, Changguang Dong, Adam Kanigowski +1
We consider generalized transformations such that the base map satisfies a multiple mixing local limit theorem and anticoncentration large deviation bounds and in the…
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…
Multiple mixing for a class of conservative surface flows
Bassam Fayad, Adam Kanigowski
Arnol'd and Kochergin mixing conservative flows on surfaces stand as the main and almost only natural class of mixing transformations for which higher order mixing has not been est…