{"id":"palomar/PALOMAR-2026-10-29-000042","url":"https://github.com/Arthur742Ramos/Math-Formalization/tree/2beccde9cbc4d96e4248662417d1490a2140eb9f/topology/ip-transitive-points","json":"https://data.palomar-registry.org/entries/PALOMAR-2026-10-29-000042-v1.json","repo":"https://github.com/Arthur742Ramos/Math-Formalization","tags":["math.DS","math.GN","msc:37B05","msc:37B20"],"score":0,"title":"Generic IP-transitive points in weakly mixing systems","trust":"high","domain":"math.DS","source":"palomar","authors":["Arthur Freitas Ramos","David Barros Hulak","Ruy Jose Guerra Barretto de Queiroz"],"reviews":0,"subject":"math.DS","summary":"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.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"verified":true,"discussed":0,"published":"2026-10-29","reactions":{},"formalized":true,"formalizes":[{"title":"Transitive points via Furstenberg family","identifier":"arXiv:1103.3412v2","relationship":"formalizes"}]}