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math.PR2024
Geometric ergodicity of modified Euler schemes for SDEs with super-linearity
Jianhai Bao, Mateusz B. Majka, Jian Wang
As a well-known fact, the classical Euler scheme works merely for SDEs with coefficients of linear growth. In this paper, we study a general framework of modified Euler schemes, wh…
math.PR2023
-Wasserstein contraction for Euler schemes of elliptic diffusions and interacting particle systems
Linshan Liu, Mateusz B. Majka, Pierre Monmarché
We show the -Wasserstein contraction for the transition kernel of a discretised diffusion process, under a contractivity at infinity condition on the drift and a sufficiently…
math.PR2016★ 1 cited
A note on existence of global solutions and invariant measures for jump SDEs with locally one-sided Lipschitz drift
Mateusz B. Majka
We extend some methods developed by Albeverio, Brzeźniak and Wu and we show how to apply them in order to prove existence of global strong solutions of stochastic differential equa…