2 papers
math.PR2026
Ergodicity for SPDEs driven by divergence-free transport noise
Benjamin Gess, Rishabh S. Gvalani, Adrian Martini
We study the ergodic behaviour of the McKean-Vlasov equations driven by common, divergence-free transport noise. In particular, we show that in dimension , if the noise is…
math.PR2025
Random dynamical systems for McKean--Vlasov SDEs via rough path theory
Benjamin Gess, Rishabh S. Gvalani, Shanshan Hu
The existence of random dynamical systems for McKean--Vlasov SDEs is established. This is approached by considering the joint dynamics of the corresponding nonlinear Fokker-Planck…