Ergodicity of infinite white $α$-stable Systems with linear and bounded interactions

Mathematics – Probability

Scientific paper

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20 pages

Scientific paper

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.

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