Adam Kanigowski

activity

20132026

most citedPrime orbits for some smooth flows on

T^{2}

69 citations · 88 across the 13 of their papers we have counts for

collaborators

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29 papers · 1 filter

math.DS2026

Visible Measures along $Ω (n)$ and Distribution of Horocycle Orbits

Adam Kanigowski, Kaitlyn Loyd

Let $Ω (n)$ denote the number of prime factors of $n$ , counted with multiplicities. We study the set $A c c^{Ω} (x)$ of weak- $^{*}$ limits of the sequence $\frac{1}{N}\sum_{n\leq N}δ_{T^{Ω…

math.DS2026

Weak mixing for area preserving flows on surfaces

Adam Kanigowski, Alexey Okunev, Rigoberto Zelada

Let $(ϕ_{t})$ be an area-preserving smooth flow on a compact, connected, orientable surface $M$ with at least one but finitely many fixed points. Assume that $(ϕ_{t})$ is anal…

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.DS2024

Multiple mixing for parabolic systems

Adam Kanigowski, Davide Ravotti

The famous Rokhlin Problem asks whether mixing implies higher order mixing. So far, all the known examples of zero entropy, mixing dynamical systems enjoy a variant of the mixing v…

math.DS2024

Horocycle flow at product of two primes

Giovanni Forni, Adam Kanigowski, Maksym Radziwiłł

We show that if $Γ$ is a co-compact arithmetic lattice in $S L (2, R)$ or $Γ = S L (2, Z)$ then the horocycle orbit of every non-periodic point $x \in S L (2, R) /Γ$ …