Author

Adam Kanigowski

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Preprint Sep 2026

IC-rigidity for abelian actions

Let $G$ be a group acting continuously on a compact metric space $X$. This naturally induces an action of $G$ on the space $\mathcal{K}(X)$ of nonempty compact subsets of $X$. In [KS26], Kra and Schmieding define a system $(X,G)$ to be IC-rigid if the union of the supports of the $G$-invariant Borel probability measure...

Adam Kanigowski, Kosma Kasprzak, Miriam Lorenzo-Laguno · 0 citations

Preprint Aug 2026

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

Let $\Omega(n)$ denote the number of prime factors of $n$, counted with multiplicities. We study the set $Acc^\Omega(x)$ of weak-$^*$ limits of the sequence $\frac{1}{N}\sum_{n\leq N}\delta_{T^{\Omega(n)}x}$ in $\sigma$-compact dynamical systems $ (X,T)$, demonstrating that if $x \in X$ is quasi-generic for an ergodic...

Adam Kanigowski, Kaitlyn Loyd · 0 citations