On limiting behavior of stationary measures for stochastic evolution systems with small noise intensity

DOI10.1007/s11425-018-9527-1zbMath1467.60026arXiv1611.07223OpenAlexW2972342728WikidataQ127240572 ScholiaQ127240572MaRDI QIDQ2193949

Jianliang Zhai, Zhao Dong, Lifeng Chen, Ji-Fa Jiang

Publication date: 25 August 2020

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.07223

zbMATH Keywords

Lyapunov functionstationary measuresupportstochastic evolution systemlimit measureBirkhoff center

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Ergodicity, mixing, rates of mixing (37A25) Applications of stochastic analysis (to PDEs, etc.) (60H30) Stochastic functional-differential equations (34K50) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Convergence of probability measures (60B10) Invariant measures for infinite-dimensional dissipative dynamical systems (37L40) Nonlinear processes (e.g., (G)-Brownian motion, (G)-Lévy processes) (60G65)

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