clopen.solutions

Open problems

980 registered problems.

OP-00033 Partially resolved
Fast mixing of Glauber dynamics for the SK model up to β = 1
PR · Glauber dynamics · mixing time · Randomstrasse101 · Sherrington–Kirkpatrick model · spin glasses
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-00415 Open
Rapid sampling of proper colorings at the ergodicity threshold
PR · AIM Open Applied Problems · Glauber dynamics · mixing times · proper colorings
OP-00419 Open
Polynomial equilibration at the four-state planar Potts critical point
PR · AIM Open Applied Problems · Glauber dynamics · mixing times · Potts model
OP-00431 Open
Does exclusion equilibrate as fast as independent particles?
PR · AIM Open Applied Problems · exclusion processes · interacting particle systems · mixing times
OP-00445 Open
Polynomial mixing of planar Ising dynamics with plus boundary
PR · AIM Open Applied Problems · Glauber dynamics · Ising model · mixing times
OP-00446 Open
A constant comparison between systematic and random Ising updates
PR · AIM Open Applied Problems · Glauber dynamics · Ising model · mixing times
OP-00485 Open
A diameter bound for diffusion to uniform equilibrium
PR · AIM Open Applied Problems · mixing times · random walks on graphs · vertex-transitive graphs
OP-00955 Open
Random generators of the alternating group give fast mixing
GR · alternating groups · Cayley graphs · expanders · mixing time · random walks on groups