22 citations · 202 across the 36 of their papers we have counts for
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math.AP2022★ 1 cited
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…
math.AP2022★ 1 cited
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…
math.AP2022
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…