Structure of stationary stable processes

@inproceedings{Rosnski1995StructureOS,
  title={Structure of stationary stable processes},
  author={Jan Ros{\'i}nski},
  year={1995}
}
A connection between structural studies of stationary non-Gaussian stable processes and the ergodic theory of nonsingular flows is established and exploited. Using this connection, a unique decomposition of a stationary stable process into three independent stationary parts is obtained. It is shown that the dissipative part of a flow generates a mixed moving average part of a stationary stable process, while the identity part of a flow essentially gives the harmonizable part. The third part of… 
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