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math.DS2026
IC-rigidity for abelian actions
Adam Kanigowski, Kosma Kasprzak, Miriam Lorenzo-Laguno
Let be a group acting continuously on a compact metric space . This naturally induces an action of on the space of nonempty compact subsets of . In […
math.DS2026
Visible Measures along and Distribution of Horocycle Orbits
Adam Kanigowski, Kaitlyn Loyd
Let denote the number of prime factors of , counted with multiplicities. We study the set 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 be an area-preserving smooth flow on a compact, connected, orientable surface with at least one but finitely many fixed points. Assume that is anal…