clopen.solutions

Open problems

980 registered problems.

OP-00279 Open
A degree-two spectral gap for Brownian energy exchange
PR · AIM Open Applied Problems · Brownian energy process · interacting particle systems · spectral gaps
OP-00401 Solution claimed
Non-explosion of Brownian Fleming–Viot systems in arbitrary domains
PR · AIM Open Applied Problems · Fleming–Viot particle systems · killed Brownian motion
OP-00405 Open
The density conjecture for activated random walk on the square lattice
PR · activated random walk · AIM Open Applied Problems · interacting particle systems · self-organized criticality
OP-00407 Open
Consensus in the one-dimensional Axelrod model above the feature threshold
PR · AIM Open Applied Problems · Axelrod model · clustering · interacting particle systems
OP-00413 Solution claimed
Selection of the carbon-monoxide poisoning phase
PR · absorbing states · AIM Open Applied Problems · catalytic surface reactions · interacting particle systems
OP-00422 Open
Coexistence for every positive cyclic invasion rate
PR · AIM Open Applied Problems · coexistence · cyclic competition · interacting particle systems
OP-00431 Open
Does exclusion equilibrate as fast as independent particles?
PR · AIM Open Applied Problems · exclusion processes · interacting particle systems · mixing times
OP-00462 Open
Two stationary phases in a positive-rate nonlinear voter perturbation
PR · AIM Open Applied Problems · interacting particle systems · nonlinear voter models
OP-00474 Open
Spatial coexistence despite extinction in the mean-field game
PR · AIM Open Applied Problems · coexistence · evolutionary games · interacting particle systems
OP-00483 Open
Coexistence in a three-strain colicin model
PR · AIM Open Applied Problems · allelopathy · coexistence · interacting particle systems
OP-00882 Open
The nonlinear Landau limit of weakly interacting particles
AP · AIM Open Applied Problems · Landau equation · particle systems · weak-coupling limits