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math.PR2021★ 1 cited
Total variation distance between two diffusions in small time with unbounded drift: application to the Euler-Maruyama scheme
Pierre Bras, Gilles Pagès, Fabien Panloup
We give bounds for the total variation distance between the solutions to two stochastic differential equations starting at the same point and with close coefficients, which applies…
math.NA2021
Multilevel-Langevin pathwise average for Gibbs approximation
Maxime Egéa, Fabien Panloup
We propose and study a new multilevel method for the numerical approximation of a Gibbs distribution on , based on (overdamped) Langevin diffusions. This method i…