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Generic strongly transitive sequences in weakly mixing Polish systems

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

Palomar Registrypalomar/PALOMAR-2026-10-29-000001Oct 29, 2026math.DSscore 0

For a continuous weakly mixing self-map of a nonempty Polish space, a comeagre set of countable sequences has every finite prefix dense under the corresponding diagonal forward orbit. A nonempty dense G-delta subset of such sequences is constructed through countable-product transitivity and a countable-basis Baire argument.

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