Random geometry
Fastest paths and self-avoiding walks ask for different geometric limits in random models.
2 problemsSelected problems that share a subject or a research tradition. Each leads to its own overview and sources.
Fastest paths and self-avoiding walks ask for different geometric limits in random models.
2 problemsPast climate shifts, cloud feedbacks, atmospheric mixing and the future of ice sheets.
7 problemsMeasuring molecules, preserving organs and building devices that restore or track bodily function.
12 problemsVibration frequencies, high-frequency wave patterns and reconstruction from frequency information.
3 problemsTheir masses, matter–antimatter behavior and interactions with nuclei.
5 problemsSmooth structures, curved spaces and the manifolds produced by knot surgery.
8 problemsMissing rock, rising oxygen, abrupt warming and a changing Mediterranean: reconstruct Earth’s past from traces it left behind.
6 problems