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Irreducibility and Asymptotics of Stochastic Burgers Equation Driven by α -stable Processes
Potential Analysis ( IF 1.1 ) Pub Date : 2018-09-27 , DOI: 10.1007/s11118-018-9736-0
Zhao Dong , Feng-Yu Wang , Lihu Xu

The irreducibility, moderate deviation principle and ψ-uniformly exponential ergodicity with ψ(x) := 1 + ∥x0 are proved for stochastic Burgers equation driven by the α-stable processes for α ∈ (1, 2), where the first two are new for the present model, and the last strengthens the exponential ergodicity under total variational norm derived in Dong et al. (J. Stat. Phys. 154:929–949, 2014).

中文翻译:

α稳定过程驱动的随机Burgers方程的不可约性和渐近性

不可约,中等偏差原理和ψ -uniformly指数遍历与ψX):= 1 +∥ X0被证实为随机Burgers方程由从动α为-stable过程α∈(1,2),其中,所述第一两种是当前模型的新特性,最后一种增强了Dong等人得出的总变分范数下的指数遍历性。(J.统计的PHY。154:929-949,2014)。
更新日期:2018-09-27
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