Quantitative contraction rates for McKean-Vlasov stochastic differential equations with multiplicative noise
Abstract
This work focuses on the quantitative contraction rates for McKean-Vlasov stochastic differential equations (SDEs) with multiplicative noise. Under suitable conditions on the coefficients of the SDE, this paper derives explicit quantitative contraction rates for the convergence in Wasserstein distances of McKean-Vlasov SDEs using the coupling method. The contraction results are then used to prove a propagation of chaos uniformly in time, which provides quantitative bounds on convergence rate of interacting particle systems, and establishes exponential ergodicity for McKean-Vlasov SDEs.
Fields of Study & Subjects
Stochastic processes and financial applications
Advanced Thermodynamics and Statistical Mechanics
Gas Dynamics and Kinetic Theory
Publication details
- Journal / source
- Stochastic Models
- Publisher
- Informa UK Limited
- Pages
- 1–42
- Publication date
- 18 June 2026
- Language
- EN