Limit behavior of two-time-scale diffusions revisited

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Strong convergence rate in averaging principle for stochastic hyperbolic-parabolic equations with two time-scales (2015, background): “These convergence rates can be compared with order 1 2 obtained for the finite dimensional stochastic dynamic systems [20, 14].”
Orders of convergence in the averaging principle for SPDEs: The case of a stochastically forced slow component (2018, background): “The technique of [24] is perfectly suited to prove strong convergence results, whereas to study weak convergence, approaches based on asymptotic expansions of solutions of Kolmogorov equations are very efficient, see [25, 26].”
Strong and weak orders in averaging for SPDEs (2012, methodology): “Convergence in law or in probability of X ε to X in the space C([0, T ], H) can be shown by different techniques: by using a Khasminskii technique based on a subdivision of the interval [0, T ](see [19,15]); a Poisson equation (see [18]); the method of perturbed test functions and of a martingale pr”