Tag · 2 problems · 2 fields

Open problems tagged simulation

2 problems in the Math Lab index touch simulation, spanning Graph Theory, Dynamics & Analysis. Each carries a precise statement, an honest status, and a computational line of attack.

Lonely runner conjectureGraph Theoryuntouched

k runners with pairwise distinct constant speeds circle a unit track from a common start. The conjecture: each runner is, at some moment, at circular distance at least 1/k from every other runner.

Outer billiards unboundednessDynamics & Analysisuntouched

For which convex shapes does the outer (dual) billiard map admit unbounded orbits? Moser asked whether orbits can escape to infinity at all.