clopen.solutions

Open problems

980 registered problems.

OP-00290 Open
Ivrii's measure-zero conjecture for billiards
DS · AIM Open Applied Problems · billiards · periodic orbits · Weyl's law
OP-00363 Open
Infinitely many obstacle resonances in a fixed strip under trapping
AP · AIM Open Applied Problems · billiards · obstacle scattering · scattering resonances
OP-00494 Open
A periodic nonsingular billiard trajectory in every triangle
DS · AIM Open Applied Problems · periodic orbits · polygonal billiards · triangles
OP-00515 Open
Asymptotic density of reflected wavefronts in a disk
DS · AIM Open Applied Problems · billiards · wave fronts
OP-00531 Partially resolved
An irrational polygon with nonergodic billiard flow
DS · AIM Open Applied Problems · ergodicity · polygonal billiards
OP-00540 Open
A closed nonplanar totally integrable wire billiard in three-space
DS · AIM Open Applied Problems · integrable billiards · twist maps · wire billiards
OP-00543 Open
Are all totally integrable outer-length billiards ellipses?
DS · AIM Open Applied Problems · integrable billiards · outer length billiards
OP-00549 Open
Positive metric entropy for billiards arbitrarily close to an ellipse
DS · AIM Open Applied Problems · convex billiards · metric entropy
OP-00552 Solution claimed
Rigidity of a totally integrable Minkowski billiard in its own unit ball
DS · AIM Open Applied Problems · integrable billiards · Minkowski billiards · twist maps
OP-00564 Open
Circular rigidity of totally integrable strong-field magnetic billiards
DS · AIM Open Applied Problems · integrable billiards · magnetic billiards
OP-00666 Solution claimed
Global Birkhoff billiard integrability conjecture
DS · AIM Open Applied Problems · Birkhoff conjecture · caustics · convex billiards