clopen.solutions

Open problems

1067 registered problems.

OP-00268 Open
Log-concavity of Gaussian convex-hull intersection probabilities
PR · AIM Open Applied Problems · Gaussian random points · log-concave sequences · Radon partitions
OP-00272 Open
The spectral honeycomb conjecture
SP · AIM Open Applied Problems · Dirichlet eigenvalues · honeycomb conjecture · spectral minimal partitions
OP-00304 Open
Mixing time of the reflected Burnside sampler for integer partitions
PR · AIM Open Applied Problems · Burnside process · integer partitions · mixing times
OP-00312 Open
Unimodality of Radon partitions for uniform convex samples
PR · AIM Open Applied Problems · Radon partitions · Sylvester's four-point problem · unimodal sequences
OP-00436 Open
Balanced Gaussian simplex noise stability for four or more classes
PR · AIM Open Applied Problems · Gaussian partitions · noise stability
OP-00605 Open
The three-dimensional lattice-periodic Kelvin problem
AP · AIM Open Applied Problems · Kelvin problem · lattice tilings · minimal partitions
OP-00759 Solution claimed
The Mercedes-star partition of a disk
SP · AIM Open Applied Problems · Dirichlet eigenvalues · spectral minimal partitions
OP-00898 Open
Sierksma's lower bound for Tverberg partitions
MG · AIM Open Applied Problems · Sierksma's conjecture · Tverberg partitions
OP-01037 Partially resolved
A partition of the Boolean cube with no structured sumset
CO · additive combinatorics · finite field model · Hamming balls · partitions · sumsets