22 citations · 202 across the 36 of their papers we have counts for
4 papers · 1 filter
Master equations for finite state mean field games with nonlinear activations
Yuan Gao, Wuchen Li, Jian-Guo Liu
We formulate a class of mean field games on a finite state space with variational principles resembling those in continuous-state mean field games. We construct a controlled contin…
A selection principle for weak KAM solutions via Freidlin-Wentzell large deviation principle of invariant measures
Yuan Gao, Jian-Guo Liu
This paper reinterprets Freidlin-Wentzell's variational construction of the rate function in the large deviation principle for invariant measures from the weak KAM perspective. Thr…
Large deviation principle and thermodynamic limit of chemical master equation via nonlinear semigroup
Yuan Gao, Jian-Guo Liu
Chemical reactions can be modeled by a random time-changed Poisson process on countable states. The macroscopic behaviors, such as large fluctuations, can be studied via the WKB re…
Asymptotic stability for diffusion with dynamic boundary reaction from Ginzburg-Landau energy
Yuan Gao, Jean-Michel Roquejoffre
The nonequilibrium process in dislocation dynamics and its relaxation to the metastable transition profile is crucial for understanding the plastic deformation caused by line defec…