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References

  1. J. Aaronson. An introduction to infinite ergodic theory. AMS, 1997.MR1450400
  2. S. Cohen and G. Samorodnitsky. Random rewards, fractional Brownian local times and stable self-similar processes. The Annals of Applied Probability , 16(3):1432–1461, 2006.MR2260069
  3. C. Dombry and N. Guillotin-Plantard. Discrete approximation of a stable self-similar stationary increments process. Bernoulli , 15(1):195-222, 2009.MR2546804
  4. A. Gross and J.B. Robertson. Ergodic properties of random measures on stationary sequences of sets. Stochastic Processes and their Applications , 46(2):249–265, 1993.MR1226411
  5. A. Gross. Some mixing conditions for stationary symmetric stable stochastic processes. Stochastic Processes and their Applications , 51(2):277–295, 1994.MR1288293
  6. P. Jung and G. Markowsky. Scaling limits of random walks in alternating scenery and a construction of fractional Brownian motion. Preprint, 2011. Math. Review number not available.
  7. J. Rosinski. On the structure of stationary stable processes. The Annals of Probability, 23(3):1163–1187, 1995.MR1349166
  8. G. Samorodnitsky. Extreme value theory, ergodic theory and the boundary between short memory and long memory for stationary stable processes. Annals of Probability , 32(2):1438–1468, 2004.MR2060304
  9. G. Samorodnitsky. Null flows, positive flows and the structure of stationary symmetric stable processes. Annals of probability , 33(5):1782–1803, 2005.MR2165579
  10. D. Surgailis, J. Rosinski, V. Mandrekar, and S. Cambanis. Stable mixed moving averages. Probability Theory and Related Fields , 97(4):543–558, 1993.MR1246979
  11. G. Samorodnitsky and M.S. Taqqu. Stable non-Gaussian random processes: stochastic models with infinite variance . Chapman & Hall/CRC, 1994.MR1280932
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