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 2025Show all

3 papers · 1 filter

math.DS2025

Density of orbits of horocycle flows at sub-quadratic polynomial times

Adam Kanigowski, Maksym Radziwiłł

Let $Γ \subset P S L (2, R)$ be such that the space $X = Γ\ P S L (2, R)$ is not compact. Let $(h_{t})$ be the horocycle flow acting on $X$ . We show that for every $x…

math.DS2025

The influence of the maximal summand on ergodic sums of non-integrable observables over rotations

Adam Kanigowski, Tanja I. Schindler

For $R_{α}$ being an irrational rotation of angle $α$ on the one torus $T$ and $ϕ (x) = \frac{1}{x} - \frac{1}{1 - x}$ , we compare the behavior of the Birkhoff sum $S_N(ϕ)=\sum_{k=…

math.DS2025

Singularity of the spectrum of typical minimal smooth area-preserving flows in any genus

Krzysztof Frączek, Adam Kanigowski, Corinna Ulcigrai

We consider smooth flows preserving a smooth invariant measure, or, equivalently, locally Hamiltonian flows on compact orientable surfaces, and show that almost every such locally…