clopen.solutions

Open problems

980 registered problems.

OP-00298 Open
Oscillation of partition functions under very strong disorder
PR · AIM Open Applied Problems · directed polymers · random walks in random potentials
OP-00313 Open
Low-degree representations determining a unitary shuffle's gap
PR · AIM Open Applied Problems · random walks on groups · spectral gaps · unitary groups
OP-00403 Solution claimed
Does supercritical percolation preserve transience?
PR · AIM Open Applied Problems · Cayley graphs · percolation · random walks
OP-00434 Open
Monotonicity of transport speed on Galton–Watson trees
PR · AIM Open Applied Problems · biased random walks · Galton–Watson trees
OP-00450 Open
Liouville invariance under changing local moves on a Cayley network
PR · AIM Open Applied Problems · Liouville property · Poisson boundaries · random walks on groups
OP-00480 Open
A spectral gap for almost every pair of quantum gates
GR · AIM Open Applied Problems · random walks on compact groups · spectral gaps
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-00807 Solution claimed
Zero in the upper-Laplacian spectrum of low-degree simplicial complexes
SP · AIM Open Applied Problems · branching random walks · simplicial complexes · upper Laplacian
OP-00955 Open
Random generators of the alternating group give fast mixing
GR · alternating groups · Cayley graphs · expanders · mixing time · random walks on groups