Adam Kanigowski

activity

20132022

most citedPrime orbits for some smooth flows on

T^{2}

69 citations · 88 across the 11 of their papers we have counts for

collaborators

23 papers

math.DS2022

Smooth zero entropy flows satisfying the classical central limit theorem

Dmitry Dolgopyat, Bassam Fayad, Adam Kanigowski

We construct conservative analytic flows of zero metric entropy which satisfy the classical central limit theorem.

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…

math.DS2020

Flexibility of statistical properties for smooth systems satisfying the central limit theorem

Dmitry Dolgopyat, Changguang Dong, Adam Kanigowski +1

In this paper we exhibit new classes of smooth systems which satisfy the Central Limit Theorem (CLT) and have (at least) one of the following properties: (1) zero entropy; (2) weak…

math.DS2020★ 69 cited

Prime orbits for some smooth flows on $T^{2}$