No Markovian coupling captures the TV decay rate for kinetic Langevin with quadratic potential; a non-Markovian optimal-control coupling interprets and strengthens existing sharp bounds while removing assumptions for OBABO.
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On couplings for kinetic Langevin diffusions
No Markovian coupling captures the TV decay rate for kinetic Langevin with quadratic potential; a non-Markovian optimal-control coupling interprets and strengthens existing sharp bounds while removing assumptions for OBABO.