O. Butkovsky

activity

20112025

most citedSubgeometric rates of convergence of Markov processes in the Wasserstein metric

69 citations · 139 across the 19 of their papers we have counts for

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Showing 2020 · math.PRShow all

2 papers · 2 filters

math.PR2020

Well-posedness of stochastic heat equation with distributional drift and skew stochastic heat equation

Siva Athreya, Oleg Butkovsky, Khoa Lê +1

We study stochastic reaction--diffusion equation $\partial_{t} u_{t} (x) = \frac{1}{2} \partial_{xx}^{2} u_{t} (x) + b (u_{t} (x)) + W ˙_{t} (x), t > 0, x \in D$ where $b$ is a generalized funct…

math.PR2020★ 1 cited

Asymptotic strong Feller property and local weak irreducibility via generalized couplings

Oleg Butkovsky, Fabrice Wunderlich

In this short note we show how the asymptotic strong Feller property (ASF) and local weak irreducibility can be established via generalized couplings. We also prove that a stronger…