On the structure and representations of max-stable processes

  title={On the structure and representations of max-stable processes},
  author={Yizao Wang and Stilian A. Stoev},
  journal={Advances in Applied Probability},
  pages={855 - 877}
We develop classification results for max-stable processes, based on their spectral representations. The structure of max-linear isometries and minimal spectral representations play important roles. We propose a general classification strategy for measurable max-stable processes based on the notion of co-spectral functions. In particular, we discuss the spectrally continuous-discrete, the conservative-dissipative, and the positive-null decompositions. For stationary max-stable processes, the… 
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