Strong couplings are built for Markov chains weakly converging to diffusions, maximizing exact coincidence probability on time grids for non-degenerate and degenerate cases under bounded coefficients.
Stability of Densities for Perturbed Degenerate Diffusions
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Strong Approximations for Markov Chains Weakly Converging to Diffusions
Strong couplings are built for Markov chains weakly converging to diffusions, maximizing exact coincidence probability on time grids for non-degenerate and degenerate cases under bounded coefficients.