BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20250813T081834EDT-6380CDcvGV@132.216.98.100 DTSTAMP:20250813T121834Z DESCRIPTION:Title: Reconstructing Random Pictures.\n\nAbstract: Reconstruct ion problems ask whether or not it is possible to uniquely build a discret e structure from the collection of its substructures of a fixed size. This question has been explored in a wide range of settings\, most famously wi th graphs and the resulting Graph Reconstruction Conjecture due to Kelly a nd Ulam\, but also including geometric sets\, jigsaws\, abelian groups. In this talk\, we'll consider the reconstruction of random pictures (n-by-n grids with binary entries) from the collection of its k-by-k subgrids and prove a nearly-sharp threshold for k = k(n). Our main proof technique is a n adaptation of the Peierls contour method from statistical physics.\n\nJo int work with Bhargav Narayanan.\n DTSTART:20230202T163000Z DTEND:20230202T173000Z LOCATION:Room 1214\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue Sherbrooke Ouest SUMMARY:Corrine Yap (Rutgers) URL:/mathstat/channels/event/corrine-yap-rutgers-34571 6 END:VEVENT END:VCALENDAR