%0 Journal Article %T Ergodicity of infinite white $¦Á$-stable Systems with linear and bounded interactions %A Lihu Xu %J Mathematics %D 2009 %I arXiv %X We proved the existence of an infinite dimensional stochastic system driven by white $\alpha$-stable noises ($1<\alpha \leq 2$), and prove this system is strongly mixing. Our method is by perturbing Ornstein-Uhlenbeck $\alpha$-stable processes. %U http://arxiv.org/abs/0911.2868v1