Abstract
This work is concerned with the structural analysis of stationary $\alpha$-stable random fields. Three distinct classes of such random fields are characterized and it is shown that every stationary $\alpha$-stable random field can be uniquely decomposed into the sum of three independent components belonging to these classes. Various examples of stationary $\alpha$-stable random fields are discussed in this context.
Citation
Jan Rosiński. "Decomposition of stationary $\alpha$-stable random fields." Ann. Probab. 28 (4) 1797 - 1813, October 2000. https://doi.org/10.1214/aop/1019160508
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