Tag · 2 problems · 1 field

Open problems tagged billiards

2 problems in the Math Lab index touch billiards. Each carries a precise statement, an honest status, and a computational line of attack.

Birkhoff conjecture on integrable billiardsDynamics & Analysisuntouched

If the billiard dynamics inside a smooth convex curve is integrable (foliated by caustics), the curve must be an ellipse.

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.