Open Research Index

Generic IP-transitive points in weakly mixing systems

Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz

Palomar Registrypalomar/PALOMAR-2026-10-29-000042Oct 29, 2026math.DSscore 0

For a continuous map of a second-countable Baire Hausdorff space with topologically transitive square, a residual set of points has IP entering times into every nonempty open set. A nonempty space has a nonempty dense G-delta family of such points; square hitting times are infinite.

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