BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20250922T021746EDT-1139Tzvabw@132.216.98.100 DTSTAMP:20250922T061746Z DESCRIPTION:Scaling limit for the ant in a high-dimensional labyrinth.\n\nI t is believed that in high dimensions\, a large critical percolation clust er should scale to the so-called integrated super Brownian excursion (ISBE ). Moreover\, it is also believed that a simple random walk in the critica l percolation cluster should scale to the Brownian motion on the ISBE. In this talk I will present a result that gives conditions for a general sequ ence of random subgraphs of Z^d under which the random walk on these graph s scales to the Brownian motion on the ISBE. We will show how to apply thi s general theorem in the case where the graphs are obtained as the trace o f critical branching random walks in Z^d\, d>12. Joint work with Gerard Be n Arous and Alexander Fribergh\n DTSTART:20161019T190000Z DTEND:20161019T200000Z LOCATION:room 1205\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue Sherbrooke Ouest SUMMARY:Manuel Cabezas\, PUC (Santiago\, Chile) URL:/mathstat/channels/event/manuel-cabezas-puc-santia go-chile-263466 END:VEVENT END:VCALENDAR