Adam Kanigowski

activity

20132026

most citedPrime orbits for some smooth flows on

T^{2}

69 citations · 158 across the 38 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.DS2021

Counterexamples to a rigidity conjecture

Giovanni Forni, Adam Kanigowski

We discuss several counterexamples to a rigidity conjecture of K. Khanin, which states that under some quantitative condition on non-existence of periodic orbits, $C^{0}$ conjugacy i…

math.DS2021★ 4 cited

Exponential mixing implies Bernoulli

Dmitry Dolgopyat, Adam Kanigowski, Federico Rodriguez-Hertz

Let $f$ be a $C^{1 + α}$ diffeomorphism of a compact manifold $M$ preserving a smooth measure $μ$ . We show that if $f : (M, μ) \to (M, μ)$ is exponentially mixing then it is Bernoulli.

math.DS2021

On arithmetic functions orthogonal to deterministic sequences

Adam Kanigowski, Joanna Kulaga-Przymus, Mariusz Lemańczyk +1

We prove Veech's conjecture on the equivalence of Sarnak's conjecture on Möbius orthogonality with a Kolmogorov type property of Furstenberg systems of the M\''obius function. This…